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University of North Texas
1.
Adhikari, Dikshya.
The Role of Eigenvalues of Parity Check Matrix in Low-Density Parity Check Codes.
Degree: 2020, University of North Texas
URL: https://digital.library.unt.edu/ark:/67531/metadc1707297/
► The new developments in coding theory research have revolutionized the application of coding to practical systems. Low-Density Parity Check (LDPC) codes form a class of…
(more)
▼ The new developments in coding theory research have revolutionized the application of coding to practical systems. Low-Density Parity Check (
LDPC) codes form a class of Shannon limit approaching codes opted for digital communication systems that require high reliability. This thesis investigates the underlying relationship between the spectral properties of the parity check matrix and
LDPC decoding convergence. The bit error rate of an
LDPC code is plotted for the parity check matrix that has different Second Smallest Eigenvalue Modulus (SSEM) of its corresponding Laplacian matrix. It is found that for a given (n,k)
LDPC code, large SSEM has better error floor performance than low SSEM. The value of SSEM decreases as the sparseness in a parity-check matrix is increased. It was also found from the simulation that long
LDPC codes have better error floor performance than short codes. This thesis outlines an approach to analyze
LDPC decoding based on the eigenvalue analysis of the corresponding parity check matrix.
Advisors/Committee Members: Namuduri, Kamesh, Varanasi, Murali, Buckles, Bill.
Subjects/Keywords: LDPC; SSEM
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2.
Mahdi, Ahmed.
Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC.
Degree: 2010, University of Patras
URL: http://nemertes.lis.upatras.gr/jspui/handle/10889/4280
► Η διπλωματική εργασία επικεντρώνεται στη μελέτη της κωδικοποίησης για κώδικες LDPC. Στα πλαίσιά της, θα μελετηθούν τα προβλήματα και η πολυπλοκότητα κωδικοποίησης συναρτήσει του μήκους…
(more)
▼ Η διπλωματική εργασία επικεντρώνεται στη μελέτη της κωδικοποίησης για κώδικες LDPC. Στα πλαίσιά της, θα μελετηθούν τα προβλήματα και η πολυπλοκότητα κωδικοποίησης συναρτήσει του μήκους της κωδικής λέξης. Έμφαση θα δοθεί σε εφαρμογές με μεγάλο μήκος κωδικής λέξης όπως εκείνες που χρησιμοποιούνται σε νέες τηλεπικοινωνιακές εφαρμογές, όπως δορυφορικό Digital Video Broadcast (DVB) DVB-S2, IEEE 802.3an (10GBASE-T) και IEEE 802.16(WiMAX).
Σε τέτοιες εφαρμογές όπου η κωδική λέξη μπορεί να έχει μήκος αρκετά μεγαλύτερο των 1000 bits, η πολυπλοκότητα κωδικοποίησης είναι σημαντική. Αυτό συμβαίνει διότι απαιτούνται μεγάλες σε μέγεθος μνήμες για την αποθήκευση του Πίνακα Έλεγχου Ισοτιμίας (Parity-check Matrix H), πολύ μεγάλη χρονική επεξεργαστική πολυπλοκότητα O(n2) αλλά και πολλά επεξεργαστικά στοιχεία τάξης Ο(n2).
Ο σκοπός λοιπόν είναι να μελετηθούν οι αλγόριθμοι κωδικοποίησης και να μελετηθεί πώς μπορεί να αξιοποιηθεί η αραιότητα του Πίνακα Έλεγχου Ισοτιμίας έτσι ώστε να επιτευχθεί κατά το δυνατόν γραμμική πολυπλοκότητα O(n) κωδικοποίησης.
Στη συνέχεια, αφού αναπτυχθεί η κατάλληλη μέθοδος κωδικοποίησης, θα ακολουθήσει η μελέτη και ο σχεδιασμός μίας βέλτιστης VLSI αρχιτεκτονικής για την υλοποίηση σε υλικό του LDPC κωδικοποιητή, ώστε να ικανοποιεί και άλλα πρακτικά κριτήρια, με έμφαση στη μείωση της καθυστέρησης και της απαιτούμενης επιφάνειας. Θα αναπτυχθεί επίσης μια κατάλληλη αρχιτεκτονική για διάφορους βαθμούς παραλληλίας του κωδικοποιητή.
An LDPC code is a linear block code specified by a very sparse parity check matrix (PCM). LDPC codes are usually represented by a bi-partite graph in which a variable node corresponds to a ’coded bit’ or a PCM column, and a check node corresponds to a parity check equation or a PCM row. There is an edge between each pair of nodes if there is a ’one’ in the corresponding PCM entry. In a general analysis an (n, k) LDPC code has k information bits and n coded bits with code rate r = k/n.
An important issue in the implementation of LDPC-code based forward error correction systems is the encoding of LDPC codes. Generally, LDPC codes cannot have the simple encoding structures based on of shift registers as in the case of convolutional, turbo codes, or cyclic block codes. However, general LDPC codes do not fall in this category. Except QC-cyclic LDPC codes, most efficient LDPC codes, especially irregular LDPC codes are hard to encode with the idea of shift registers.
A straightforward way is to derive a systematic generator matrix from a PCM, and then to encode LDPC code systematically with the generator matrix. This can work for every LDPC code in theory, but practically it is a very bad idea because it has high complexity, as the generator matrix derived from parity-check matrix is not sparse contrasted to the PCM. Generator matrix can be very dense matrix. The objective is to utilize the sparseness to achieve LDPC encoding in linear time.
This Master’s thesis presents a flexible encoder architecture using QC-cyclic LDPC codes and efficient two-step encoding algorithm in…
Advisors/Committee Members: Παλιουράς, Βασίλειος, Μπίρμπας, Αλέξιος, Μπερμπιρίδης, Κωνσταντίνος, Παλιουράς, Βασίλειος.
Subjects/Keywords: Κωδικοποιητές; Κώδικες LDPC; 005.72; Encoders; LDPC codes
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APA ·
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APA (6th Edition):
Mahdi, A. (2010). Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC. (Masters Thesis). University of Patras. Retrieved from http://nemertes.lis.upatras.gr/jspui/handle/10889/4280
Chicago Manual of Style (16th Edition):
Mahdi, Ahmed. “Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC.” 2010. Masters Thesis, University of Patras. Accessed January 24, 2021.
http://nemertes.lis.upatras.gr/jspui/handle/10889/4280.
MLA Handbook (7th Edition):
Mahdi, Ahmed. “Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC.” 2010. Web. 24 Jan 2021.
Vancouver:
Mahdi A. Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC. [Internet] [Masters thesis]. University of Patras; 2010. [cited 2021 Jan 24].
Available from: http://nemertes.lis.upatras.gr/jspui/handle/10889/4280.
Council of Science Editors:
Mahdi A. Αρχιτεκτονική και υλοποίηση κωδικοποιητών VLSI για κώδικες LDPC. [Masters Thesis]. University of Patras; 2010. Available from: http://nemertes.lis.upatras.gr/jspui/handle/10889/4280

University of Alberta
3.
Zhang, Shuai.
Controlling the Error Floors of the Low-Density Parity-Check
Codes.
Degree: PhD, Department of Electrical and Computer
Engineering, 2012, University of Alberta
URL: https://era.library.ualberta.ca/files/5425kb98q
► The goal of error control coding is to encode information in such a way, that in the event that errors occur during transmission over a…
(more)
▼ The goal of error control coding is to encode
information in such a way, that in the event that errors occur
during transmission over a noisy communication channel or during
storage in an unreliable memory, the receiver can correct the
errors and recover the original transmitted information.
Low-density parity-check (LDPC) codes are a kind of high
performance linear block code, which are already used in many
recent communication systems. Information rates guaranteed by these
codes approach the theoretical Shannon capacity limit. In addition,
LDPC codes are now widely used in practice and included in many
communication standards. Therefore study of these codes is very
important and practical approaches to their design and decoding
techniques are of great interest. There exist very good decoding
algorithms for LDPC codes with respect to different channel models.
However, LDPC codes suffer from the infamous error floor problem at
high signal-to-noise ratios. This problem is attributed to the
trapping sets by Richardson. It is shown that the dominant trapping
sets of regular LDPC codes, so called absorption sets, undergo a
two-phase dynamic behavior in the iterative message-passing
decoding algorithm. We present a linear dynamic model for the
iteration behavior of these sets. It can be seen that they undergo
an initial geometric growth phase which stabilizes in a final
bit-flipping behavior where the algorithm reaches a fixed point.
Our analysis is shown to lead to very accurate numerical
calculations of the error floor bit error rates down to error rates
that are inaccessible by simulation. The topologies of the dominant
absorption sets of two example codes, the IEEE 802.3an [2048,1723]
regular (6,32) LDPC code and the Tanner [155,64,20] regular (3,5)
LDPC code, are identified and tabulated by using topological
features in combination with search algorithms, respectively. To
make our analysis more complete, we provide more solid evidence
showing that trapping sets are equivalent to absorption sets. In
other words, we argue that absorption sets characterize all failure
mechanisms. Some insights from our linear analysis can be borrowed
to approach this problem. Another insight that this formula
provides to us is the means to reduce the error floor, which is
another important part of what we hoped to achieve by developing
the formula in the first place. By allowing the log-likelihood
ratios (LLRs) utilized by the message-passing decoding to grow
bigger in precision length, the absorption sets as a
trouble-causing structure will be successfully corrected.
Therefore, the absorption sets, generically born with the code
design, will no longer threaten the error correcting performance as
long as the messages have enough room and time to grow. This
translates to greater LLR clipping thresholds and more iterations,
both of which are preset at the decoder. However, the actual
settings are dependent on how much the subgraph of the dominant
absorption set resembles that of a non-zero minimum-weight
codeword, therefore the settings…
Subjects/Keywords: LDPC; Error Floor
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, S. (2012). Controlling the Error Floors of the Low-Density Parity-Check
Codes. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/5425kb98q
Chicago Manual of Style (16th Edition):
Zhang, Shuai. “Controlling the Error Floors of the Low-Density Parity-Check
Codes.” 2012. Doctoral Dissertation, University of Alberta. Accessed January 24, 2021.
https://era.library.ualberta.ca/files/5425kb98q.
MLA Handbook (7th Edition):
Zhang, Shuai. “Controlling the Error Floors of the Low-Density Parity-Check
Codes.” 2012. Web. 24 Jan 2021.
Vancouver:
Zhang S. Controlling the Error Floors of the Low-Density Parity-Check
Codes. [Internet] [Doctoral dissertation]. University of Alberta; 2012. [cited 2021 Jan 24].
Available from: https://era.library.ualberta.ca/files/5425kb98q.
Council of Science Editors:
Zhang S. Controlling the Error Floors of the Low-Density Parity-Check
Codes. [Doctoral Dissertation]. University of Alberta; 2012. Available from: https://era.library.ualberta.ca/files/5425kb98q

Texas A&M University
4.
Ni, Yuanpeng.
Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder.
Degree: MS, Computer Engineering, 2016, Texas A&M University
URL: http://hdl.handle.net/1969.1/187335
► As the demand for high speed and high quality connectivity is increasing exponentially, channels are getting more and more crowded. The need for a high…
(more)
▼ As the demand for high speed and high quality connectivity is increasing exponentially, channels are getting more and more crowded. The need for a high performance and low error floor channel decoder is apparent. Low-density parity-check code (
LDPC) is a linear error correction code that can reach near Shannon limit. In this work,
LDPC code construction and decoding algorithms are discussed, the
LDPC decoder, in fully parallel and partial parallel, was implemented, and the features and issues related to corresponding architecture are analyzed. Furthermore, a multi-frame processing approach, based on pipelining and out-of-order processing, is proposed. The implemented decoder achieves 12.6 Gbps at 3.0 dB SNR. The mixed precision scheme is explored by adding precision control and alignment units before and after check node units (CNU) to improve performance, as well as error floor. By mixing the 6-bit and 5-bit precision CNUs at 1:1 ratio, the decoder reaches ~0.5 dB lower FER and BER while retaining a low error floor.
Advisors/Committee Members: Choi, Gwan (advisor), Hu, Jiang (committee member), Walker, Duncan (committee member).
Subjects/Keywords: LDPC; error floor; ECC; decoding
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ni, Y. (2016). Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/187335
Chicago Manual of Style (16th Edition):
Ni, Yuanpeng. “Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder.” 2016. Masters Thesis, Texas A&M University. Accessed January 24, 2021.
http://hdl.handle.net/1969.1/187335.
MLA Handbook (7th Edition):
Ni, Yuanpeng. “Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder.” 2016. Web. 24 Jan 2021.
Vancouver:
Ni Y. Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder. [Internet] [Masters thesis]. Texas A&M University; 2016. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1969.1/187335.
Council of Science Editors:
Ni Y. Mixed Precision Multi-frame Parallel Low-Density Parity-Check Code Decoder. [Masters Thesis]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/187335

University College Cork
5.
Grandhi, Satish Kumar.
Reliable chip design from low powered unreliable components.
Degree: 2019, University College Cork
URL: http://hdl.handle.net/10468/8610
► The pace of technological improvement of the semiconductor market is driven by Moore’s Law, enabling chip transistor density to double every two years. The transistors…
(more)
▼ The pace of technological improvement of the semiconductor market is driven by Moore’s Law, enabling chip transistor density to double every two years. The transistors would continue to decline in cost and size but increase in power. The continuous transistor scaling and extremely lower power constraints in modern Very Large Scale Integrated(VLSI) chips can potentially supersede the benefits of the technology shrinking due to reliability issues. As VLSI technology scales into nanoscale regime, fundamental physical limits are approached, and higher levels of variability, performance degradation, and higher rates of manufacturing defects are experienced. Soft errors, which traditionally affected only the memories, are now also resulting in logic circuit reliability degradation. A solution to these limitations is to integrate reliability assessment techniques into the Integrated Circuit(IC) design flow. This thesis investigates four aspects of reliability driven circuit design: a)Reliability estimation; b) Reliability optimization; c) Fault-tolerant techniques, and d) Delay degradation analysis. To guide the reliability driven synthesis and optimization of combinational circuits, highly accurate probability based reliability estimation methodology christened Conditional Probabilistic Error Propagation(CPEP) algorithm is developed to compute the impact of gate failures on the circuit output. CPEP guides the proposed rewriting based logic optimization algorithm employing local transformations. The main idea behind this methodology is to replace parts of the circuit with functionally equivalent but more reliable counterparts chosen from a precomputed subset of Negation-Permutation-Negation(NPN) classes of 4-variable functions. Cut enumeration and Boolean matching driven by reliability-aware optimization algorithm are used to identify the best possible replacement candidates. Experiments on a set of MCNC benchmark circuits and 8051 functional microcontroller units indicate that the proposed framework can achieve up to 75% reduction of output error probability. On average, about 14% SER reduction is obtained at the expense of very low area overhead of 6.57% that results in 13.52% higher power consumption. The next contribution of the research describes a novel methodology to design fault tolerant circuitry by employing the error correction codes known as Codeword Prediction Encoder(CPE). Traditional fault tolerant techniques analyze the circuit reliability issue from a static point of view neglecting the dynamic errors. In the context of communication and storage, the study of novel methods for reliable data transmission under unreliable hardware is an increasing priority. The idea of CPE is adapted from the field of forward error correction for telecommunications focusing on both encoding aspects and error correction capabilities. The proposed Augmented Encoding solution consists of computing an augmented codeword that contains both the codeword to be transmitted on the channel and extra parity bits. A Computer Aided…
Advisors/Committee Members: Popovici, Emanuel.
Subjects/Keywords: LDPC; AIG; Logic synthesis; Reliability
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Grandhi, S. K. (2019). Reliable chip design from low powered unreliable components. (Thesis). University College Cork. Retrieved from http://hdl.handle.net/10468/8610
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Grandhi, Satish Kumar. “Reliable chip design from low powered unreliable components.” 2019. Thesis, University College Cork. Accessed January 24, 2021.
http://hdl.handle.net/10468/8610.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Grandhi, Satish Kumar. “Reliable chip design from low powered unreliable components.” 2019. Web. 24 Jan 2021.
Vancouver:
Grandhi SK. Reliable chip design from low powered unreliable components. [Internet] [Thesis]. University College Cork; 2019. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10468/8610.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Grandhi SK. Reliable chip design from low powered unreliable components. [Thesis]. University College Cork; 2019. Available from: http://hdl.handle.net/10468/8610
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Arizona
6.
Sun, Xiaole.
Secure and Reliable Communications over Free-space Optical Channels
.
Degree: 2019, University of Arizona
URL: http://hdl.handle.net/10150/631902
► Free-space optical (FSO) communication provides a promising alternative solution to the traditional radio frequency (RF) communications. Compared to the RF technology, there are many advantages…
(more)
▼ Free-space optical (FSO) communication provides a promising alternative solution to the traditional radio frequency (RF) communications. Compared to the RF technology, there are many advantages of FSO communications, such as ultra-high bandwidth, license-free spectrum, low inter-channel interference, and energy-efficient transmission. The potential applications for FSO communication include the last-one-mile access link from the fiber-based backbone network, low earth orbit (LEO) satellite communications, high-altitude base station platforms or vehicles, deep-space communications, and in-building automation connections. As the FSO technology becomes mature and increasingly involved, the security and reliability requirements of such applications also become crucial.
Regarding the security issues, although the FSO communication is inherently more secure than the RF counterpart due to high directivity of its line-of-sight (LOS) link, it can still suffer from optical wire-tapping attack. There are many different application schemes that an eavesdropper can still probe the FSO link. Traditionally, to protect the communication, many works have been done on encryption layer and upper network layer, such as computationally intensive cryptographic algorithms and message exchanging protocols. In recent years, physical-layer security (PLS) has been getting more attentions as it provides an extra layer of security against eavesdropping. The PLS schemes, in general can be categorized into two main categories: classical PLS and quantum key distribution (QKD) protocols. The classical PLS is based on the information theoretic security analysis, while the QKD security is guaranteed by the quantum mechanics laws. Both techniques have been studied for FSO channels. In the first half of this dissertation, we study the PLS in a LOS FSO channel using orbital angular momentum (OAM) multiplexing and show that higher secrecy capacity can be achieved using OAM multiplexing technology in the presence of atmospheric turbulence effects. Then, we proposed an adaptation scheme for QKD system over FSO channel with different QKD protocols, i.e. BB84 and decoy state protocols. By adapting the source brightness based on the channel condition, we optimized the secret key rate (SKR) of the QKD system. Furthermore, we proposed a multiple spatial modes-based QKD system with backpropagation method to increase the total SKR through parallel channels.
Regarding the reliability of an optical communication system as well as information reconciliation for both PLS and QKD schemes, the forward error correction (FEC) becomes an essential technique to enable high-speed transmission. The FEC with low-density parity-check (
LDPC) codes has been studied for decades from
LDPC block codes to the most recent spatially-coupled (SC)
LDPC codes. For FSO communications, due to the time-varying nature of FSO channels, the capability of rate adaptation is important to achieve a consistent reliable transmission. In the second half of this dissertation, we proposed unified…
Advisors/Committee Members: Djordjevic, Ivan B (advisor), Bilgin, Ali (committeemember), Kilper, Daniel (committeemember).
Subjects/Keywords: FPGA;
FSO;
LDPC;
QKD
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Sun, X. (2019). Secure and Reliable Communications over Free-space Optical Channels
. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/631902
Chicago Manual of Style (16th Edition):
Sun, Xiaole. “Secure and Reliable Communications over Free-space Optical Channels
.” 2019. Doctoral Dissertation, University of Arizona. Accessed January 24, 2021.
http://hdl.handle.net/10150/631902.
MLA Handbook (7th Edition):
Sun, Xiaole. “Secure and Reliable Communications over Free-space Optical Channels
.” 2019. Web. 24 Jan 2021.
Vancouver:
Sun X. Secure and Reliable Communications over Free-space Optical Channels
. [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10150/631902.
Council of Science Editors:
Sun X. Secure and Reliable Communications over Free-space Optical Channels
. [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/631902

Georgia Tech
7.
Dihidar, Souvik.
Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks.
Degree: PhD, Electrical and Computer Engineering, 2006, Georgia Tech
URL: http://hdl.handle.net/1853/13969
► Error control coding in some form is present in virtually every communication system today. Recently, Low Density Parity Check (LDPC) codes have been proposed along…
(more)
▼ Error control coding in some form is present in virtually every communication system today. Recently, Low Density Parity Check (
LDPC) codes have been proposed along with a simple iterative decoding algorithm. These codes have been demonstrated to perform very close to the Shannon Limit. The simplicity of
LDPC codes have also led to many interesting asymptotic and finite-length properties of these codes. The techniques for designing good
LDPC codes over a wide variety of channels have been studied.
LDPC codes are being used in a wide variety of applications, such as fading channels, Orthogonal Frequency Division Multiplexing (OFDM) systems, source compression etc. This proposal investigates the use of
LDPC codes in wiretap channel systems such as quantum key distribution and for congestion localization in large networks.
Quantum Key Distribution (QKD) is secure key exchange method where the two legitimate parties first transmit information over a quantum channel, which can be eavesdropped on by the eavesdropper. The QKD system can be modeled as a special case of an wiretap channel system. An wiretap chanel system is a broadcast system, where the sender has to send a message to a legitimate party over a main channel. The wiretapper also receives the message through another channel called the wiretap channel. The sender has to code the transmitted message in such a way so that the legitimate party is able to recover the message without errors, whereas the wiretapper essentially has no information about the message. As we will see, the encoder for such a system is stochastic as opposed to a deterministic encoder in error correction coding. In this research, we propose a coding scheme using
LDPC codes for such systems.
Congestion in a network occurs when some nodes receive more traffic than they can process. It leads to dropping packets and thus lowering the throughput. On the contrary, if other nodes in the network are aware of the congested nodes, new packets can be dynamically routed through less congested routes. We developed a congestion detection mechanism wherein a few high priority probe packets are routed through the network. A central entity collects the contents of all the probe packets and estimates the state (congested or not) of every node in the network. One important parameter of congeston localization schemes is scalability, i.e. how the number of measurements scales with the size of network as the size of the network grows. We have shown that it is possible to do congestion detection using our scheme for a properly designed network with the number of measurements required growing linearly with the size of the network.
Advisors/Committee Members: Steven W. McLaughlin (Committee Chair), Chuanyi Ji (Committee Member), Faramarz Fekri (Committee Member), Xingxing Yu (Committee Member), Yorai Wardi (Committee Member).
Subjects/Keywords: LDPC; Wiretap
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Dihidar, S. (2006). Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/13969
Chicago Manual of Style (16th Edition):
Dihidar, Souvik. “Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks.” 2006. Doctoral Dissertation, Georgia Tech. Accessed January 24, 2021.
http://hdl.handle.net/1853/13969.
MLA Handbook (7th Edition):
Dihidar, Souvik. “Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks.” 2006. Web. 24 Jan 2021.
Vancouver:
Dihidar S. Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks. [Internet] [Doctoral dissertation]. Georgia Tech; 2006. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1853/13969.
Council of Science Editors:
Dihidar S. Applications of Low Density Parity Check Codes for Wiretap Channels and Congestion Localization in Networks. [Doctoral Dissertation]. Georgia Tech; 2006. Available from: http://hdl.handle.net/1853/13969

University of Waterloo
8.
Li, Si-Yun.
Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder.
Degree: 2012, University of Waterloo
URL: http://hdl.handle.net/10012/6962
► In this thesis, we present an FPGA implementation of parallel-node low-density-parity-check convolutional-code (PN-LDPC-CC) encoder and decoder. A 2.4 Gbit/s rate-1/2 (3, 6) PN-LDPC-CC encoder and…
(more)
▼ In this thesis, we present an FPGA implementation of parallel-node low-density-parity-check convolutional-code (PN-LDPC-CC) encoder and decoder. A 2.4 Gbit/s rate-1/2 (3, 6) PN-LDPC-CC encoder and decoder were implemented on an Altera development and education board (DE4). Detailed power measurements of the FPGA board for various configurations of the design have been conducted to characterize the power consumption of the decoder module. For an Eb/N0 of 5 dB, the decoder with 9 processor cores (pipelined decoder iteration stages) has a bit-error-rate performance of 10E-10 and achieves an energy-per-coded-bit of 1.683 nJ based on raw power measurement results. The increase in Eb/N0 can effectively reduce the decoder power and energy-per-coded-bit for configurations with 5 or more processor cores for Eb/N0 < 5 dB. The incremental decoder power cost and incremental energy-per-coded-bit also hold a linearly decreasing trend for each additional processor core. Additional experiments are performed to account for the effect of the efficiency of the DC/DC converter circuitry on the raw power measurement data. Further experiments have also been conducted to quantify the effect of clipping thresholds, bit width for each processor core on bit-error-rate (BER) performance, power consumption, and logic utilization of the decoder. A “6Core" decoder with growing bit-width log-likelihood ratios (LLRs) has been found to have a BER performance near that of a “6Core" 6-bit decoder while consuming similar power, and logic utilization to that of a 5-bit “6Core" decoder.
Subjects/Keywords: LDPC; FPGA; Convolutional Codes; FEC
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❌
APA ·
Chicago ·
MLA ·
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Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Li, S. (2012). Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/6962
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Li, Si-Yun. “Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder.” 2012. Thesis, University of Waterloo. Accessed January 24, 2021.
http://hdl.handle.net/10012/6962.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Li, Si-Yun. “Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder.” 2012. Web. 24 Jan 2021.
Vancouver:
Li S. Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder. [Internet] [Thesis]. University of Waterloo; 2012. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10012/6962.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Li S. Power Characterization of a Gbit/s FPGA Convolutional LDPC Decoder. [Thesis]. University of Waterloo; 2012. Available from: http://hdl.handle.net/10012/6962
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Queens University
9.
Alnabulsi, Basel.
LDPC-OFDM: Channel Estimation and Power considerations
.
Degree: Electrical and Computer Engineering, 2013, Queens University
URL: http://hdl.handle.net/1974/7981
► Small cells are low-powered radio access nodes that operate in licensed and unlicensed spectrum that have a range of 10 meters to 200 meters, compared…
(more)
▼ Small cells are low-powered radio access nodes that operate in licensed and unlicensed spectrum that have a range of 10 meters to 200 meters, compared to a mobile macrocell which might have a range of a few kilometres. This dissertation proposes algorithms for the enhancement of small cells installed in high speed rails. The thesis addresses two main points: the link between the small cell and the base station, and the link between the end-users and the small cell. The channel between the small cell and the base station is a fast fading channel due to the mobility of the high speed rail. The first part of the thesis proposes methods to enhance the link between the small cell and the base station using Low-Density Parity-Check codes (LDPC) for fast fading channels. The proposed uses nonuniform reconstruction methods based on the soft output log-likelihood ratio (LLR) provided by the LDPC decoder. The LLRs provide information about the location of the symbols with high probability of being correct. The grid formed under the assumption
of a correlated Rayleigh channel affecting the transmitted data is highly nonuniform. Reconstruction of the channel under such assumptions is highly unstable. A signal-to-noise- ratio dependent regularization method is implemented to enhance the performance under imperfect Doppler spread estimation. The second part of the thesis proposes algorithms for the link between the end-user and the small cell. Since power efficiency is a major factor for end-users employing battery powered devices, we propose a Linear Programming (LP) algorithm for signal shaping to minimize the average transmitted power. The other problem the thesis addresses is the minimization of Peak-to-Average Power-Ratio (PAPR) of Orthogonal Frequency Division Multiplexing (OFDM) signals. The PAPR is minimized using a set of phase shifts for the constituting subcarriers of the OFDM signal. The set of phase shifts is determined using a LP approach that minimizes the complexity when the block length is high. A real-time implementation of some of the algorithms is carried out using the TMS320C6713 Texas Instruments board. The results for fixed-point versus floating-point implementation is shown for a different number of precision bits.
Subjects/Keywords: LDPC; OFDM; PAPR; Nonuniform Interpolation
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Alnabulsi, B. (2013). LDPC-OFDM: Channel Estimation and Power considerations
. (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/7981
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Alnabulsi, Basel. “LDPC-OFDM: Channel Estimation and Power considerations
.” 2013. Thesis, Queens University. Accessed January 24, 2021.
http://hdl.handle.net/1974/7981.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Alnabulsi, Basel. “LDPC-OFDM: Channel Estimation and Power considerations
.” 2013. Web. 24 Jan 2021.
Vancouver:
Alnabulsi B. LDPC-OFDM: Channel Estimation and Power considerations
. [Internet] [Thesis]. Queens University; 2013. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1974/7981.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Alnabulsi B. LDPC-OFDM: Channel Estimation and Power considerations
. [Thesis]. Queens University; 2013. Available from: http://hdl.handle.net/1974/7981
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University
10.
Xia, Tian.
Blind LDPC encoder identification.
Degree: MSEE, Electrical and Computer Engineering, 2013, Louisiana State University
URL: etd-11182013-115645
;
https://digitalcommons.lsu.edu/gradschool_theses/3323
► Nowadays, adaptive modulation and coding (AMC) techniques can facilitate flexible strategies subject to dynamic channel quality. The AMC transceivers select the most suitable coding and…
(more)
▼ Nowadays, adaptive modulation and coding (AMC) techniques can facilitate flexible strategies subject to dynamic channel quality. The AMC transceivers select the most suitable coding and modulation mechanisms subject to the acquired channel information. Meanwhile, a control channel or a preamble is usually required to synchronously coordinate such changes between transmitters and receivers. On the other hand, low-density parity-check (LDPC) codes become more and more popular in recent years due to their promising capacity-approaching property. The broad range of variations in code rates and codeword lengths for LDPC codes makes them ideal candidates for future AMC transceivers. The blind encoder identification problem emerges when the underlying control channel is absent or the preamble is not allowed in AMC systems. It would be quite intriguing for one to build a blind encoder identification technique without spectrum-efficiency sacrifice. Therefore, in this thesis, we investigate blind LDPC encoder identification for AMC systems. Specifically, we would like to tackle the blind identification of binary LDPC codes (encoders) for binary phase-shift keying (BPSK) signals and nonbinary LDPC codes for quadrature-amplitude modulation (QAM) signals. We propose a novel blind identification system which consists of three major components, namely expectation-maximization (EM) estimator for unknown parameters (signal amplitude, noise variance, and phase offset), log-likelihood ratio (LLR) estimator for syndrome a posteriori probabilities, and maximum average-LLR detector. Monte Carlo simulation results demonstrate that our proposed blind LDPC encoder identification scheme is very promising over different signal-to-noise ratio conditions.
Subjects/Keywords: LDPC codes; blind identification
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Xia, T. (2013). Blind LDPC encoder identification. (Masters Thesis). Louisiana State University. Retrieved from etd-11182013-115645 ; https://digitalcommons.lsu.edu/gradschool_theses/3323
Chicago Manual of Style (16th Edition):
Xia, Tian. “Blind LDPC encoder identification.” 2013. Masters Thesis, Louisiana State University. Accessed January 24, 2021.
etd-11182013-115645 ; https://digitalcommons.lsu.edu/gradschool_theses/3323.
MLA Handbook (7th Edition):
Xia, Tian. “Blind LDPC encoder identification.” 2013. Web. 24 Jan 2021.
Vancouver:
Xia T. Blind LDPC encoder identification. [Internet] [Masters thesis]. Louisiana State University; 2013. [cited 2021 Jan 24].
Available from: etd-11182013-115645 ; https://digitalcommons.lsu.edu/gradschool_theses/3323.
Council of Science Editors:
Xia T. Blind LDPC encoder identification. [Masters Thesis]. Louisiana State University; 2013. Available from: etd-11182013-115645 ; https://digitalcommons.lsu.edu/gradschool_theses/3323
11.
Cochachin Henostroza, Franklin Rafael.
Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision.
Degree: Docteur es, Télécommunications, 2019, Lorient
URL: http://www.theses.fr/2019LORIS527
► Dans cette thèse, deux décodeurs améliorés sont définis en utilisant un canal d’entrée quantifié avec seulement 3 ou 4 bits de précision pour les codes…
(more)
▼ Dans cette thèse, deux décodeurs améliorés sont définis en utilisant un canal d’entrée quantifié avec seulement 3 ou 4 bits de précision pour les codes low-density parity-check (LDPC). Un algorithme de post-traitement pour les décodeurs itératifs de faible précision est également proposé. L'un des décodeurs proposés, appelé décodeur Noise-Against-Noise Min-Sum (NAN- MS), intègre une certaine quantité de perturbations aléatoires dues à une injection délibérée de bruit. L'autre des décodeurs proposés, appelé décodeur Sign-Preserving Min-Sum (SP-MS), conserve toujours le signe des messages et utilise toutes les combinaisons possibles pouvant être générées pour une précision donnée. De plus, le décodeur SP-MS peut réduire la précision de ses messages d'un bit tout en maintenant les mêmes performances de correction d'erreur. Le décodeur NAN-MS et le décodeur SP-MS présentent un gain de SNR pouvant atteindre 0,43 dB dans la région du waterfall de la courbe de performances. D'autre part, l'algorithme de post- processing proposé est très efficace et facilement adaptable aux décodeurs de faible précision. Pour le code IEEE ETHERNET, l'algorithme de post-processing implémenté dans un décodeur SP- MS de très faible précision permet de réduire le niveau d'erreur au-dessous d'un FER de 10-10. Sur un ASIC en technologie 28nm, une architecture entièrement parallèle du décodeur peut être mis en place sur une surface de 1.76 mm2, avec un débit de décodage de 319.34 Gbit/s et une efficacité matérielle de 181.44 Gbit/s/mm2.
In this thesis, two improved decoders are defined using quantized input channel with only 3 or 4 bits of precision for low-density parity-check (LDPC) codes. Also, a post-processing algorithm for low precision iterative decoders is proposed. One of the proposed decoders, named Noise- Against-Noise Min-Sum (NAN-MS) decoder, incorporates a certain amount of random perturbation due to deliberate noise injection. The other of the proposed decoders, named Sign- Preserving Min-Sum (SP-MS) decoder, always preserve the sign of the messages and it uses all the possible combinations that can be generated for a given precision. Also, the SP-MS decoder can reduce the precision of its messages by one bit maintaining the same error correcting performance. The NAN-MS decoder and the SP-MS decoder present a SNR gain up to 0.43 dB the waterfall region of the performance curve. On the other hand, the proposed post-processing algorithm is very efficient and easily adaptable in low precision decoders. For the IEEE ETHERNET code, the post-processing algorithm implemented in a very low precision SP-MS decoder helps to lower the error floor below a FER of 10-10. On an ASIC of 28 nm of technology, the implementation results of a fully parallel architecture produces an area consumed by the decoder of 1.76 mm2, a decoding throughput of 319.34 Gbit/s, and a hardware efficiency of 181.44 Gbit/s/mm2.
Advisors/Committee Members: Boutillon, Emmanuel (thesis director), Declercq, David (thesis director), Kessal, Lounis (thesis director).
Subjects/Keywords: Correction d'erreur; Codes LDPC; Density Evolution; Error correction; LDPC codes; 621.382
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Cochachin Henostroza, F. R. (2019). Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision. (Doctoral Dissertation). Lorient. Retrieved from http://www.theses.fr/2019LORIS527
Chicago Manual of Style (16th Edition):
Cochachin Henostroza, Franklin Rafael. “Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision.” 2019. Doctoral Dissertation, Lorient. Accessed January 24, 2021.
http://www.theses.fr/2019LORIS527.
MLA Handbook (7th Edition):
Cochachin Henostroza, Franklin Rafael. “Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision.” 2019. Web. 24 Jan 2021.
Vancouver:
Cochachin Henostroza FR. Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision. [Internet] [Doctoral dissertation]. Lorient; 2019. [cited 2021 Jan 24].
Available from: http://www.theses.fr/2019LORIS527.
Council of Science Editors:
Cochachin Henostroza FR. Noise-against-Noise Decoders : Low Precision Iterative Decoders : Décodeur bruit contre bruit : Décodeurs itératifs de faible précision. [Doctoral Dissertation]. Lorient; 2019. Available from: http://www.theses.fr/2019LORIS527
12.
Bhutto, Tarique Inayat.
Root LDPC Codes for Non Ergodic Transmission Channels.
Degree: 2011, , School of Engineering
URL: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5938
► 4 ABSTRACT Tremendous amount of research has been conducted in modern coding theory in the past few years and much of the work has…
(more)
▼ 4 ABSTRACT Tremendous amount of research has been conducted in modern coding theory in the past few years and much of the work has been done in developing new coding techniques. Low density parity check (LDPC) codes are class of linear block error correcting codes which provide capacity performance on a large collection of data transmission and storage channels while Root LDPC codes in this thesis work are admitting implementable decoders with manageable complexity. Furthermore, work has been conducted to develop graphical methods to represent LDPC codes. This thesis implement one of the LDPC kind “Root LDPC code” using iterative method and calculate its threshold level for binary and non-binary Root LDPC code. This threshold value can serve as a starting point for further study on this topic. We use C++ as tool to simulate the code structure and parameters. The results show that non-binary Root LDPC code provides higher threshold value as compare to binary Root LDPC code.
postal address: Björnkullaringen 26, LGH 1029 14151 Huddinge Stockholm Sweden. Mobile: +46-720 490 967
Subjects/Keywords: Non-Binary Root LDPC codes; LDPC codes; Binary-Root LDPC codes; Signal Processing; Signalbehandling; Computer Sciences; Datavetenskap (datalogi); Telecommunications; Telekommunikation
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Bhutto, T. I. (2011). Root LDPC Codes for Non Ergodic Transmission Channels. (Thesis). , School of Engineering. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5938
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Bhutto, Tarique Inayat. “Root LDPC Codes for Non Ergodic Transmission Channels.” 2011. Thesis, , School of Engineering. Accessed January 24, 2021.
http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5938.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Bhutto, Tarique Inayat. “Root LDPC Codes for Non Ergodic Transmission Channels.” 2011. Web. 24 Jan 2021.
Vancouver:
Bhutto TI. Root LDPC Codes for Non Ergodic Transmission Channels. [Internet] [Thesis]. , School of Engineering; 2011. [cited 2021 Jan 24].
Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5938.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Bhutto TI. Root LDPC Codes for Non Ergodic Transmission Channels. [Thesis]. , School of Engineering; 2011. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5938
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
13.
尾澤, 章弘.
ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン.
Degree: Nara Institute of Science and Technology / 奈良先端科学技術大学院大学
URL: http://hdl.handle.net/10061/1211
Subjects/Keywords: LDPC符号
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
尾澤, . (n.d.). ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン. (Thesis). Nara Institute of Science and Technology / 奈良先端科学技術大学院大学. Retrieved from http://hdl.handle.net/10061/1211
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
尾澤, 章弘. “ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン.” Thesis, Nara Institute of Science and Technology / 奈良先端科学技術大学院大学. Accessed January 24, 2021.
http://hdl.handle.net/10061/1211.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
尾澤, 章弘. “ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン.” Web. 24 Jan 2021.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Vancouver:
尾澤 . ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン. [Internet] [Thesis]. Nara Institute of Science and Technology / 奈良先端科学技術大学院大学; [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10061/1211.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.
Council of Science Editors:
尾澤 . ギャップの大きなLDPC符号に対するRichardson符号化法の効率改善 : Improving the complexity of richardson's encoding algorithm for LDPC codes with large gap; ギャップ ノ オオキナ LDPC フゴウ ニ タイスル Richardson フゴウカ ホウ ノ コウリツ カイゼン. [Thesis]. Nara Institute of Science and Technology / 奈良先端科学技術大学院大学; Available from: http://hdl.handle.net/10061/1211
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.

UCLA
14.
Vakilinia, Kasra.
Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory.
Degree: Electrical Engineering, 2016, UCLA
URL: http://www.escholarship.org/uc/item/08f672rf
► This dissertation mainly focuses on two different branches of coding theory and its applications:1) coding to approach capacity in short blocklengths using feedback and 2)…
(more)
▼ This dissertation mainly focuses on two different branches of coding theory and its applications:1) coding to approach capacity in short blocklengths using feedback and 2) LDPC coding for Flash memory systems. In the first area, we study the benefits that feedback with incremental redundancy can provide to increase the maximum achievable rate in communication systems, using carefully designed adaptive non-binary LDPC codes. We show how to achieve over 90% of the idealized throughput of rate-compatible sphere-packing with maximum-likelihood decoding (RCSP-ML) for average blocklengths of 150-450 bits. This is important because it illustrates that feedback greatly reduces the number of transmitted symbols required to achieve near-capacity performance.We then extend these ideas to feedback systems where the number of incremental transmissions is limited. In order to optimize the blocklengths for each incremental transmission we formulate an integer optimization problem involving an approximation based on the inverse-Gaussian p.d.f., the distribution of the blocklength required for successful decoding. The brute-force approach to solve this computationally complex optimization problem quickly becomes infeasible. In order to solve this problem efficiently, we introduce sequential differential optimization (SDO) algorithm that has only linear complexity to identify optimal incremental transmission lengths. The results obtained from SDO are negligibly different from the exponentially complex exhaustive-search solution. By using the optimized incremental transmission lengths (with an average blocklength of less than 500 bits), non-binary LDPC codes achieve a throughput greater than 90% of the capacity with atwo-phase scheme. Furthermore, we extend these ideas to the case of using cyclic redundancy checks (CRC). With CRC, even better performance in the blocklength range of about 500 bits is obtainable. The overhead associated with a CRC prevents great performance in short blocklength regime (fewer than 400 bits). We also extend these ideas to systems with larger constellations operating at a higher signal-to-noise ratio (SNR).Another incremental transmission coding scheme studied in this dissertation focuses on de- sign and use of rate-compatible protograph-based raptor-like (PBRL) LDPC codes with various blocklengths and rates that can be used in feedback systems over additive-white Gaussian noise (AWGN) channels. The codes proposed in this work use X-OR operations and density evolution to produce additional degree-one parity bits providing extensive rate compatibility. The protographs are also carefully lifted to avoid undesirable graphical structures such as problematic stopping sets. For a target frame error rate of 10−5, at each rate the k = 1032 and k = 16384 code families perform within 1 dB and 0.4 dB, respectively, of both the Gallager bound and the normal approximation. The k = 16384 code family outperforms the best known standardized code family, the AR4JA and longer DVB-S2 codes.We extend the ideas in design of…
Subjects/Keywords: Electrical engineering; Feedback; Flash Memory; LDPC Coding
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Vakilinia, K. (2016). Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/08f672rf
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Vakilinia, Kasra. “Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory.” 2016. Thesis, UCLA. Accessed January 24, 2021.
http://www.escholarship.org/uc/item/08f672rf.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Vakilinia, Kasra. “Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory.” 2016. Web. 24 Jan 2021.
Vancouver:
Vakilinia K. Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory. [Internet] [Thesis]. UCLA; 2016. [cited 2021 Jan 24].
Available from: http://www.escholarship.org/uc/item/08f672rf.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Vakilinia K. Coding Schemes to Approach Capacity in Short Blocklength with Feedback and LDPC Coding for Flash Memory. [Thesis]. UCLA; 2016. Available from: http://www.escholarship.org/uc/item/08f672rf
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Alberta
15.
Zheng, Chao.
Design and Decoding LDPC Codes With Low Complexity.
Degree: MS, Department of Electrical and Computer
Engineering, 2012, University of Alberta
URL: https://era.library.ualberta.ca/files/2v23vt80m
► This thesis presents low complexity design and decoding schemes for low density parity check (LDPC) codes. First, we consider the iterative decoding of LDPC codes…
(more)
▼ This thesis presents low complexity design and
decoding schemes for low density parity check (LDPC) codes. First,
we consider the iterative decoding of LDPC codes on
multiple-input-multiple-output bit-interleaved coded modulation
(MIMO-BICM) channels and two-way relay channels. More specifically,
we study the log-likelihood ratio (LLR) calculation under MIMO-BICM
channels when perfect channel information is known and LLR
calculation for two-way relay channels when no channel information
is known at the receiver. We propose the optimum piece-wise linear
approximation in the sense of maximizing the achievable rate of the
channel. Second, we introduce a novel “universal” LDPC code design
method. We design universal LDPC codes based on our method and show
that, compared to existing methods, a lager percentage of capacity
is obtained. Then, we propose two conjectures about the extreme
distributions under min-sum decoding based on numerical
observations.
Subjects/Keywords: iterative decoding; universal codes; LLR; LDPC codes
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zheng, C. (2012). Design and Decoding LDPC Codes With Low Complexity. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/2v23vt80m
Chicago Manual of Style (16th Edition):
Zheng, Chao. “Design and Decoding LDPC Codes With Low Complexity.” 2012. Masters Thesis, University of Alberta. Accessed January 24, 2021.
https://era.library.ualberta.ca/files/2v23vt80m.
MLA Handbook (7th Edition):
Zheng, Chao. “Design and Decoding LDPC Codes With Low Complexity.” 2012. Web. 24 Jan 2021.
Vancouver:
Zheng C. Design and Decoding LDPC Codes With Low Complexity. [Internet] [Masters thesis]. University of Alberta; 2012. [cited 2021 Jan 24].
Available from: https://era.library.ualberta.ca/files/2v23vt80m.
Council of Science Editors:
Zheng C. Design and Decoding LDPC Codes With Low Complexity. [Masters Thesis]. University of Alberta; 2012. Available from: https://era.library.ualberta.ca/files/2v23vt80m

University of Alberta
16.
Maier, Andrew J.
Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications.
Degree: MS, Department of Electrical and Computer
Engineering, 2016, University of Alberta
URL: https://era.library.ualberta.ca/files/cjd472w72q
► Open Computing Language (OpenCL) is a high-level language that allows developers to produce portable software for heterogeneous parallel computing platforms. OpenCL is available for a…
(more)
▼ Open Computing Language (OpenCL) is a high-level
language that allows developers to produce portable software for
heterogeneous parallel computing platforms. OpenCL is available for
a variety of hardware platforms, with compiler support being
recently expanded to include Field-Programmable Gate Arrays
(FPGAs). This work investigates flexible OpenCL designs for the
iterative min-sum decoding algorithm for both symmetric and
asymmetric Low-Density Parity Check (LDPC) codes over a range of
codeword lengths. The computationally demanding LDPC decoding
algorithm offers several forms of parallelism that could be
exploited by the Altera-Offline-Compiler (AOC version 15.1) for
OpenCL. By starting with the recommended design approaches and
optimizing based on experimentation, the highest throughput
symmetric LDPC decoder produced a maximum corrected codeword
throughput of 68.22 Mbps for 32 decoding iterations at the
compiler-selected FPGA clock frequency of 163.88 MHz for a
length-2048 (3,6)-regular code. Designs for three of the DOCSIS 3.1
[7] standard asymmetric codewords were investigated and implemented
using the AOC. The designs prove that OpenCL on FPGAs can produce
high-throughput results for industry-sized asymmetric LDPC codes
with significantly shorter design time compared to other custom
hardware and software applications.
Subjects/Keywords: OpenCL; LDPC; FPGA; Heterogeneous Programming; Parallel Programming
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Maier, A. J. (2016). Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/cjd472w72q
Chicago Manual of Style (16th Edition):
Maier, Andrew J. “Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications.” 2016. Masters Thesis, University of Alberta. Accessed January 24, 2021.
https://era.library.ualberta.ca/files/cjd472w72q.
MLA Handbook (7th Edition):
Maier, Andrew J. “Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications.” 2016. Web. 24 Jan 2021.
Vancouver:
Maier AJ. Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications. [Internet] [Masters thesis]. University of Alberta; 2016. [cited 2021 Jan 24].
Available from: https://era.library.ualberta.ca/files/cjd472w72q.
Council of Science Editors:
Maier AJ. Design and Optimization of Decoders for Low-Denisty Parity
Check Codes Synthesized from the OpenCL Specifications. [Masters Thesis]. University of Alberta; 2016. Available from: https://era.library.ualberta.ca/files/cjd472w72q

University of Newcastle
17.
Brown, Raymond.
Design of low-density parity-check Codes for multiple-input multiple-output wireless systems.
Degree: LDPC, 2009, University of Newcastle
URL: http://hdl.handle.net/1959.13/41187
► Masters Research - Masters of Engineering
Mobile telephony, wireless networks and wireless telemetry systems have gone from simple single-input single-output wireless architectures with low data…
(more)
▼ Masters Research - Masters of Engineering
Mobile telephony, wireless networks and wireless telemetry systems have gone from simple single-input single-output wireless architectures with low data transmission rates to complex systems employing multiple antennas and forward error correction algorithms capable of high data transmission rates over wireless channels. Claude Shannon provided the fundamental capacity limits for a communications system and it can be shown that the capacity for a single-input single-output systems is limited in it’s capability to provide for modern wireless applications. The introduction of multiple-input multiple-output systems employing multiple antenna elements and orthogonal coding structures proved beneficial and could provide the capacities required for modern wireless applications. This thesis begins with an introduction and overview of space-time coding and the codes of Tarokh, Jafarkhani and Alamouti. Further, this thesis provides an introduction and overview to the family of forward error correction codes known as low-density parity-check (LDPC) codes. LDPC codes, when employed over Gaussian channels, provide near-Shannon limit performance and the question is posed as to their suitability for a wireless multiple-input multiple-output system employing multiple antennas and space-time coding. This question is answered by the use and demonstration of LDPC codes as outer codes to a MIMO system employing space-time block codes and a modified maximum-likelihood decoder. By modifying the space-time block-code decoder to provide a soft-information output, iterative decoders such as the sum-product algorithm can be employed to provide significant performance gains over a Rayleigh flat-fading channel. Further the use of design tools such as EXIT charts can then be used to design codes. The key to allowing the use of EXIT charts is the observation that a MIMO system employing orthogonal transmissions in a Rayleigh flat-fading channel is the equivalent to a SISO channel employing Nakagami-m fading coefficients. The seemingly complex MIMO system can now be analyzed in the form of a simpler SISO equivalent allowing the use of techniques such as EXIT charts to be employed in order to design codes with known and predictable performance haracteristics. This thesis demonstrates this technique and shows by example the performance gains that can be achieved for MIMO systems and opens some further questions for future research.
Advisors/Committee Members: University of Newcastle. Faculty of Engineering and Built Environment, School of Electrical Engineering and Computer Science.
Subjects/Keywords: MIMO; STBC; LDPC; EXIT Charts; FEC
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Brown, R. (2009). Design of low-density parity-check Codes for multiple-input multiple-output wireless systems. (Masters Thesis). University of Newcastle. Retrieved from http://hdl.handle.net/1959.13/41187
Chicago Manual of Style (16th Edition):
Brown, Raymond. “Design of low-density parity-check Codes for multiple-input multiple-output wireless systems.” 2009. Masters Thesis, University of Newcastle. Accessed January 24, 2021.
http://hdl.handle.net/1959.13/41187.
MLA Handbook (7th Edition):
Brown, Raymond. “Design of low-density parity-check Codes for multiple-input multiple-output wireless systems.” 2009. Web. 24 Jan 2021.
Vancouver:
Brown R. Design of low-density parity-check Codes for multiple-input multiple-output wireless systems. [Internet] [Masters thesis]. University of Newcastle; 2009. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1959.13/41187.
Council of Science Editors:
Brown R. Design of low-density parity-check Codes for multiple-input multiple-output wireless systems. [Masters Thesis]. University of Newcastle; 2009. Available from: http://hdl.handle.net/1959.13/41187

Universitat Politècnica de València
18.
Angarita Preciado, Fabián Enrique.
Diseño de decodificadores de altas prestaciones para código LDPC
.
Degree: 2013, Universitat Politècnica de València
URL: http://hdl.handle.net/10251/31646
► En esta tesis se han investigado los algoritmos de decodificación para códigos de comprobación de paridad de baja densidad (LDPC) y las arquitecturas para la…
(more)
▼ En esta tesis se han investigado los algoritmos de decodificación para códigos de comprobación de paridad de baja densidad (
LDPC) y las arquitecturas para la implementación hardware de éstos. El trabajo realizado se centra en los algoritmos del tipo de intercambio de mensajes para códigos estructurados los cuales se incluyen en varios estándares de comunicaciones.
Inicialmente se han evaluado las prestaciones de los algoritmos existentes Sum-product, Min-Sum y las principales variantes de este último (Min-Sum con escalado y Min-Sum con offset). Además, se ha realizado un análisis de precisión finita utilizando los códigos
LDPC de los estándares IEEE 802.3an, IEEE 802.11n e IEEE 802.16e. Posteriormente se han propuesto dos algoritmos basados en el algoritmo Min-Sum, denominados Min-Sum entero y Min-Sum modificado con corrección. La complejidad de éstos es menor que las de los algoritmos estudiados anteriormente y además permiten una implementación hardware eficiente. Por otra parte, se han estudiado diferentes métodos de actualización de los algoritmos de decodificación: por inundación, por capas horizontales (layered) y por capas verticales (shuffled), y se ha propuesto un nuevo método por capas verticales entrelazadas (x-shuffled) que consigue mejorar la tasa de decodificación.
Tras el estudio algorítmico, se han realizado implementaciones hardwar} con diferentes arquitecturas para los algoritmos y métodos de actualización evaluados y propuestos. En la mayoría de algoritmos implementados se requiere el cálculo de los dos primeros mínimos, por lo que inicialmente se realiza un estudio de las arquitecturas hardware para realizar este cálculo y se ha propuesto una nueva arquitectura de menor complejidad. En segundo lugar se ha realizado una comparación de las prestaciones hardware de los diferentes algoritmos con las arquitecturas de referencia: completamente paralela y parcialmente paralela basada en memorias. También se han propuesto dos arquitecturas enfocadas a la alta velocidad, la cuales se implementan con el algoritmo Sum-Product. La primera es una modificación de la arquitectura Sliced Message-Passing que consigue una reducción en el área de la implementación, y la segunda, es una arquitectura específica para el método de actualización propuesto x-shuffled que alcanza tasas de decodificación muy altas. Finalmente, se han implementado los algoritmos propuestos con la arquitectura layered obteniendo implementaciones hardware eficientes con baja área y muy alta tasa de decodificación. Estas últimas consiguen un ratio entre tasa de decodificación y área mejor que las implementaciones existentes en la literatura.
Por último, se ha evaluado el comportamiento de los algoritmos de decodificación estudiados en la zona de baja tasa de error, donde las prestaciones se suelen degradar debido a la aparición de un suelo de error. Para ello se ha implementado un simulador hardware usando dispositivos FPGA. La tasa de datos alcanzada con el simulador hardware diseñado es superior a la de otros simuladores documentados…
Advisors/Committee Members: Almenar Terré, Vicenç (advisor), Valls Coquillat, Javier (advisor).
Subjects/Keywords: Corrección de errores;
Decodificación;
Códigos LDPC;
VLSI
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Angarita Preciado, F. E. (2013). Diseño de decodificadores de altas prestaciones para código LDPC
. (Doctoral Dissertation). Universitat Politècnica de València. Retrieved from http://hdl.handle.net/10251/31646
Chicago Manual of Style (16th Edition):
Angarita Preciado, Fabián Enrique. “Diseño de decodificadores de altas prestaciones para código LDPC
.” 2013. Doctoral Dissertation, Universitat Politècnica de València. Accessed January 24, 2021.
http://hdl.handle.net/10251/31646.
MLA Handbook (7th Edition):
Angarita Preciado, Fabián Enrique. “Diseño de decodificadores de altas prestaciones para código LDPC
.” 2013. Web. 24 Jan 2021.
Vancouver:
Angarita Preciado FE. Diseño de decodificadores de altas prestaciones para código LDPC
. [Internet] [Doctoral dissertation]. Universitat Politècnica de València; 2013. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10251/31646.
Council of Science Editors:
Angarita Preciado FE. Diseño de decodificadores de altas prestaciones para código LDPC
. [Doctoral Dissertation]. Universitat Politècnica de València; 2013. Available from: http://hdl.handle.net/10251/31646

University of Notre Dame
19.
Masoome Otarinia.
Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>.
Degree: Electrical Engineering, 2019, University of Notre Dame
URL: https://curate.nd.edu/show/3j333200t9d
► Low density parity check (LDPC) codes are a class of error correction codes. A structured class of LDPC codes known as quasi cyclic LDPC…
(more)
▼ Low density parity check (
LDPC) codes are a
class of error correction codes. A structured class of
LDPC codes
known as quasi cyclic
LDPC (QC-
LDPC) codes have been selected for
the data channels of the new generation of cellular communication
standards known as 5G New Radio (NR).
LDPC codes are generally
decoded using iterative message passing algorithms that yield
performance that is close to capacity. Previous research has shown
that iterative decoders are vulnerable to certain combinatorial
objects in the code’s structure resulting in an error floor, a
typically abrupt change of slope in the frame error rate
performance curve. These substructures are called absorbing sets;
specifically, elementary absorbing sets are found to be
particularly impactful for structured
LDPC codes. The main focus of
this thesis is investigating the decoder performance curve of the
5G NR code and identifying the error prone elementary absorbing
sets that contribute to its error floor. In this thesis, we
introduce the 5G NR QC-
LDPC code and its characteristics; we talk
about the measures taken in the transmitter to improve the code’s
performance such as puncturing and shortening. We will see how
practical limitations such as finite precision (quantization) of
LLR values affects the performance in the error floor. We also
devise an algorithm to identify all the (elementary) absorbing sets
in the code.
Advisors/Committee Members: Thomas E. Fuja, Research Director.
Subjects/Keywords: error floor; LDPC; 5g new radio
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Otarinia, M. (2019). Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/3j333200t9d
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Otarinia, Masoome. “Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>.” 2019. Thesis, University of Notre Dame. Accessed January 24, 2021.
https://curate.nd.edu/show/3j333200t9d.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Otarinia, Masoome. “Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>.” 2019. Web. 24 Jan 2021.
Vancouver:
Otarinia M. Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>. [Internet] [Thesis]. University of Notre Dame; 2019. [cited 2021 Jan 24].
Available from: https://curate.nd.edu/show/3j333200t9d.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Otarinia M. Absorbing Sets and Error Floor Performance of the 5G New
Radio Code</h1>. [Thesis]. University of Notre Dame; 2019. Available from: https://curate.nd.edu/show/3j333200t9d
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Arizona
20.
Yang, Mingwei.
Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
.
Degree: 2019, University of Arizona
URL: http://hdl.handle.net/10150/634318
► Programmable optical transmission based on software-defined networking (SDN) is being considered as a promising solution for the fifth-generation (5G) cellular networks, data center networks, and…
(more)
▼ Programmable optical transmission based on software-defined networking (SDN) is being considered as a promising solution for the fifth-generation (5G) cellular networks, data center networks, and passive optical networks (PONs). In particular, the stringent capacity and latency requirements of the fronthaul segment call for innovations in the design of new architectures and transceivers that can adapt themselves to highly variable application traffic patterns and physical-layer conditions. We propose a software-defined pseudorandom sequence-based synchronization scheme, which enables us to in-band adapt the modulation type and code rate per connection. Based on this scheme, we further propose a cross-layer resource allocation framework for hybrid mobile fronthaul (MFH) networks that can support dynamic processing resource sharing and comprises both coherent detection (CD) and direct detection (DD) transceivers. We develop new modulation schemes to support simultaneous data delivery to both CD and DD terminals. Using theoretical analysis and two separate SDN-enabled downlink and uplink transmission testbeds, we demonstrate the advantages of adaptive transmission in MFH networks as well as the benefits of probabilistically shaped three-level pulse amplitude modulation (PAM-3) and five-point quadrature amplitude modulation (QAM-5) for multicast transmission in hybrid networking scenarios. As a step-forward towards the real-time implementation of proposed concepts, based on a high-speed FPGA, we design and implement a generic adaptive shortened and punctured irregular low-density parity check (
LDPC) code emulation system using layered-decoding with iterative scaled min-sum algorithm. We evaluate the hard-decision, soft-decision, and burst-error performance of the irregular
LDPC code that is under consideration for ITU’s 50G-PON standard and demonstrate high potential of properly designed irregular
LDPC coding for PON, data-center, and 5G+ applications.
Advisors/Committee Members: Djordjevic, Ivan B (advisor), Tharp, Hal S. (committeemember), Hariri, Salim (committeemember).
Subjects/Keywords: 5G;
Data Centers;
FPGA;
LDPC;
SDN
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yang, M. (2019). Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/634318
Chicago Manual of Style (16th Edition):
Yang, Mingwei. “Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
.” 2019. Doctoral Dissertation, University of Arizona. Accessed January 24, 2021.
http://hdl.handle.net/10150/634318.
MLA Handbook (7th Edition):
Yang, Mingwei. “Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
.” 2019. Web. 24 Jan 2021.
Vancouver:
Yang M. Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
. [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10150/634318.
Council of Science Editors:
Yang M. Software-Defined Networking-based Adaptive Resource Allocation in Optical Networks
. [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/634318

Georgia Tech
21.
Du, Jianxuan.
Layered Space-Time Structure for MIMO-OFDM Systems.
Degree: PhD, Electrical and Computer Engineering, 2005, Georgia Tech
URL: http://hdl.handle.net/1853/7204
► The low complexity of layered processing makes the layered structure a promising candidate for MIMO systems with a large number of transmit antennas and higher…
(more)
▼ The low complexity of layered processing makes the layered structure a promising candidate for MIMO systems with a large number of transmit antennas and higher order modulation. For broadband systems, orthogonal frequency division multiplexing (OFDM) appears promising for its immunity against delay spread. In addition, OFDM is especially suitable for frequency selective MIMO systems since the introduction of orthogonal subcarriers makes system design and implementation as simple as those for flat fading channels. Therefore, the combination of layered structure with OFDM is a promising technique for high-speed wireless data transmission.
The proposed research is focused on the layered structure for MIMO-OFDM systems, where several techniques are proposed for performance enhancement, namely, channel estimation based on subspace tracking, parallel detection of group-wise space-time codes by predictive soft interference cancellation, quasi-block diagonal low-density parity-check codes (
LDPC) coding and statistical data rate allocation for layered systems.
For MIMO-OFDM systems, rank reduction by some linear transform matrix is necessary for channel estimation. In the proposed research, we propose a channel estimation algorithm for MIMO-OFDM systems, which uses the optimum low-rank channel approximation obtained by tracking the frequency autocorrelation matrix of the channel response.
Then parallel detection algorithm is proposed for a modified layered system with group-wise space-time coding, where the structure of particular component space-time code trellises is exploited using partial information from the Viterbi decoder of the simultaneously decoded interfering component codes.
Next we incorporate the layered structure with
LDPC to develop a quasi-block diagonal
LDPC space-time structure. The lower triangular structure of the parity check matrix introduces correlation between layers. Each layer, as a part of the whole codeword, can be decoded while taking information from other undetected layers to improve the decoding performance.
In the end, a modified layered structure is proposed where the layer detection order is fixed and the data rate for each layer is allocated based on the detection order and channel statistics. With Gaussian approximation of layer capacities, we derive the optimum data rate allocation.
Advisors/Committee Members: Douglas Williams (Committee Chair), Doron Lubinsky (Committee Member), Greg Durgin (Committee Member), Mary Ann Ingram (Committee Member), Ye (Geoffrey) Li (Committee Member).
Subjects/Keywords: LDPC; OFDM; MIMO
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Du, J. (2005). Layered Space-Time Structure for MIMO-OFDM Systems. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/7204
Chicago Manual of Style (16th Edition):
Du, Jianxuan. “Layered Space-Time Structure for MIMO-OFDM Systems.” 2005. Doctoral Dissertation, Georgia Tech. Accessed January 24, 2021.
http://hdl.handle.net/1853/7204.
MLA Handbook (7th Edition):
Du, Jianxuan. “Layered Space-Time Structure for MIMO-OFDM Systems.” 2005. Web. 24 Jan 2021.
Vancouver:
Du J. Layered Space-Time Structure for MIMO-OFDM Systems. [Internet] [Doctoral dissertation]. Georgia Tech; 2005. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1853/7204.
Council of Science Editors:
Du J. Layered Space-Time Structure for MIMO-OFDM Systems. [Doctoral Dissertation]. Georgia Tech; 2005. Available from: http://hdl.handle.net/1853/7204

University of Edinburgh
22.
Khan, Zahid.
Optimization of advanced telecommunication algorithms from power and performance perspective.
Degree: PhD, 2011, University of Edinburgh
URL: http://hdl.handle.net/1842/5784
► This thesis investigates optimization of advanced telecommunication algorithms from power and performance perspectives. The algorithms chosen are MIMO and LDPC. MIMO is implemented in custom…
(more)
▼ This thesis investigates optimization of advanced telecommunication algorithms from power and performance perspectives. The algorithms chosen are MIMO and LDPC. MIMO is implemented in custom ASIC for power optimization and LDPC is implemented on dynamically reconfigurable fabric for both power and performance optimization. Both MIMO and LDPC are considered computational bottlenecks of current and future wireless standards such as IEEE 802.11n for Wi-Fi and IEEE 802.16 for WiMax applications. Optimization of these algorithms is carried out separately. The thesis is organized implicitly in two parts. The first part presents selection and analysis of the VBLAST receiver used in MIMO wireless system from custom ASIC perspective and identifies those processing elements that consume larger area as well as power due to complex signal processing. The thesis models a scalable VBLAST architecture based on MMSE nulling criteria assuming block rayleigh flat fading channel. After identifying the major area and power consuming blocks, it proposes low power and area efficient VLSI architectures for the three building blocks of VBLAST namely Pseudo Inverse, Sorting and NULLing & Cancellation modules assuming a 4x4 MIMO system. The thesis applies dynamic power management, algebraic transformation (strength reduction), resource sharing, clock gating, algorithmic modification, operation substitution, redundant arithmetic and bus encoding as the low power techniques applied at different levels of design abstraction ranging from system to architecture, to reduce power consumption. It also presents novel architectures not only for the constituent blocks but also for the whole receiver. It builds the low power VBLAST receiver for single carrier and provides its area, power and performance figures. It then investigates into the practicality and feasibility of VBLAST into an OFDM environment. It provides estimated data with respect to silicon real estate and throughput from which conclusion can easily be drawn about the feasibility of VBLAST in a multi carrier environment. The second part of the thesis presents novel architectures for the real time adaptive LDPC encoder and decoder as specified in IEEE 802.16E standard for WiMax application. It also presents optimizations of encoder as well as decoder on RICA (Reconfigurable Instruction Cell Architecture). It has searched an optimized way of storing the H matrices that reduces the memory by 20 times. It uses Loop unrolling to distribute the instructions spatially depending upon the available resources to execute them concurrently to as much as possible. The parallel memory banks and distributed registers inside RICA allow good reduction in memory access time. This together with hardware pipelining provides substantial potential for optimizing algorithms from power and performance perspectives. The thesis also suggests ways of improvements inside RICA architecture.
Subjects/Keywords: 621.382; MIMO; LDPC; low power; VBLAST
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Khan, Z. (2011). Optimization of advanced telecommunication algorithms from power and performance perspective. (Doctoral Dissertation). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/5784
Chicago Manual of Style (16th Edition):
Khan, Zahid. “Optimization of advanced telecommunication algorithms from power and performance perspective.” 2011. Doctoral Dissertation, University of Edinburgh. Accessed January 24, 2021.
http://hdl.handle.net/1842/5784.
MLA Handbook (7th Edition):
Khan, Zahid. “Optimization of advanced telecommunication algorithms from power and performance perspective.” 2011. Web. 24 Jan 2021.
Vancouver:
Khan Z. Optimization of advanced telecommunication algorithms from power and performance perspective. [Internet] [Doctoral dissertation]. University of Edinburgh; 2011. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/1842/5784.
Council of Science Editors:
Khan Z. Optimization of advanced telecommunication algorithms from power and performance perspective. [Doctoral Dissertation]. University of Edinburgh; 2011. Available from: http://hdl.handle.net/1842/5784

University of Texas – Austin
23.
Regulapati, Varsha.
Error correction codes in NAND flash memory.
Degree: MSin Engineering, Electrical and Computer engineering, 2015, University of Texas – Austin
URL: http://hdl.handle.net/2152/33302
► Error Correction Codes (ECC) are used in NAND Flash memories to detect and correct bit-errors. With shrinking technology nodes and increased memory complexity, bit error…
(more)
▼ Error Correction Codes (ECC) are used in NAND Flash memories to detect and correct bit-errors. With shrinking technology nodes and increased memory complexity, bit error rates continue to grow. With mainstream usage of MLC/TLC devices where 2 or 3 bits of data are stored in each Floating-Gate transistor, this issue has become even more critical, and to address this, strong ECC schemes are being implemented. ECC is a good way to recover the wrong value from the remaining good bits, and robust error correction codes ensure data integrity. This work discusses the operation of Floating-Gate transistors and NAND Flash memory. Various causes of bit-errors in these memories such as Read Disturb, repeated Program/Erase cycles and Program Disturb are presented. Analysis of various ECC schemes such as Hamming Codes, Bose, Chaudhuri, and Hocquenghem (BCH) codes and Reed-Solomon codes and their implementation in NAND Flash memory is examined. The encoding-decoding algorithms of these codes, as well as their performance and suitability for different types of Flash technology are discussed. Special emphasis is given to the discussion on Low Density Parity Codes (
LDPC), which is increasingly being used as an ECC mechanism in today’s NAND Flash devices.
Advisors/Committee Members: Touba, Nur A. (advisor), Swartzlander, Earl (committee member).
Subjects/Keywords: Error correction codes; NAND flash memory; LDPC
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Regulapati, V. (2015). Error correction codes in NAND flash memory. (Masters Thesis). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/33302
Chicago Manual of Style (16th Edition):
Regulapati, Varsha. “Error correction codes in NAND flash memory.” 2015. Masters Thesis, University of Texas – Austin. Accessed January 24, 2021.
http://hdl.handle.net/2152/33302.
MLA Handbook (7th Edition):
Regulapati, Varsha. “Error correction codes in NAND flash memory.” 2015. Web. 24 Jan 2021.
Vancouver:
Regulapati V. Error correction codes in NAND flash memory. [Internet] [Masters thesis]. University of Texas – Austin; 2015. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/2152/33302.
Council of Science Editors:
Regulapati V. Error correction codes in NAND flash memory. [Masters Thesis]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/33302
24.
Le Trung, Khoa.
Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping.
Degree: Docteur es, STIC - Cergy, 2017, Cergy-Pontoise
URL: http://www.theses.fr/2017CERG0902
► L’algorithme de basculement de bits à descente de gradient probabiliste (Probabilistic Gradient Descent Bit Flipping :PGDBF) est récemment introduit comme un nouveau type de décodeur…
(more)
▼ L’algorithme de basculement de bits à descente de gradient probabiliste (Probabilistic Gradient Descent Bit Flipping :PGDBF) est récemment introduit comme un nouveau type de décodeur de décision forte pour le code de contrôle de parité à faible densité (Low Density Parity Check :
LDPC) appliqué au canal symétrique binaire. En suivant précisément les étapes de décodage du décodeur déterministe Gradient Descent Bit-Flipping (GDBF), le PGDBF intègre en plus la perturbation aléatoire dans l'opération de basculement des Nœuds de Variables (VNs) et produit ainsi une performance de décodage exceptionnelle qui est meilleure que tous les décodeurs à basculement des bits (BF : Bit Flipping) connus dans la littérature, et qui approche les performances du décodeur de décision souple. Nous proposons dans cette thèse plusieurs implémentations matérielles du PGDBF, ainsi qu'une analyse théorique de sa capacité de correction d'erreurs. Avec une analyse de chaîne de Markov du décodeur, nous montrons qu’en raison de l'incorporation de la perturbation aléatoire dans le traitement des VNs, le PGDBF s'échappe des états de piégeage qui empêchent sa convergence. De plus, avec la nouvelle méthode d'analyse proposée, la performance du PGDBF peut être prédite et formulée par une équation de taux de trames erronées en fonction du nombre des itérations, pour un motif d'erreur donné. L'analyse fournit également des explications claires sur plusieurs phénomènes de PGDBF tels que le gain de re-décodage (ou de redémarrage) sur un motif d'erreur reçu. La problématique de l’implémentation matérielle du PGDBF est également abordée dans cette thèse. L’implémentation classique du décodeur PGDBF, dans laquelle un générateur de signal probabiliste est ajouté au-dessus du GDBF, est introduite avec une augmentation inévitable de la complexité du décodeur. Plusieurs procédés de génération de signaux probabilistes sont introduits pour minimiser le surcoût matériel du PGDBF. Ces méthodes sont motivées par l'analyse statistique qui révèle les caractéristiques critiques de la séquence aléatoire binaire requise pour obtenir une bonne performance de décodage et suggérer les directions possibles de simplification. Les résultats de synthèse montrent que le PGDBF déployé avec notre méthode de génération des signaux aléatoires n’a besoin qu’une très faible complexité supplémentaire par rapport au GDBF tout en gardant les mêmes performances qu’un décodeur PGDBF théorique. Une implémentation matérielle intéressante et particulière du PGDBF sur les codes
LDPC quasicyclique (QC-LPDC) est proposée dans la dernière partie de la thèse. En exploitant la structure du QCLPDC, une nouvelle architecture pour implémenter le PGDBF est proposée sous le nom d'architecture à décalage des Nœuds de Variables (VNSA : Variable-Node Shift Architecture). En implémentant le PGDBF par VNSA, nous montrons que la complexité matérielle du décodeur est même inférieure à celle du GDBF déterministe tout en préservant la performance de décodage aussi élevée que celle fournie par un PGDBF théorique.…
Advisors/Committee Members: Declercq, David (thesis director), Ghaffari, Fakhreddine (thesis director).
Subjects/Keywords: LDPC codec; Tolérants aux erreurs; Arithmétique imprécis; LDPC codec; Fault tolerant; Imprecise arithmetic
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Le Trung, K. (2017). Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping. (Doctoral Dissertation). Cergy-Pontoise. Retrieved from http://www.theses.fr/2017CERG0902
Chicago Manual of Style (16th Edition):
Le Trung, Khoa. “Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping.” 2017. Doctoral Dissertation, Cergy-Pontoise. Accessed January 24, 2021.
http://www.theses.fr/2017CERG0902.
MLA Handbook (7th Edition):
Le Trung, Khoa. “Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping.” 2017. Web. 24 Jan 2021.
Vancouver:
Le Trung K. Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping. [Internet] [Doctoral dissertation]. Cergy-Pontoise; 2017. [cited 2021 Jan 24].
Available from: http://www.theses.fr/2017CERG0902.
Council of Science Editors:
Le Trung K. Nouvelle approche pour une implémentation matérielle à faible complexité du décodeur PGDBF : New direction on Low complexity implementation of Probabilisitic Gradient Descent Bit Flipping. [Doctoral Dissertation]. Cergy-Pontoise; 2017. Available from: http://www.theses.fr/2017CERG0902
25.
Γκίκα, Ζαχαρούλα.
Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC.
Degree: 2012, University of Patras
URL: http://hdl.handle.net/10889/6037
► Σήμερα, σε όλα σχεδόν τα τηλεπικοινωνιακά συστήματα τα οποία προορίζονται για αποστολή δεδομένων σε υψηλούς ρυθμούς, έχουν υιοθετηθεί κώδικες διόρθωσης λαθών για την αύξηση της…
(more)
▼ Σήμερα, σε όλα σχεδόν τα τηλεπικοινωνιακά συστήματα τα οποία προορίζονται για αποστολή δεδομένων σε υψηλούς ρυθμούς, έχουν υιοθετηθεί κώδικες διόρθωσης λαθών για την αύξηση της αξιοπιστίας τους και τη μείωση της απαιτούμενης ισχύος εκπομπής τους. Οι κώδικες αυτοί δίνουν τη δυνατότητα ανίχνευσης και διόρθωσης των λαθών που μπορεί να δημιουργήσει το μέσο μετάδοσης (κανάλι) σε κάποιο τμήμα πληροφορίας που μεταφέρεται μέσω του τηλεπικοινωνιακού δικτύου. Μία κατηγορία τέτοιων κωδίκων, και μάλιστα με εξαιρετικές επιδόσεις, είναι η οικογένεια των
LDPC (Low Density Parity Check) κωδίκων. Πρόκειται για γραμμικούς μπλοκ κώδικες, με απόδοση πολύ κοντά στο όριο Shannon.
Στην παρούσα διπλωματική μελετώνται οι κώδικες
LDPC και σχετικές αρχιτεκτονικές υλικού. Oι κώδικες
LDPC χρησιμοποιούνται όλο και περισσότερο σε εφαρμογές που απαιτούν αξιόπιστη και υψηλής απόδοσης μετάδοση, υπό την παρουσία ισχυρού θορύβου. Η κατασκευή τους στηρίζεται στη χρήση πινάκων ελέγχου ισοτιμίας χαμηλής πυκνότητας, ενώ η αποκωδικοποίηση εκτελείται με τη χρήση επαναληπτικών αλγορίθμων. Σε υψηλά επίπεδα θορύβου παρουσιάζουν πολύ καλή διορθωτική ικανότητα, αλλά υστερούν σε χαμηλότερα επίπεδα θορύβου, όπου υποφέρουν από το φαινόμενο του error floor. Στη συγκεκριμένη εργασία μελετάται εκτενώς μία αλγεβρική μέθοδος για την κατασκευή regular
LDPC κωδίκων που βασίζεται σε κώδικες Reed-Solomon με δύο σύμβολα πληροφορίας. Η μέθοδος αυτή μας επιτρέπει την κατασκευή ενός πίνακα ελέγχου ισοτιμίας Η για τον κώδικα
LDPC, όπου το διάγραμμα Tanner που του αντιστοιχεί δεν περιέχει κύκλους μήκους 4 (ελάχιστο μήκος κύκλου 6). Οι κύκλοι μικρού μήκους στο διάγραμμα Tanner «εγκλωβίζουν» τον αποκωδικοποιητή σε καταστάσεις που δεν μπορεί να ανιχνεύσει και να διορθώσει τα λάθη που δημιουργήθηκαν στη μετάδοση. Έτσι χρησιμοποιώντας την παραπάνω μέθοδο μπορούμε να κατασκευάσουμε απλούς σε δομή κώδικες, που σε συνδυασμό με τους επαναληπτικούς αλγορίθμους αποκωδικοποίησης οδηγούν σε αποκωδικοποιητές με εξαιρετικές διορθωτικές ικανότητες και εμφάνιση error floor σε πολύ χαμηλές τιμές του BER. Ακόμα, αυτού του τύπου οι πίνακες ισοτιμίας επιβάλλουν μία συγκεκριμένη δομή για το γεννήτορα πίνακα G που χρησιμοποιείται για την κωδικοποίηση. Για το λόγο αυτό μελετάται επίσης ο τρόπος για να κατασκευάσουμε ένα συστηματικό πίνακα G, ο οποίος απλουστεύει κατά πολύ τη διαδικασία της κωδικοποίησης. Όλες οι παραπάνω διαδικασίες εφαρμόζονται για την κατασκευή του κώδικα (2048,1723) RS-
LDPC. Πρόκειται για έναν κώδικα ρυθμού 0,84 που χρησιμοποιείται από το πρότυπο 802.3an της IEEE για το 10GBASE-T Ethernet και παρουσιάζει ιδιαίτερο ενδιαφέρον λόγω των επιδόσεών του. Για τον κώδικα αυτό προτείνεται σχεδίαση για τον κωδικοποιητή και τον αποκωδικοποιητή καθώς και για όλα τα εξωτερικά κυκλώματα που απαιτούνται ώστε να δημιουργηθεί ένα ολοκληρωμένο σύστημα αποστολής, λήψης και διόρθωσης δεδομένων.
Έχοντας όλο το υπόβαθρο για την κατασκευή ενός RS-
LDPC συστήματος κωδικοποίησης-αποκωδικοποίησης, υλοποιήσαμε τη σχεδίαση του συστήματος σε κώδικα VHDL ενώ εκτελέστηκαν οι απαραίτητες εξομοιώσεις (Modelsim).…
Advisors/Committee Members: Παλιουράς, Βασίλειος, Gkika, Zacharoula, Μπίρμπας, Αλέξιος, Μπερμπερίδης, Κωνσταντίνος.
Subjects/Keywords: Κώδικες RS-LDPC; Διόρθωση λαθών; 621.382 1; RS-LDPC codes; Error correction
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Γκίκα, . (2012). Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC. (Masters Thesis). University of Patras. Retrieved from http://hdl.handle.net/10889/6037
Chicago Manual of Style (16th Edition):
Γκίκα, Ζαχαρούλα. “Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC.” 2012. Masters Thesis, University of Patras. Accessed January 24, 2021.
http://hdl.handle.net/10889/6037.
MLA Handbook (7th Edition):
Γκίκα, Ζαχαρούλα. “Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC.” 2012. Web. 24 Jan 2021.
Vancouver:
Γκίκα . Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC. [Internet] [Masters thesis]. University of Patras; 2012. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10889/6037.
Council of Science Editors:
Γκίκα . Διόρθωση λαθών με τη χρήση κωδίκων RS-LDPC. [Masters Thesis]. University of Patras; 2012. Available from: http://hdl.handle.net/10889/6037
26.
Planjery, Shiva Kumar.
Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances.
Degree: Docteur es, STIC (sciences et technologies de l'information et de la communication) - Cergy, 2012, Cergy-Pontoise; University of Arizona
URL: http://www.theses.fr/2012CERG0618
► Les codes Low-Density Parity-Check (LDPC) sont au coeur de larecherche des codes correcteurs d'erreurs en raison de leur excellenteperformance de décodage en utilisant un algorithme…
(more)
▼ Les codes Low-Density Parity-Check (
LDPC) sont au coeur de larecherche des codes correcteurs d'erreurs en raison de leur excellenteperformance de décodage en utilisant un algorithme de décodageitératif de type propagation de croyances (Belief Propagation - BP).Cet algorithme utilise la représentation graphique d'un code, ditgraphe de Tanner, et calcule les fonctions marginales sur le graphe.Même si l'inférence calculée n'est exacte que sur un graphe acyclique(arbre), l'algorithme BP estime de manière très proche les marginalessur les graphes cycliques, et les codes
LDPC peuvent asymptotiquementapprocher la capacité de Shannon avec cet algorithme.Cependant, sur des codes de longueurs finies dont la représentationgraphique contient des cycles, l'algorithme BP est sous-optimal etdonne lieu à l'apparition du phénomène dit de plancher d'erreur. Leplancher d'erreur se manifeste par la dégradation soudaine de la pentedu taux d'erreur dans la zone de fort rapport signal à bruit où lesstructures néfastes au décodage sont connues en termes de TrappingSets présents dans le graphe de Tanner du code, entraînant un échec dudécodage. De plus, les effets de la quantification introduite parl'implémentation en hardware de l'algorithme BP peuvent amplifier ceproblème de plancher d'erreur.Dans cette thèse nous introduisons un nouveau paradigme pour ledécodage itératif à précision finie des codes
LDPC sur le canalbinaire symétrique. Ces nouveaux décodeurs, appelés décodeursitératifs à alphabet fini (Finite Alphabet Iterative Decoders – FAID)pour préciser que les messages appartiennent à un alphabet fini, sontcapables de surpasser l'algorithme BP dans la région du plancherd'erreur. Les messages échangés par les FAID ne sont pas desprobabilités ou vraisemblances quantifiées, et les fonctions de miseà jour des noeuds de variable ne copient en rien le décodage par BP cequi contraste avec les décodeurs BP quantifiés traditionnels. Eneffet, les fonctions de mise à jour sont de simples tables de véritéconçues pour assurer une plus grande capacité de correction d'erreuren utilisant la connaissance de topologies potentiellement néfastes audécodage présentes dans un code donné. Nous montrons que sur demultiples codes ayant un poids colonne de trois, il existe des FAIDutilisant 3 bits de précision pouvant surpasser l'algorithme BP(implémenté en précision flottante) dans la zone de plancher d'erreursans aucun compromis dans la latence de décodage. C'est pourquoi lesFAID obtiennent des performances supérieures comparées au BP avecseulement une fraction de sa complexité.Par ailleurs, nous proposons dans cette thèse une décimation amélioréedes FAID pour les codes
LDPC dans le traitement de la mise à jour desnoeuds de variable. La décimation implique de fixer certains bits ducode à une valeur particulière pendant le décodage et peut réduire demanière significative le nombre d'itérations requises pour corriger uncertain nombre d'erreurs fixé tout en maintenant de bonnesperformances d'un FAID, le rendant plus à même d'être analysé. Nousillustrons cette…
Advisors/Committee Members: Declercq, David (thesis director), Vasic, Bane (thesis director).
Subjects/Keywords: Ldpc; Propagation de croyances; Trapping sets; Décodage itératif; Ldpc; Belief propagation; Trapping sets
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Planjery, S. K. (2012). Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances. (Doctoral Dissertation). Cergy-Pontoise; University of Arizona. Retrieved from http://www.theses.fr/2012CERG0618
Chicago Manual of Style (16th Edition):
Planjery, Shiva Kumar. “Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances.” 2012. Doctoral Dissertation, Cergy-Pontoise; University of Arizona. Accessed January 24, 2021.
http://www.theses.fr/2012CERG0618.
MLA Handbook (7th Edition):
Planjery, Shiva Kumar. “Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances.” 2012. Web. 24 Jan 2021.
Vancouver:
Planjery SK. Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances. [Internet] [Doctoral dissertation]. Cergy-Pontoise; University of Arizona; 2012. [cited 2021 Jan 24].
Available from: http://www.theses.fr/2012CERG0618.
Council of Science Editors:
Planjery SK. Iterative decoding beyond belief propagation for low-density parity-check codes : Décodage itératif pour les codes LDPC au-delà de la propagation de croyances. [Doctoral Dissertation]. Cergy-Pontoise; University of Arizona; 2012. Available from: http://www.theses.fr/2012CERG0618
27.
Ben Maad, Hassen.
Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application.
Degree: Docteur es, Génie informatique, automatique et traitement du signal, 2011, Reims
URL: http://www.theses.fr/2011REIMS023
► L’objectif de cette thèse est d’étudier le comportement des codes LDPC dans un environnement où l’interférence générée par un réseau n’est pas de nature gaussienne…
(more)
▼ L’objectif de cette thèse est d’étudier le comportement des codes LDPC dans un environnement où l’interférence générée par un réseau n’est pas de nature gaussienne mais présente un caractère impulsif. Un premier constat rapide montre que sans précaution, les performances de ces codes se dégradent très significativement. Nous étudions tout d’abord les différentes solutions possibles pour modéliser les bruits impulsifs. Dans le cas des interférences d’accès multiples qui apparaissent dans les réseaux ad hoc et les réseaux de capteurs, il nous semble approprié de choisir les distributions alpha-stables. Généralisation de la gaussienne, stables par convolution, elles peuvent être validées théoriquement dans plusieurs situations.Nous déterminons alors la capacité de l’environnement α-stable et montrons par une approche asymptotique que les codes LDPC dans cet environnement sont bons mais qu’une simple opération linéaire à l’entrée du décodeur ne permet pas d’obtenir de bonnes performances. Nous avons donc proposé différentes façons de calculer la vraisemblance en entrée du décodeur. L’approche optimale est très complexe à mettre en oeuvre. Nous avons étudié plusieurs approches différentes et en particulier le clipping dont nous avons cherché les paramètres optimaux.
The goal of this PhD is to study the performance of LDPC codes in an environment where interference, generated by the network, has not a Gaussian nature but presents an impulsive behavior.A rapid study shows that, if we do not take care, the codes’ performance significantly degrades.In a first step, we study different approaches for impulsive noise modeling. In the case of multiple access interference that disturb communications in ad hoc or sensor networks, the choice of alpha-stable distributions is appropriate. They generalize Gaussian distributions, are stable by convolution and can be theoretically justified in several contexts.We then determine the capacity if the α-stable environment and show using an asymptotic method that LDPC codes in such an environment are efficient but that a simple linear operation on the received samples at the decoder input does not allow to obtain the expected good performance. Consequently we propose several methods to obtain the likelihood ratio necessary at the decoder input. The optimal solution is highly complex to implement. We have studied several other approaches and especially the clipping for which we proposed several approaches to determine the optimal parameters.
Advisors/Committee Members: Gellé, Guillaume (thesis director).
Subjects/Keywords: Distributions alpha-stables; Codes LDPC; Bruit impulsif; Alpha-stable distributions; LDPC codes; Impulsive noise
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ben Maad, H. (2011). Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application. (Doctoral Dissertation). Reims. Retrieved from http://www.theses.fr/2011REIMS023
Chicago Manual of Style (16th Edition):
Ben Maad, Hassen. “Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application.” 2011. Doctoral Dissertation, Reims. Accessed January 24, 2021.
http://www.theses.fr/2011REIMS023.
MLA Handbook (7th Edition):
Ben Maad, Hassen. “Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application.” 2011. Web. 24 Jan 2021.
Vancouver:
Ben Maad H. Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application. [Internet] [Doctoral dissertation]. Reims; 2011. [cited 2021 Jan 24].
Available from: http://www.theses.fr/2011REIMS023.
Council of Science Editors:
Ben Maad H. Optimisation des stratégies de décodage des codes LDPC dans les environnements impulsifs : application aux réseaux de capteurs et ad hoc : LDPC strategy decoding optimization in impulsive environments : sensors and ad hoc networks application. [Doctoral Dissertation]. Reims; 2011. Available from: http://www.theses.fr/2011REIMS023
28.
Růžička Lukáš.
Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
.
Degree: 2014, Czech University of Technology
URL: http://hdl.handle.net/10467/24271
► Low-denstiy parity-check (LDPC, Řídké paritu kontrolující) kódy jsou v těchto dnech celkem populární. Mají dobrý výkon, který je blízko Shannovýmu limitu a mohou být s…
(more)
▼ Low-denstiy parity-check (
LDPC, Řídké paritu kontrolující) kódy jsou v těchto dnech celkem populární. Mají dobrý výkon, který je blízko Shannovýmu limitu a mohou být s výbornými vysledky využity v satelitní komunikaci. V této práci uvádíme základní nástroje pro práci s nimi. Hlavně ukazujeme způsob, jak generovat pseudo náhodné řidké kontrolní matice H, které definují kód. Dále popisujeme dvě metody algebraické tvorby matice H. V další částí je repeat-accumulate (RA)
LDPC kód, který jednodušeji kóduje zdrojová data na kódová slova. Zkoumali jsme také chyby opravující dekódování pro přenesené zprávy přes AWGN kanál, hlavně dekódování s Sum-product algoritmem (SPA), který je hlavně použit s informacemi v podobě log-likelihood ratio (LLR). Dále jsme také ukázali dvě metody pro analýzu kvalit kódů s Bit-error rate (BER) testem a Extrinsic information transfer (EXIT) grafem. V poslední části porovnáváme některé speciální případy kódů pro ukázání rozdílů pro různé parametry. Všechny metody jsou implementovány do MATLABových kódů.; Low-density parity-check (
LDPC) codes have become quite popular these days. They have good performance which is close to Shannon limits and can be used in satellite communication with excellent results. This thesis presents elementary tools for work with them. Mainly we show how to generate pseudo-random sparse parity-check matrix H, which define code. We also describe two methods to make algebraically constructed matrix H. Next there is repeat-accumulate (RA)
LDPC code which can encode source data to codeword more easily. Further we examine error-correcting decoding for transferred messages through AWGN channel especially with Sum-product algorithm (SPA), which is mainly used with log-likelihood ratio (LLR) information. Then we also present two methods for analyzing qualities of code with Bit-error rate (BER) test and Extrinsic information transfer (EXIT) charts. In the last part we compared some special cases of codes to show differences for various parameters. All methods are implemented in MATLAB codes.
Advisors/Committee Members: Sýkora Jan (advisor).
Subjects/Keywords: LDPC; řídké matice; pseudo náhodné matice; AWGN kanál; RA LDPC; SPA dekódování; BER; EXIT graf
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APA (6th Edition):
Lukáš, R. (2014). Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
. (Thesis). Czech University of Technology. Retrieved from http://hdl.handle.net/10467/24271
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Lukáš, Růžička. “Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
.” 2014. Thesis, Czech University of Technology. Accessed January 24, 2021.
http://hdl.handle.net/10467/24271.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lukáš, Růžička. “Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
.” 2014. Web. 24 Jan 2021.
Vancouver:
Lukáš R. Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
. [Internet] [Thesis]. Czech University of Technology; 2014. [cited 2021 Jan 24].
Available from: http://hdl.handle.net/10467/24271.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lukáš R. Návrhový systém pro implementaci a analýzu vlastností LDPC kódu
. [Thesis]. Czech University of Technology; 2014. Available from: http://hdl.handle.net/10467/24271
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Utah State University
29.
Tithi, Tasnuva Tarannum.
Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding.
Degree: PhD, Electrical and Computer Engineering, 2019, Utah State University
URL: https://digitalcommons.usu.edu/etd/7465
► In digital communication, information is sent as bits, which is corrupted by the noise present in wired/wireless medium known as the channel. The Low…
(more)
▼ In digital communication, information is sent as bits, which is corrupted by the noise present in wired/wireless medium known as the channel. The Low Density Parity Check (
LDPC) codes are a family of error correction codes used in communication systems to detect and correct erroneous data at the receiver. Data is encoded with error correction coding at the transmitter and decoded at the receiver. The Noisy Gradient Descent BitFlip (NGDBF) decoding algorithm is a new algorithm with excellent decoding performance with relatively low implementation requirements. This dissertation aims to characterize the performance of the NGDBF algorithm. A simple improvement over NGDBF called the Re-decoded NGDBF (R-NGDBF) is proposed to enhance the performance of NGDBF decoding algorithm. A general method to estimate the decoding parameters of NGDBF is presented. The estimated parameters are then verified in a hardware implementation of the decoder to validate the accuracy of the estimation technique.
Advisors/Committee Members: Chris Winstead, Jacob Gunther, Reyhan Baktur, ;.
Subjects/Keywords: LDPC code; Error Correction Code; Stochastic Decoding; LDPC Error Floors; Electrical and Computer Engineering
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Tithi, T. T. (2019). Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding. (Doctoral Dissertation). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/7465
Chicago Manual of Style (16th Edition):
Tithi, Tasnuva Tarannum. “Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding.” 2019. Doctoral Dissertation, Utah State University. Accessed January 24, 2021.
https://digitalcommons.usu.edu/etd/7465.
MLA Handbook (7th Edition):
Tithi, Tasnuva Tarannum. “Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding.” 2019. Web. 24 Jan 2021.
Vancouver:
Tithi TT. Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding. [Internet] [Doctoral dissertation]. Utah State University; 2019. [cited 2021 Jan 24].
Available from: https://digitalcommons.usu.edu/etd/7465.
Council of Science Editors:
Tithi TT. Error-Floors of the 802.3an LDPC Code for Noise Assisted Decoding. [Doctoral Dissertation]. Utah State University; 2019. Available from: https://digitalcommons.usu.edu/etd/7465
30.
Shams, Bilal.
Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes.
Degree: Docteur es, STIC (sciences et technologies de l'information et de la communication), 2010, Cergy-Pontoise
URL: http://www.theses.fr/2010CERG0525
► Dans cette thèse, nous présentons nos travaux dans le domaine de l'algorithme de décodage non-binaire pour les classes générales de codes LDPC non-binaires. Les Low-Density…
(more)
▼ Dans cette thèse, nous présentons nos travaux dans le domaine de l'algorithme de décodage non-binaire pour les classes générales de codes LDPC non-binaires. Les Low-Density Parity-Check (LDPC) codes ont été initialement présentés par Gallager en 1963, et après quelques avancées théoriques fondamentales, ils ont été pris en compte dans les normes comme le DVB-S2, WI-MAX, DSL, W-LAN etc. Plus tard, Les codes LDPC non-binaires (NB-LDPC) ont été proposés dans la littérature, et ont montré de meilleures performances lorsque la taille du code est petite ou lorsqu'il est utilisé sur des canaux non-binaires. Toutefois, les avantages de l'utilisation des codes LDPC non-binaires entrainent une complexité de décodage fortement accrue. Pour un code défini dans GF (q), la complexité est de l'ordre O(q2). De même, la mémoire nécessaire pour stocker les messages est d'ordre O(q). Par conséquent, l'implémentation d'un décodeur LDPC-définie sur un ordre q> 64 devient pratiquement impossible.L'objectif principal de la thèse est de développer des algorithmes a complexité réduite, pour les codes LDPC non-binaires qui démontrent un rendement excellent et qui soient implémentable. Pour optimiser les performances de décodage, non seulement l'algorithme de décodage est important, mais aussi la structure du code joue un rôle important. Avec cet objectif à l'esprit, une nouvelle famille de codes appelés codes cluster-NB-LDPC a été élaboré et des améliorations spécifiques du décodeur NB pour les codes de cluster-NB-LDPC ont été proposés. Notre principal résultat est que nous étions en mesure de proposer des décodeurs de codes cluster-NB-LDPC avec une complexité réduite par rapport à décodeurs d'habitude pour les codes LDPC-NB sur les corps de Galois, sans aucune perte de performance en matière de la capacité de correction d'erreur.
In this thesis we present our work in the domain of non-binary decoding algorithm for general classes of non-binary LDPC codes. Low-Density Parity-Check (LDPC) codes were originally presented by Gallager in 1963, and after some fundamental theoretical advancements, they were considered in standards like DVB-S2, WI-MAX, DSL, W-LAN etc. Later on, non-binary LDPC (NB-LDPC)codes were proposed in the litterature, and showed better performance for small lengths or when used on non-binary channels. However, the advantages of using NB-LDPC codes comes with the consequence of an heavily increased decoding complexity. For a code defined in GF(q), the complexity is of the order O(q2). Similarly, the memory required for storing messages is of order O(q). Consequently, the implementation of an LDPC-decoder defined over a field order q > 64 becomes practically impossible.The main objective of the thesis is to develop reduced complexity algorithms for non-binary LDPC codes that exhibit excellent performance and is practically im-plementable. For better decoding performance, not only the decoding algorithm is important, but also the structure of the code plays an important role. With this goal in mind, a new family of codes…
Advisors/Committee Members: Declercq, David (thesis director).
Subjects/Keywords: Codes LDPC non-binaires; Corps fini de Galois; Codes LDPC defini sur les groups fini; Cluster LDPC codes; Les algorithmes de decodage; Codes de correction des erreurs; Non-binary LDPC codes; Finite Galois gields; LDPC defined over finite groups; Cluster LDPC codes; Decoding algorithms; Error correcting codes
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Record Details
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shams, B. (2010). Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes. (Doctoral Dissertation). Cergy-Pontoise. Retrieved from http://www.theses.fr/2010CERG0525
Chicago Manual of Style (16th Edition):
Shams, Bilal. “Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes.” 2010. Doctoral Dissertation, Cergy-Pontoise. Accessed January 24, 2021.
http://www.theses.fr/2010CERG0525.
MLA Handbook (7th Edition):
Shams, Bilal. “Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes.” 2010. Web. 24 Jan 2021.
Vancouver:
Shams B. Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes. [Internet] [Doctoral dissertation]. Cergy-Pontoise; 2010. [cited 2021 Jan 24].
Available from: http://www.theses.fr/2010CERG0525.
Council of Science Editors:
Shams B. Les Codes LDPC non-binaires de nouvelle génération : Development of new generation non-binary LDPC error correcting codes. [Doctoral Dissertation]. Cergy-Pontoise; 2010. Available from: http://www.theses.fr/2010CERG0525
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