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University of Southern California
1.
Low, Tze-Ping.
Physical layer multicasting with opportunistic multicast
scheduling.
Degree: PhD, Electrical Engineering, 2011, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/621298/rec/5043
► Physical layer multicasting with optimized opportunistic scheduling is studied for cellular networks, where the problem of efficiently transmitting a common set of fountain-encoded data from…
(more)
▼ Physical layer multicasting with optimized
opportunistic scheduling is studied for cellular networks, where
the problem of efficiently transmitting a common set of
fountain-encoded data from a single base station to multiple users
over quasi-static fading channels is examined. The proposed
opportunistic multicast scheduling (OMS) scheme attempts to achieve
a better tradeoff between multiuser diversity and multicast gain by
transmitting to a subset of users in each time slot using the
maximal data rate that ensures successful decoding by these users.
The research work consists of three major parts. ❧ In the first
part, we consider OMS in the single-antenna downlink scenario. We
analyze the system delay in homogeneous networks by capitalizing on
extreme value theory and derive the optimal selection ratio ({\em
i.e.,} the portion of users selected in each time slot) that
minimizes the delay. Then, we extend results to heterogeneous
networks where users are subject to different channel statistics.
By partitioning users into multiple approximately homogeneous
rings, we turn a heterogeneous network into a composite of smaller
homogeneous networks and derive the optimal selection ratio for
heterogeneous networks. Computer simulations confirm theoretical
results and illustrate that the proposed OMS can achieve
significant performance gains in both homogeneous and heterogeneous
networks as compared with the conventional unicast and broadcast
scheduling. ❧ In the second part, we extend the results to the
multi-antenna downlink scenario where a multi-antenna base-station
transmits a common message to a set of users, each with a single
receive antenna. First, we propose the use of OMS for two of the
most popular conventional multi-antenna multicast solutions - the
spatial multiplexing and the transmit beamforming schemes.
Capitalizing on extreme value theory, we derive analytical
expressions for the average system throughput and utilize this
result to compute the optimal user selection ratio for both spatial
multiplexing and transmit beamforming scenarios. To improve upon
these conventional schemes furthermore, we propose an optimized
space-time transmission (OST) scheme, where an arbitrary number of
signal dimensions can be used and the statistics of the space-time
codeword can be chosen to maximize the rate of the worst user in
the selected group. An iterative user selection (IUS) algorithm is
also proposed to improve the multicast group selection in each time
slot. The proposed OST with IUS is a generalization of transmit
beamforming and spatial multiplexing and, thus, outperforms both
conventional schemes. ❧ In the third part, we investigate the use
of OMS for systems with multiple multicast groups. Here, we
consider a general downlink scenario where a single base-station
transmits independent data streams to multiple groups of users.
Within each group, the common information is transmitted, yet the
source information is independent between groups. To achieve this
goal, the use of OMS is extended to systems with multiple…
Advisors/Committee Members: Kuo, C.-C. Jay (Committee Chair), Mendel, Jerry M. (Committee Member), Molisch, Andreas F. (Committee Member), Dimakis, Alexandros G. (Committee Member), Proskurowski, Wlodek (Committee Member).
Subjects/Keywords: wireless multicast; opportunistic scheduling; physical layer multicasting; order statistics; extreme value theory
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APA (6th Edition):
Low, T. (2011). Physical layer multicasting with opportunistic multicast
scheduling. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/621298/rec/5043
Chicago Manual of Style (16th Edition):
Low, Tze-Ping. “Physical layer multicasting with opportunistic multicast
scheduling.” 2011. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/621298/rec/5043.
MLA Handbook (7th Edition):
Low, Tze-Ping. “Physical layer multicasting with opportunistic multicast
scheduling.” 2011. Web. 17 Apr 2021.
Vancouver:
Low T. Physical layer multicasting with opportunistic multicast
scheduling. [Internet] [Doctoral dissertation]. University of Southern California; 2011. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/621298/rec/5043.
Council of Science Editors:
Low T. Physical layer multicasting with opportunistic multicast
scheduling. [Doctoral Dissertation]. University of Southern California; 2011. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/621298/rec/5043

University of Southern California
2.
Chang, Yu-Hao.
Precoding techniques for efficient ultra-wideband (UWB)
communication systems.
Degree: PhD, Electrical Engineering, 2009, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/579415/rec/5164
► It is always desirable to have a cheap and low power mobile receiver in a wireless communication environment. As for the ultra-wideband (UWB) system, the…
(more)
▼ It is always desirable to have a cheap and low power
mobile receiver in a wireless communication environment. As for the
ultra-wideband (UWB) system, the complexity of channel equalization
could be high due to the long UWB channel impulse response. As a
result, the UWBreceiver design is not simple. However, the overhead
of UWB channel equalization could be shifted from the receiver to
the transmitter by the use of precoding so that a low cost receiver
is possible. Precoding techniques, such as time-reversal prefilter
(TRP) and the transmit minimum mean square error (Tx-MMSE)
prefilter, pre-equalize the transmit signal based on the current
channel information, which can be estimated and fed back to the
transmitter by the corresponding receiver. Since the UWB channel
contains a great number of multipath components, sending the
complete channel information to the transmitter demands a lot of
feedback channel capacity and is not practical.; In the first half
of this thesis, different UWB precoding techniques that requires
only partial knowledge about the current channel, for example,
reduced-rank UWB precoding and channel phase precoded UWB (CPP-UWB)
systems, are proposed to save the feedback overhead. As simulation
results suggest, these precoding schemes provide different
trade-offs between decoding performance and fed back information
quantity. Later, the performance degradation of both TRP and CPP
systems due to clock jitter is analyzed. It is shown that CPP is
not only simpler in design but also more robust than TRP against
timing jitter. Finally, CPP-Rake and CPP-MTA systems, which utilize
the Rake receiver and multiple transmit antennas, respectively, are
proposed to lower the decoding error of CPP-UWB systems as
well.
Advisors/Committee Members: Kuo, C.-C. Jay (Committee Chair), Proskurowski, Wlodek (Committee Member), Yu, Xiaoli (Committee Member).
Subjects/Keywords: precoding; ultra-wideband; UWB; time-reversal prefiltering; TRP; Pre-Rake
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chang, Y. (2009). Precoding techniques for efficient ultra-wideband (UWB)
communication systems. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/579415/rec/5164
Chicago Manual of Style (16th Edition):
Chang, Yu-Hao. “Precoding techniques for efficient ultra-wideband (UWB)
communication systems.” 2009. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/579415/rec/5164.
MLA Handbook (7th Edition):
Chang, Yu-Hao. “Precoding techniques for efficient ultra-wideband (UWB)
communication systems.” 2009. Web. 17 Apr 2021.
Vancouver:
Chang Y. Precoding techniques for efficient ultra-wideband (UWB)
communication systems. [Internet] [Doctoral dissertation]. University of Southern California; 2009. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/579415/rec/5164.
Council of Science Editors:
Chang Y. Precoding techniques for efficient ultra-wideband (UWB)
communication systems. [Doctoral Dissertation]. University of Southern California; 2009. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/579415/rec/5164

University of Southern California
3.
Chaudhari, Abhijit J.
Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging.
Degree: MS, Electrical Engineering, 2007, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772
► Hyperspectral Optical Bioluminescence Tomography (HOBT) yields fairly accurate 3D reconstructed source distributions in small animal studies. The diffusion equation models the light propagation in tissue…
(more)
▼ Hyperspectral Optical Bioluminescence Tomography
(HOBT) yields fairly accurate 3D reconstructed source distributions
in small animal studies. The diffusion equation models the light
propagation in tissue and can be solved by the finite element
method (FEM). For the assembly of the optical forward model,
methods for fast inversion of the FEM matrix are crucial. In this
thesis, we first evaluate sparse matrix reordering techniques and
their impact on the cost of computing a Cholesky factorization of
the FEM matrix. The Cholesky factorization is used further for two
purposes, (a) for solving the system of linear equations by forward
and back-substitution and (b) as a preconditioner to the
Preconditioned Conjugate Gradient (PCG) method. Results from the
methods presented here indicate a cost reduction of more than 100
times compared to existing methods.
Advisors/Committee Members: (Committee Chair), Proskurowski, Wlodek (Committee Member), Wang, Chunming (Committee Member), Sacker, Robert (Committee Member).
Subjects/Keywords: hyperspectral optical bioluminescence tomography; fast solvers
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chaudhari, A. J. (2007). Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging. (Masters Thesis). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772
Chicago Manual of Style (16th Edition):
Chaudhari, Abhijit J. “Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging.” 2007. Masters Thesis, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772.
MLA Handbook (7th Edition):
Chaudhari, Abhijit J. “Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging.” 2007. Web. 17 Apr 2021.
Vancouver:
Chaudhari AJ. Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging. [Internet] [Masters thesis]. University of Southern California; 2007. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772.
Council of Science Editors:
Chaudhari AJ. Fast solvers in hyperspectral optical bioluminescence
tomography for small animal imaging. [Masters Thesis]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772

University of Southern California
4.
Chaudhari, Abhijit J.
Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging.
Degree: PhD, Electrical engineering, 2007, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/158799/rec/3302
► For bioluminescence and fluorescence imaging studies in small animals, it is important to be able to accurately estimate the 3D distribution of a light-emitting source…
(more)
▼ For bioluminescence and fluorescence imaging studies
in small animals, it is important to be able to accurately estimate
the 3D distribution of a light-emitting source within the animal
volume in order to draw biological inferences about underlying
processes. The spectrum of light produced by an emission source
that escapes the subject varies with the depth of the source
because of the wavelength dependence of the optical properties of
tissue. Consequently, multispectral or hyperspectral data
acquisition should help in the 3D localization of deep sources. In
this thesis, we develop a framework for fully 3D bioluminescence
and fluorescent tomographic image acquisition and reconstruction
that exploits spectral information. Singular value analysis is used
both for data dimensionality reduction and to illustrate the
advantage of using hyperspectral rather than monochromatic or
achromatic data. Regularized tomographic reconstruction techniques
that use analytic or numerical solutions to the diffusion
approximation of photon transport through turbid media were
implemented and their properties were studied in phantom and animal
studies. A fixed arrangement of mirrors was used in conjunction
with a CCD camera of a bioluminescence imaging system (Xenogen
Corporation's IVIS200) for simultaneous acquisition of
multispectral imaging data over most of the surface of the animal.
Phantom studies conducted using this system demonstrate our ability
to accurately localize deep point-like sources and show that a
resolution of 1.5 to 2.2 mm for depths up to 6 mm can be achieved.
Phantom and simulation studies carried out using a fluorescence
imaging system (Cambridge Research Instrument's MAESTRO)
demonstrate that sources up to 6 mm depth can be reconstructed
using only a single view. For a mouse atlas geometry, we present a
method for reconstructing multiple fluorescent probes
simultaneously. We also show an in-vivo study of a mouse with a
brain tumor expressing firefly luciferase.; Our results indicate
good anatomical localization of the tumor when the 3D
bioluminescent image was co-registered with magnetic resonance
images. While Optical Bioluminescence Tomography (OBT) and Optical
Fluorescence Tomography (OFT) are limited to small animal imaging
at this stage, a feasibility study using OFT for breast tumor
detection in humans shows the potential use of these methods for
clinical in-vivo studies.
Advisors/Committee Members: (Committee Chair), Leahy, Richard M. (Committee Member), Darvas, Felix (Committee Member), Proskurowski, Wlodek (Committee Member).
Subjects/Keywords: hyperspectral; mutispectral; bioluminescence; fluorescence; tomography; small animal imaging
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chaudhari, A. J. (2007). Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/158799/rec/3302
Chicago Manual of Style (16th Edition):
Chaudhari, Abhijit J. “Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging.” 2007. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/158799/rec/3302.
MLA Handbook (7th Edition):
Chaudhari, Abhijit J. “Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging.” 2007. Web. 17 Apr 2021.
Vancouver:
Chaudhari AJ. Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging. [Internet] [Doctoral dissertation]. University of Southern California; 2007. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/158799/rec/3302.
Council of Science Editors:
Chaudhari AJ. Hyperspectral and multispectral optical bioluminescence and
fluorescence tomography in small animal imaging. [Doctoral Dissertation]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/158799/rec/3302

University of Southern California
5.
Kim, Kwangsu.
Robust real-time vision modules for a personal service robot
in a home visual sensor network.
Degree: PhD, Computer Science, 2007, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/586388/rec/5621
► The Intelligent Home, which integrates information, communication and sensing technologies with/for everyday objects, is emerging as a viable environment in industrialized countries. It offers the…
(more)
▼ The Intelligent Home, which integrates information,
communication and sensing technologies with/for everyday objects,
is emerging as a viable environment in industrialized countries. It
offers the promise to provide security for the population at large,
and possibly to assist members of an aging population. In the
intelligent home context, personal service robots are expected to
play an important role as interactive assistants, due to their
mobility and action ability which complement other sensing nodes in
the home network. As an interactive assistant, a personal service
robot must be endowed with visual perception abilities, such as
detection and identification of people in its vicinity, recognition
of people's actions or intentions.; We propose to frame the
problems in terms of distributed sensor network architecture with
fixed visual sensing nodes (wall-mounted cameras) and mobile
sensing/actuating nodes such as one (or more) personal service
robot. Each fixed node processes its video input stream to detect
and track people, and to perform some level of behavior analysis,
given the limited resolution. It may also communicate with the
robot, directing it to move to a specific area. The robot, in
addition to navigation, must process visual input from the on-board
camera(s) to also perform person detection and tracking, but at a
finer level, since it is closer to the person. In particular, it
shouldlocate a person's face, possibly identify the person, in
order to interact with humans in a social setting. Each sensor node
is connected to the intelligent home network, and performs its task
independently, according to the range of interaction and the object
of perception. Each fixed camera node on the wall detects and
tracks people in its field of view, and analyzes their behavior. It
may then trigger other sensor nodes, or communicate with the robot
for further sensing and closer analysis, by integrating multiple
sensing nodes in various levels, according to the range of
interaction, mobility, or required resolution. We also extend this
strategy to the fusion of different kinds of sensing, such as sound
and vision, as human robot interaction is multi-modal.; This fusion
strategy can provide robustness and efficiency, compared to the
traditional image level analysis from a single camera, through a
certain level of redundancy, as well as the cooperation among the
sensor nodes. We have obtained encouraging results with this
framework on a real robot in a realistic environment, such as
multiple, different types of sensor nodes in several different
places, changing illumination, and uninterrupted processing for
long period of time.
Advisors/Committee Members: Medioni, Gerard (Committee Chair), Govindan, Ramesh (Committee Member), Proskurowski, Wlodek (Committee Member).
Subjects/Keywords: robot vision; behavior recognition; vision sensor network
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kim, K. (2007). Robust real-time vision modules for a personal service robot
in a home visual sensor network. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/586388/rec/5621
Chicago Manual of Style (16th Edition):
Kim, Kwangsu. “Robust real-time vision modules for a personal service robot
in a home visual sensor network.” 2007. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/586388/rec/5621.
MLA Handbook (7th Edition):
Kim, Kwangsu. “Robust real-time vision modules for a personal service robot
in a home visual sensor network.” 2007. Web. 17 Apr 2021.
Vancouver:
Kim K. Robust real-time vision modules for a personal service robot
in a home visual sensor network. [Internet] [Doctoral dissertation]. University of Southern California; 2007. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/586388/rec/5621.
Council of Science Editors:
Kim K. Robust real-time vision modules for a personal service robot
in a home visual sensor network. [Doctoral Dissertation]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/586388/rec/5621

University of Southern California
6.
Han, Byungrin.
Nonlinear dynamics and nonlinear dynamical systems.
Degree: PhD, Mechanical Engineering, 2007, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/501795/rec/4449
► The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors…
(more)
▼ The concept of Dynamics exists everywhere in our
lives. As an integral component of daily reality, engineers and
scientists research, analyze, and observe the behaviors of dynamics
and dynamical systems and their application in our real world
activities. As a general rule, dynamical systems are characterized
by their nonlinear quality. By their very nature, such systems have
presented scientists with enormous difficulty in finding
unequivocal solutions to systems, and even when a solution is
possible, the path to finding one is extremely complicated.
Oftentimes, it has proven virtually impossible to find these
solutions. Given the inherent challenges in coming up with
solutions to systems, the research that we've focused on has
involved four separate but related areas.; In chapter 1 we will
present the new general explicit equations of motion for
constrained discrete dynamical systems. These systems are
characterized by having holonomic and/or non-holonomic constraints,
which satisfy D'Alembert's principle at each instant of time. These
new equations provide a new and simple method of handling of
constrained mechanical systems with the mass matrix that should not
be a symmetric and/or positive definite.; In chapter 2 we present a
simple and robust approach for tracking the motion of nonlinear
mechanical system by dynamically controlling it so that one flying
objects follows the motion of another flying object. Recent
development in analytical dynamics has led us to establish a set of
control forces to create such tracking between nonlinear dynamical
systems. By providing an example, the simplicity and efficiency of
the method are illustrated.; In chapter 3 we confirm the recursive
formulae for the determination of the generalized Moore-Penrose
M-inverse of a matrix. We will provide a verification of the
formulae using four MP M-properties.; In chapter 4, as part of an
application of dynamical systems in a real world setting, we
present an approach to understanding the dynamics of
terrorism.
Advisors/Committee Members: Udwadia, Firdaus E. (Committee Chair), Dravinski, Marijan (Committee Member), Proskurowski, Wlodek (Committee Member).
Subjects/Keywords: nonlinear dynamics; nonlinear dynamical systems; nonlinear control; tracking control; least square; terrorism
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Han, B. (2007). Nonlinear dynamics and nonlinear dynamical systems. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/501795/rec/4449
Chicago Manual of Style (16th Edition):
Han, Byungrin. “Nonlinear dynamics and nonlinear dynamical systems.” 2007. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/501795/rec/4449.
MLA Handbook (7th Edition):
Han, Byungrin. “Nonlinear dynamics and nonlinear dynamical systems.” 2007. Web. 17 Apr 2021.
Vancouver:
Han B. Nonlinear dynamics and nonlinear dynamical systems. [Internet] [Doctoral dissertation]. University of Southern California; 2007. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/501795/rec/4449.
Council of Science Editors:
Han B. Nonlinear dynamics and nonlinear dynamical systems. [Doctoral Dissertation]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/501795/rec/4449

University of Southern California
7.
Luo, Qing.
Computation of algebraic system from self-assembly.
Degree: PhD, Computer Science, 2007, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/596436/rec/1537
► We are interested in finding real positive solutions to posynomial systems of the form: [equation] with a_sj set R and pi_j, c_3 set R_>0. These…
(more)
▼ We are interested in finding real positive solutions
to posynomial systems of the form: [equation] with a_sj set R and
pi_j, c_3 set R_>0. These systems arise in the study of
algorithmic self-assembly. A positive solution of p=(p_1,...,p_m)
to such a system corresponds to an equilibrium of a reversible
self-assembly system. It has been proven that the real positive
solution to such a system is unique when the underlying polytope:
[equation] has a real positive point.; Existing methods can solve
some special cases of this system. The Iterative Proportional
Scaling (IPS) method, for instance, can solve the system with
constraints that all the elements in the last row of matrix A are 1
and that the elements in matrix A are nonnegative. Another method
called Improved Iterative Scaling (IIS) solves the system (1) with
all constraints relaxed except for the requirement that A be
nonnegative.; This thesis proposes a method to solve the system (1)
in full generality without constraints. The work starts with
exploring the geometric properties of these systems. Based on that,
we then extend IPS to find positive solutions to system (1).
Numerical analysis related to the computational problems, such as
global convergence, convergence rate, and sensitivity analysis, are
also discussed in this thesis.
Advisors/Committee Members: Huang, Ming-Deh A. (Committee Chair), Proskurowski, Wlodek (Committee Member), Kempe, David (Committee Member), Nakano, Aiichiro (Committee Member).
Subjects/Keywords: maximum entropy; iterative proportional scaling
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Luo, Q. (2007). Computation of algebraic system from self-assembly. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/596436/rec/1537
Chicago Manual of Style (16th Edition):
Luo, Qing. “Computation of algebraic system from self-assembly.” 2007. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/596436/rec/1537.
MLA Handbook (7th Edition):
Luo, Qing. “Computation of algebraic system from self-assembly.” 2007. Web. 17 Apr 2021.
Vancouver:
Luo Q. Computation of algebraic system from self-assembly. [Internet] [Doctoral dissertation]. University of Southern California; 2007. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/596436/rec/1537.
Council of Science Editors:
Luo Q. Computation of algebraic system from self-assembly. [Doctoral Dissertation]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/596436/rec/1537

University of Southern California
8.
Yu, Chih-Wei.
Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer.
Degree: PhD, Mechanical Engineering, 2008, University of Southern California
URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/93863/rec/5699
► Anti-plane strain and plane strain models for steady-state scattering of elastic waves by a rough scatterer embedded either in a full space or in a…
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▼ Anti-plane strain and plane strain models for
steady-state scattering of elastic waves by a rough scatterer
embedded either in a full space or in a half space is considered by
using a direct boundary integral equation method. Both cavity and
inclusion problems are investigated. The roughness of the scatterer
is assumed to be periodic with arbitrary amplitude and period.;
Detailed testing of the numerical results is presented. The motion
along the surface of the scatterer and the half-space surface is
evaluated for different corrugations, frequencies and impedance
contrasts of the materials. The importance of the scatterer
roughness upon the displacement field is clearly demonstrated.
Larger corrugation amplitudes, shorter corrugation periods and
higher frequencies may produce significant changes in the
displacement field when compared with the corresponding smooth
scatterer results. These effects strongly depend upon the
frequency, corrugation shape and/or the impedance contrast of the
materials.
Advisors/Committee Members: Dravinski, Marijan (Committee Chair), Flashner, Henryk (Committee Member), Sadhal, Satwindar S. (Committee Member), Proskurowski, Wlodek (Committee Member), Vashishta, Priya (Committee Member).
Subjects/Keywords: wave scattering; corrugated scatterer; plane harmonic wave
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APA (6th Edition):
Yu, C. (2008). Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/93863/rec/5699
Chicago Manual of Style (16th Edition):
Yu, Chih-Wei. “Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer.” 2008. Doctoral Dissertation, University of Southern California. Accessed April 17, 2021.
http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/93863/rec/5699.
MLA Handbook (7th Edition):
Yu, Chih-Wei. “Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer.” 2008. Web. 17 Apr 2021.
Vancouver:
Yu C. Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2021 Apr 17].
Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/93863/rec/5699.
Council of Science Editors:
Yu C. Scattering of a plane harmonic wave by a completely embedded
corrugated scatterer. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/93863/rec/5699
.