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You searched for +publisher:"North Carolina State University" +contributor:("Bojko Bakalov, Committee Member"). Showing records 1 – 3 of 3 total matches.

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North Carolina State University

1. Li, Liping. Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments.

Degree: PhD, Electrical Engineering, 2009, North Carolina State University

Ultra-Wideband (UWB) systems promise high data rate and accurate localization capabilities for communications, imaging, sensor networks, and vehicular systems. The simple UWB receiver structure is especially attractive to applications which require low cost and low power consumption. However, the envisioned simple receiver designs are also fraught with challenges ranging from estimation of highly frequency-selective multipath channels to synchronization of received signals consisting of very narrow pulses. In this context, transmitted reference (TR) UWB systems have been proposed in the literature as one way to avoid computationally intensive channel estimation while still maintaining a relatively simple receiver structure. In this dissertation, we investigate the performance of TR UWB communication systems in multiple-access environments. We remove the commonly invoked assumption of perfect power control and include in our analysis an additional group of users which have power levels much higher than the desired user. The detrimental effects of high-power users are suppressed by chip discrimination in this dissertation. To yield a straightforward mapping between the number of equal-power users and the variance of the resulting MAI, we incorporate the power delay profile (PDP) of the channel in the analysis, which makes the theoretical analysis tractable. This analytical technique of using PDP is also applied to analyze the MAI in frequency-shifted reference (FSR) UWB systems.The near-far problem also arises for synchronization when high-power users are included in the network. In this dissertation, we propose and investigate a synchronization procedure which is near-far resistant. By exploiting the structure of interfering power levels, we devise an efficient suppression technique which only requires the knowledge of the spreading code of the desired user. Complexmatrix operations required by other techniques found in the CDMA literature are not required in our suppression process. We also propose a new dimension-based technique for the detection of the code phase based on the suppressed signal. Simulation results validate our proposed near-far resistant synchronization technique and the superior performance is shown when compared to the current literature. Advisors/Committee Members: Keith Townsend, Committee Chair (advisor), Bojko Bakalov, Committee Member (advisor), Brian Hughes, Committee Co-Chair (advisor), Huaiyu Dai, Committee Member (advisor), Robert Ulman, Committee Member (advisor).

Subjects/Keywords: synchroniation; ultra-wideband; multiple-access interference; near-far problem

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APA (6th Edition):

Li, L. (2009). Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/3434

Chicago Manual of Style (16th Edition):

Li, Liping. “Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments.” 2009. Doctoral Dissertation, North Carolina State University. Accessed September 21, 2020. http://www.lib.ncsu.edu/resolver/1840.16/3434.

MLA Handbook (7th Edition):

Li, Liping. “Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments.” 2009. Web. 21 Sep 2020.

Vancouver:

Li L. Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments. [Internet] [Doctoral dissertation]. North Carolina State University; 2009. [cited 2020 Sep 21]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/3434.

Council of Science Editors:

Li L. Near-Far Resistant Ultra-Wideband Communications in Multiple-Access Environments. [Doctoral Dissertation]. North Carolina State University; 2009. Available from: http://www.lib.ncsu.edu/resolver/1840.16/3434


North Carolina State University

2. Ovchinnikov, Alexey. Tannakian Categories and Linear Differential Algebraic Groups.

Degree: PhD, Mathematics, 2007, North Carolina State University

Tannaka's Theorem states that a linear algebraic group G is determined by the category of finite dimensional G-modules and the forgetful functor. We extend this result to linear differential algebraic groups by introducing a category corresponding to their representations and show how this category determines such a group. We also provide conditions for a category with a fiber functor to be equivalent to the category of representations of a linear differential algebraic group. This generalizes the notion of a neutral Tannakian category used to characterize the category of representations of a linear algebraic group. Advisors/Committee Members: Irina Kogan, Committee Member (advisor), Bojko Bakalov, Committee Member (advisor), Kailash Misra, Committee Member (advisor), Michael Singer, Committee Chair (advisor).

Subjects/Keywords: Galois theory of differential equations; differential algebraic groups; tannakian categories

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Ovchinnikov, A. (2007). Tannakian Categories and Linear Differential Algebraic Groups. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4801

Chicago Manual of Style (16th Edition):

Ovchinnikov, Alexey. “Tannakian Categories and Linear Differential Algebraic Groups.” 2007. Doctoral Dissertation, North Carolina State University. Accessed September 21, 2020. http://www.lib.ncsu.edu/resolver/1840.16/4801.

MLA Handbook (7th Edition):

Ovchinnikov, Alexey. “Tannakian Categories and Linear Differential Algebraic Groups.” 2007. Web. 21 Sep 2020.

Vancouver:

Ovchinnikov A. Tannakian Categories and Linear Differential Algebraic Groups. [Internet] [Doctoral dissertation]. North Carolina State University; 2007. [cited 2020 Sep 21]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4801.

Council of Science Editors:

Ovchinnikov A. Tannakian Categories and Linear Differential Algebraic Groups. [Doctoral Dissertation]. North Carolina State University; 2007. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4801


North Carolina State University

3. Cook, William Jeffrey. Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.

Degree: PhD, Mathematics, 2005, North Carolina State University

Affine Lie algebra representations have many connections with different areas of mathematics and physics. One such connection in mathematics is with number theory and in particular combinatorial identities. In this thesis, we study affine Lie algebra representation theory and obtain new families of combinatorial identities of Rogers-Ramanujan type. It is well known that when ilde[g] is an untwisted affine Lie algebra and k is a positive integer, the integrable highest weight ilde[g]-module L(k Lambda0) has the structure of a vertex operator algebra. Using this structure, we will obtain recurrence relations for the characters of all integrable highest-weight modules of ilde[g]. In the case when ilde[g] is of (ADE)-type and k=1, we solve the recurrence relations and obtain the full characters of the adjoint module L(Lambda0). Then, taking the principal specialization, we obtain new families of multisum identities of Rogers-Ramanujan type. Advisors/Committee Members: Haisheng Li, Committee Co-Chair (advisor), Bojko Bakalov, Committee Member (advisor), Jon Doyle, Committee Member (advisor), Kailash C. Misra, Committee Chair (advisor).

Subjects/Keywords: rogers-ramanujan combinartorial identities; affine lie algebras; vertex operator algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Cook, W. J. (2005). Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4972

Chicago Manual of Style (16th Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Doctoral Dissertation, North Carolina State University. Accessed September 21, 2020. http://www.lib.ncsu.edu/resolver/1840.16/4972.

MLA Handbook (7th Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Web. 21 Sep 2020.

Vancouver:

Cook WJ. Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. [Internet] [Doctoral dissertation]. North Carolina State University; 2005. [cited 2020 Sep 21]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4972.

Council of Science Editors:

Cook WJ. Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. [Doctoral Dissertation]. North Carolina State University; 2005. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4972

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