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University of Michigan

1. Nazari, Ali. Error Exponent for Discrete Memoryless Multiple-Access Channels.

Degree: PhD, Electrical Engineering: Systems, 2011, University of Michigan

This work addresses the problem of analyzing the best possible systems for communicating over a multiple-access channel (MAC) without feedback in the discrete memoryless setting. We consider the error exponents for this channel model and obtain upper and lower bounds on the channel reliability function. In particular, a unified framework to obtain all known upper and lower bounds on the reliability function of a point-to-point discrete memoryless channel is developed. By using a similar idea with a two-user discrete memoryless multiple-access channel, three lower bounds and two upper bounds on the reliability function are derived. To obtain upper bounds on the reliability function for DM-MACs, we formally characterize the typicality graph and look at some subgraph containment problems. Finally, a method to derive new bounds on the average/maximal error exponent by using known bounds on the maximal/average error exponent is obtained. Advisors/Committee Members: Anastasopoulos, Achilleas (committee member), Sadanandarao, Sandeep P. (committee member), Bayraktar, Erhan (committee member), Keppo, Jussi Samuli (committee member), Neuhoff, David L. (committee member).

Subjects/Keywords: Network Information Theory; Method of Types, Typical Sequences; Spehre Packing; Random Coding; Multiple-Access Channels; Error Exponent; Electrical Engineering; Engineering

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

APA (6th Edition):

Nazari, A. (2011). Error Exponent for Discrete Memoryless Multiple-Access Channels. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86432

Chicago Manual of Style (16th Edition):

Nazari, Ali. “Error Exponent for Discrete Memoryless Multiple-Access Channels.” 2011. Doctoral Dissertation, University of Michigan. Accessed November 26, 2020. http://hdl.handle.net/2027.42/86432.

MLA Handbook (7th Edition):

Nazari, Ali. “Error Exponent for Discrete Memoryless Multiple-Access Channels.” 2011. Web. 26 Nov 2020.

Vancouver:

Nazari A. Error Exponent for Discrete Memoryless Multiple-Access Channels. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Nov 26]. Available from: http://hdl.handle.net/2027.42/86432.

Council of Science Editors:

Nazari A. Error Exponent for Discrete Memoryless Multiple-Access Channels. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86432

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