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Fleming, Michael (2004-05-10) On source coding for networks. http://resolver.caltech.edu/CaltechETD:etd-05282004-170744


Type of Document Dissertation
Author Fleming, Michael
Author's Email Address mike AT z.caltech.edu
URN etd-05282004-170744
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-05282004-170744
Title On source coding for networks
Degree PhD
Option Electrical Engineering
Advisory Committee
Advisor Name Title
Michelle Effros Committee Chair
Babak Hassibi Committee Member
Jehoshua Bruck Committee Member
Robert McEliece Committee Member
Steven Low Committee Member
Keywords
  • side information
  • broadcast
  • feedback
  • multiterminal
  • multiple access
  • vector quantization
Date of Defense 2004-05-10
Availability unrestricted
Abstract
In this thesis, I examine both applied and theoretical issues in network source coding.

The applied results focus on the construction of locally rate-distortion-optimal vector quantizers for networks. I extend an existing vector quantizer design algorithm for arbitrary network topologies [1] to allow for the use of side information at the decoder and for the presence of channel errors. I show how to implement the algorithm and use it to design codes for several different systems. The implementation treats both fixed-rate and variable-rate quantizer design and includes a discussion of convergence and complexity. Experimental results for several different systems demonstrate in practice some of the potential performance benefits (in terms of rate, distortion, and functionality) of incorporating a network's topology into the design of its data compression system.

The theoretical work covers several topics. Firstly, for a system with some side information known at both the encoder and the decoder, and some known only at the decoder, I derive the rate-distortion function and evaluate it for binary symmetric and Gaussian sources. I then apply the results for binary sources in evaluating the binary symmetric rate-distortion function for a system where the presence of side information at the decoder is unreliable. Previously, only upper and lower bounds were known for that problem. Secondly, I address with an example the question of whether feedback from a decoder to an encoder ever enlarges the achievable rate region for lossless network source coding of memoryless sources. Thirdly, I show how cutset methods can yield quick and simple rate-distortion converses for any source coding network. Finally, I present rate-distortion results for two different broadcast source coding systems.

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