Optimal Quantizer Design for Noisy Channels: An Approach to Combined Source-Channel Coding

Nariman Farvardin, Vinay Vaishampayan

Research output: Contribution to journalLetterpeer-review

209 Scopus citations

Abstract

We present an analysis of the zero-memory quantization of memoryless sources when the quantizer output is to be encoded and transmitted across a noisy channel. Necessary conditions for the joint optimization of the quantizer and the encoder/decoder pair are presented, and an iterative algorithm for obtaining a locally optimum system is developed. The performance of this locally optimal system, obtained for the class of generalized Gaussian distributions and the binary symmetric channel, is compared against the optimum performance theoretically attainable (using rate-distortion theoretic arguments), as well as against the performance of Lloyd-Max quantizers encoded using the natural binary code and the folded binary code. It is shown that this optimal design could result in substantial performance improvements. The performance improvements are more noticeable at high bit rates and for broad-tailed densities.

Original languageEnglish
Pages (from-to)827-838
Number of pages12
JournalIEEE Transactions on Information Theory
Volume33
Issue number6
DOIs
StatePublished - Nov 1987

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