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arXiv · 1010.1286

Exact Hamming Distortion Analysis of Viterbi Encoded Trellis Coded Quantizers

John Kieffer·Yu Liao
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Abstract

Let G be a finite strongly connected aperiodic directed graph in which each edge carries a label from a finite alphabet A. Then G induces a trellis coded quantizer for encoding an alphabet A memoryless source. A source sequence of long finite length is encoded by finding a path in G of that length whose sequence of labels is closest in Hamming distance to the source sequence; finding the minimum distance path is a dynamic programming problem that is solved using the Viterbi algorithm. We show how a Markov chain can be used to obtain a closed form expression for the asymptotic expected Hamming distortion per sample that results as the number of encoded source samples increases without bound.

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John Kieffer, Yu Liao. 2010-10-06. Exact Hamming Distortion Analysis of Viterbi Encoded Trellis Coded Quantizers. https://arxiv.org/abs/1010.1286

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