Statistical mechanical aspects of joint source-channel coding

Details Statistical mechanical aspects of joint source-channel coding Statistical mechanical aspects of joint source-channel coding

2003-03-03

arxiv.org/abs/cond-mat/0303033v2

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1209/epl/i2003-00466-6

An MN-Gallager Code over Galois fields, $q$, based on the Dynamical Block Posterior probabilities (DBP) for messages with a given set of autocorrelations is presented with the following main results: (a) for a binary symmetric channel the threshold, $f_c$, is extrapolated for infinite messages using the scaling relation for the median convergence time, $t_{med} \propto 1/(f_c-f)$; (b) a degradation in the threshold is observed as the correlations are enhanced; (c) for a given set of autocorrelations the performance is enhanced as $q$ is increased; (d) the efficiency of the DBP joint source-channel coding is slightly better than the standard gzip compression method; (e) for a given entropy, the performance of the DBP algorithm is a function of the decay of the correlation function over large distances.

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