Statistical mechanical aspects of joint source-channel coding
Minerva Center and the Department of Physics, Bar-Ilan University
Ramat-Gan 52900, Israel
Accepted: 14 May 2003
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, , is extrapolated for infinite messages using the scaling relation for the median convergence time, ; 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.
PACS: 89.70.+c – Information theory and communication theory / 84.40.Ua – Telecommunications: signal transmission and processing; communication satellites
© EDP Sciences, 2003