An Efficient Joint Source-Channel Decoder with Dynamical Block Priors

Details An Efficient Joint Source-Channel Decoder with Dynamical Block Priors An Efficient Joint Source-Channel Decoder with Dynamical Block Priors

2004-12-21

arxiv.org/abs/cond-mat/0412574v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, to appear in "Progress in Theoretical Physics Supplement", May 2005

Scientific paper

10.1143/PTPS.157.184

An efficient joint source-channel (s/c) decoder based on the side information of the source and on the MN-Gallager algorithm over Galois fields is presented. The dynamical block priors (DBP) are derived either from a statistical mechanical approach via calculation of the entropy for the correlated sequences, or from the Markovian transition matrix. The Markovian joint s/c decoder has many advantages over the statistical mechanical approach. In particular, there is no need for the construction and the diagonalization of a qXq matrix and for a solution to saddle point equations in q dimensions. Using parametric estimation, an efficient joint s/c decoder with the lack of side information is discussed. Besides the variant joint s/c decoders presented, we also show that the available sets of autocorrelations consist of a convex volume, and its structure can be found using the Simplex algorithm.

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