Source-Channel Matching for Sources with Memory

In this paper we analyze the probabilistic matching of sources with memory to channels with memory so that symbol-by-symbol code with memory without anticipation are optimal, with respect to an average distortion and excess distortion probability. We show achievability of such a symbolby- symbol code with memory without anticipation, and we show matching for the Binary Symmetric Markov source (BSMS(p)) over a first-order symmetric channel with a cost constraint.