Density evolution for the simultaneous decoding of LDPC-based slepian-wolf source codes

Abstract

This paper deals with the design and analysis of low-density parity-check (LDPC) codes for the Slepian-Wolf problem. The main contribution is a code design method based on a density evolution (DE) analysis for the cases where multiple LDPC codes are simultaneously decoded at the decoder. Good source codes are designed both for memoryless sources and sources with Markov memory. Further, simultaneous decoding is generalized to the case of source splitting, which allows non-corner points of the Slepian-Wolf region to be achieved even for sources with equiprobable marginal distributions