Density evolution for joint source-channel asymmetric Slepian-Wolf coding with parity based approach

In this paper, iterative codeword-averaged density evolution (DE) formulas for low-density parity-check (LDPC) codes are developed for joint source-channel asymmetric Slepian-Wolf (ASW) coding of two correlated binary nonuniform memoryless sources with parity based approach. In order to be compatible with the parity based approach, a new ensemble definition of irregular codes being able to distinguish the degree distributions of the edges incident to information variable nodes and the edges incident to parity-checking variable nodes is introduced. Extensive simulations demonstrate the effectiveness of the proposed DE for joint source-channel ASW coding with parity based approach.