Design of Punctured LDPC Codes for Rate-Compatible Asymmetric Slepian-Wolf Coding

Abstract

This paper considers designing punctured Low-Density Parity-Check (LDPC) codes for rate-compatible asymmetric Slepian-Wolf (SW) coding of correlated binary memoryless sources. A virtual non-uniform channel is employed to model the rate-compatible asymmetric SW coding based on the puncture approach, and then the degree distributions of LDPC codes are exclusively optimized for the smallest and the largest puncture ratios. Punctured extended Irregular Repeat-Accumulated (eIRA) codes are introduced and designed as an example to demonstrate the validation of the proposed design method. Simulation results show that the coding efficiency of the designed eIRA codes is better than all other reported results.