Non zero syndrome parallel concatenated gallager codes

Abstract

Parallel Concatenated Gallager Code (PCGC) is a class of concatenated error correcting codes designed to reduce the encoding and decoding complexity of long block length Low Density Parity Check (LDPC) codes. In this paper, we present a novel class of PCGC in which one constituent code satisfies zero syndrome criteria and the other one satisfies non-zero syndrome criteria. Simulation results show that proposed non-zero syndrome PCGC outperforms existing non-zero syndrome PCGC in terms of its bit error rate (BER) performance in Binary Symmetric Channel (BSC). We also show that proposed concatenation method gives better performance than dedicated LDPC of same frame length and code rate over BSC.