Construction Methods and Performance Evaluation of Regular LDPC Convolutional Codes

Abstract

In this paper, we present three construction methods of systematic regular LDPC-CCs based on randomly or algebraically structured sparse matrices. We provide an overview of LDPC-CCs and compares between Gallager’s, Mackay-Neal and Quasi-Cyclic (QC) construction methods, which are a good choice for many wireless applications due to their errors correction efficiency and low decoding complexity. At a rate-1/2, for the same size of the parity matrix to obtain the same encoding and decoding complexity, and using the Bit Flipping (BF) decoding algorithm over Additive White Gaussian Noise (AWGN) channel, we simulated the BER performance of a (3,6) regular LDPC convolutional codes, where the results showed that Gallager’s construction method (random) outperforms Mackay-Neal and QC ones.