Construction of Regular Quasi-Cyclic Protograph LDPC Codes Based on Vandermonde Matrices

In this paper, the authors investigate the attainable performance of Quasi-Cyclic (QC) protograph Low-Density Parity-Check (LDPC) codes for transmission over both Additive White Gaussian Noise (AWGN) and uncorrelated Rayleigh channels. The codes presented are constructed using the Vandermonde matrix and benefit from both low-complexity encoding and decoding, low memory requirements as well as hardware-friendly implementations. Their simulation results demonstrate that the advantages offered by this family of QC protograph LDPC codes accrue without any compromise in the attainable Bit Error Ratio (BER) and Block Error Ratio (BER) performance.