Protograph-Based Low-Density Parity-Check Hadamard Codes

Understand

In this paper, we propose a new method to design low-density parity-check Hadamard (LDPC-Hadamard) codes, a type of ultimate-Shannon-limit approaching channel codes.

• The technique is based on applying Hadamard constraints to the check nodes in a generalized protograph-based LDPC code, followed by lifting the generalized protograph.
• We name the codes formed protograph-based LDPC Hadamard (PLDPC-Hadamard) codes.
• We also propose a modified Protograph Extrinsic Information Transfer (PEXIT) algorithm for analyzing and optimizing PLDPC-Hadamard code designs.