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LDPC Simulation Program for Error-Correcting Codes: Longer Code Lengths Yield Better Error Correction Performance - NASA's Deep Space Communication Encoding Standard with MATLAB Implementation Details
MATLAB program implementing Gallager's regular LDPC code construction method proposed in 1962, designed to generate corresponding LDPC parity-check matrices. The program accepts code length, column weight, and row weight as input parameters to produce specific matrices through systematic matrix generation algorithms including row-weight distribution and column constraint validation.
Implementation of SC decoding algorithm for polar codes supporting configurable signal-to-noise ratios and code lengths, with extensibility to SCL and CA-SCL algorithms. The core computational components are written in C for maximum efficiency, while the main framework utilizes MATLAB for flexible system integration, achieving significant acceleration in processing speed through hybrid programming architecture.