LDPC Check Matrix Generation, Gaussian Elimination Encoding, and Belief Propagation Decoding Program

Implementation of LDPC Codes: Matrix Construction, Encoding via Gaussian Elimination, and Decoding Using Belief Propagation Algorithm

LDPC Parity Check Matrix Generation, Gaussian Elimination Encoding, and Belief Propagation Decoding

This implementation provides MATLAB code for LDPC parity-check matrix generation, Gaussian elimination encoding, and belief propagation decoding algorithms. The program serves as a valuable reference for developing custom LDPC encoding/decoding systems. Although MATLAB's interpreted nature results in slower execution speed, the implementation successfully demonstrates core LDPC algorithms including sparse matrix construction and iterative message-passing decoding.