High-Speed Low-Density Parity-Check (LDPC) Codes with MATLAB Implementation

This MATLAB simulation program provides a high-speed implementation of Low-Density Parity-Check (LDPC) codes, designed for rapid parity-check code simulations with exceptional efficiency. The program employs optimized algorithms including iterative belief propagation decoding and sparse matrix operations to deliver superior performance. Key functions include: - LDPC matrix generation using Gallager construction or PEG algorithms - Efficient encoding through Gaussian elimination or back-substitution methods - Iterative decoding implementation with log-domain sum-product algorithm - BER/SER performance evaluation with customizable simulation parameters Through this program, users can gain deeper insights into LDPC code principles while achieving enhanced performance in practical applications. The simulation environment features an intuitive interface with clear visualization tools, enabling effortless experiment setup and result analysis. Whether for academic research or professional development, this toolkit serves as an invaluable resource for understanding parity-check code concepts and advancing communication system designs. The program's modular architecture supports customization and extension, making it suitable for both educational purposes and advanced research scenarios.