LDPC (Low-Density Parity-Check) Codes Encoding and Decoding

Low-Density Parity-Check (LDPC) codes represent an advanced encoding and decoding technology widely employed in communication systems and data storage applications. The MATLAB source code for LDPC encoding and decoding provides a comprehensive implementation of LDPC algorithms, featuring key functions for parity-check matrix generation, message-passing decoding, and iterative error correction. This implementation utilizes MATLAB's computational capabilities to simulate the complete LDPC encoding and decoding process, demonstrating excellent error correction performance for reliable data transmission and storage systems. The source code includes functionality for constructing sparse parity-check matrices, implementing belief propagation decoding algorithms, and performance evaluation through bit error rate analysis. In communication engineering and information science, this MATLAB implementation holds significant research value for algorithm optimization, performance analysis, and practical application development in modern error correction coding systems.