MATLAB Simulation of LDPC Codes

This MATLAB simulation program is designed to model LDPC (Low-Density Parity-Check) codes, providing a practical tool for understanding their implementation and performance characteristics. The simulation includes key components such as parity-check matrix generation using various construction methods (like Gallager or Mackay codes), belief propagation decoding algorithms, and performance evaluation metrics. Users can modify parameters including code length, rate, iteration count, and signal-to-noise ratio to analyze coding gain and error correction capabilities. The program implements both encoding and decoding processes, featuring functions for message passing decoding with log-likelihood ratios and BER (Bit Error Rate) calculations. Through multiple test runs and comparative analysis of simulation results, researchers can gain deeper insights into LDPC code behavior and optimize design parameters for specific applications. This simulation serves as an educational resource for mastering LDPC code implementation techniques and practical applications in communication systems.