MATLAB-Based LDPC Simulation Implementation

In this project, we utilized MATLAB software to implement an LDPC (Low-Density Parity-Check) simulation system. LDPC codes represent a sophisticated error-correcting coding technique designed to detect and correct transmission errors in communication systems. Our implementation involved several key stages: We began with an in-depth study of LDPC encoding fundamentals and designed comprehensive encoding schemes. The MATLAB implementation featured key algorithmic components including parity-check matrix generation using sparse matrix techniques, message passing algorithms for iterative decoding, and belief propagation implementation for efficient error correction. The simulation framework incorporated multiple test scenarios with varying channel conditions (AWGN, Rayleigh fading) and transmission distances. We developed MATLAB functions for signal modulation/demodulation, noise injection models, and performance metrics calculation including Bit Error Rate (BER) and Frame Error Rate (FER) analysis. Through systematic simulation runs and result analysis, we derived significant conclusions regarding code performance under different operational conditions. The project yielded valuable insights for further optimization of encoding parameters and decoding algorithms, providing practical recommendations for enhancing LDPC code efficiency. This MATLAB-based LDPC simulation served as a crucial component in understanding coding theory principles and developing optimized communication system designs, demonstrating MATLAB's powerful capabilities in implementing complex coding algorithms and performance analysis.