LDPC Code Decoding Simulation: Implementation and Performance Analysis

LDPC code decoding simulation formed the core of my graduation research, which I will now elaborate in detail. LDPC codes represent a powerful error-correction coding scheme with excellent performance characteristics, widely adopted in modern communication systems. In my project, I conducted comprehensive simulation studies on LDPC decoding algorithms, focusing on validating their practical performance in real-world applications. The research began with thorough investigation of LDPC code fundamentals, including their parity-check matrix structure and iterative decoding principles. I implemented the simulation framework using MATLAB, employing key functions like ldpcEncode() for encoding and ldpcDecode() for the decoding process. The simulation involved systematic parameter adjustments for code rates, iteration numbers, and signal-to-noise ratios, while utilizing belief propagation algorithms for message passing between variable and check nodes. Through extensive result analysis using MATLAB's BER tools and visualization functions, I derived significant conclusions regarding convergence behavior and error-correction thresholds. This research not only deepened my understanding of LDPC code mechanics but also provided practical references for their implementation in communication systems. I hope my graduation project offers valuable perspectives and methodological approaches for researchers in related fields.