MATLAB Simulation Program for LDPC Code Performance Analysis

This MATLAB-based simulation program enables comprehensive analysis and evaluation of LDPC codes under BPSK modulation and AWGN channel conditions. The implementation typically involves generating LDPC parity-check matrices, encoding random data streams, applying BPSK modulation (mapping 0→+1 and 1→-1), and adding AWGN noise with controlled variance. The simulation framework allows researchers to study LDPC code behavior across various channel conditions by adjusting key parameters like code rate, block length, and signal-to-noise ratio (SNR). The core functionality includes implementing iterative decoding algorithms such as the sum-product algorithm or min-sum algorithm, which progressively refine probability estimates through message passing between variable and check nodes. The simulation tracks performance metrics like bit error rate (BER) and frame error rate (FER) versus Eb/N0, providing quantitative assessments of decoding accuracy and reliability. Furthermore, the program facilitates comparative analysis between theoretical performance bounds and practical implementation results, helping identify performance gaps and optimization opportunities. Researchers can extend the baseline code to investigate advanced techniques like irregular LDPC codes, optimized scheduling algorithms, or hybrid ARQ schemes. This simulation environment serves as a valuable reference for both academic research and practical communication system design, offering insights into LDPC code characteristics and their implementation trade-offs.