Implementation of LDPC Codes in MATLAB

This project implements Low-Density Parity-Check (LDPC) code related functionalities in MATLAB. The implementation includes bit error rate (BER) simulation algorithms and programs for calculating graph girth (cycle length). These components were developed as part of a research assignment during my studies in Germany, where I conducted in-depth investigation into LDPC code implementation. The BER simulation employs Monte Carlo methods to evaluate code performance under different signal-to-noise ratio (SNR) conditions, utilizing MATLAB's communication toolbox functions for channel modeling and iterative decoding algorithms. The girth calculation program implements graph traversal algorithms to detect shortest cycles in Tanner graphs, using adjacency matrix representations and breadth-first search (BFS) techniques to optimize cycle detection efficiency. This research provides valuable insights into LDPC code performance characteristics and serves as a practical framework for understanding and applying LDPC codes in communication systems. The modular code structure allows for easy extension to different code parameters and channel models.