LDPC Simulation Toolkit (Implemented in MATLAB)

This MATLAB-based LDPC simulation toolkit provides a complete framework for LDPC code analysis and experimentation. The package includes systematic methods for constructing parity-check matrices using both regular and irregular designs, with support for various construction algorithms like Gallager codes or progressive-edge growth (PEG) methods. The encoding module implements efficient generator matrix computation and supports both systematic and non-systematic encoding approaches. The decoding component features multiple algorithm implementations including sum-product algorithm (SPA), min-sum algorithm, and their simplified variants for performance-complexity tradeoffs. Using this toolkit, researchers can conveniently simulate LDPC code performance under different channel conditions and parameter settings. The parity-check matrix construction allows definition of customized LDPC codes with specific code rates and block lengths. The toolkit provides comprehensive analysis capabilities including bit error rate (BER) performance evaluation, convergence behavior tracking, and visualizations of decoding trajectories. This package offers a straightforward yet powerful platform for studying LDPC code characteristics, enabling users to analyze performance metrics, compare different decoding algorithms, and understand the fundamental principles of LDPC codes through hands-on simulation experiments. The modular design ensures easy integration of custom components while maintaining computational efficiency through optimized MATLAB implementations.