Soft Decoding Algorithm for LT Fountain Codes

This file presents a MATLAB implementation of the soft decoding algorithm for LT fountain codes and includes related research articles. In this documentation, we provide detailed explanations about LT fountain codes and their soft decoding algorithm. The MATLAB implementation includes key functions for encoding and decoding processes, featuring: - Degree distribution implementation using robust soliton distribution - Belief propagation-based soft decoding with log-likelihood ratio (LLR) processing - Matrix operations for efficient check node and variable node updates - Performance evaluation metrics including bit error rate (BER) analysis The accompanying research papers contain in-depth theoretical analysis, performance comparisons with hard decoding methods, and discussions on algorithm enhancements such as: - Adaptive degree distribution optimization - Complexity reduction techniques - Applications in erasure channels and wireless communications This resource offers valuable information and practical tools for researchers and engineers interested in LT fountain codes and soft decoding algorithms, facilitating both understanding and implementation of these advanced error correction techniques.