(7,4) Hamming Code Hard Decision Decoding Algorithm with Performance Comparison

The performance comparison of hard decision decoding, maximum likelihood decoding, and sum-product decoding algorithms for (7,4) Hamming code (with MATLAB implementation code provided after the main document) constitutes highly valuable learning material. It offers comprehensive algorithm explanations and corresponding code implementations that help readers deeply understand the principles and performance characteristics of these decoding algorithms. The MATLAB implementation includes key functions for syndrome calculation, error pattern generation, and iterative decoding processes, allowing readers to examine the actual coding structure and algorithm flow. Additionally, the learning material provides detailed instructions for conducting experiments using MATLAB, enabling readers to enhance their understanding through hands-on practice. The code demonstrates practical implementation aspects such as parity-check matrix construction, likelihood ratio computation, and iterative decoding convergence. Both beginners and readers with some foundational knowledge can benefit significantly from this learning resource as it bridges theoretical concepts with practical implementation details.