(7,4) Hamming Code: MATLAB Simulations for Hard-Decision, Maximum Likelihood, and Sum-Product Algorithm (SPA) Decoding

Resource Overview

Comprehensive MATLAB simulation program for (7,4) Hamming Code featuring three decoding methods: Hard-Decision Decoding, Maximum Likelihood Decoding, and Sum-Product Algorithm (SPA). Includes theoretical principles and complete MATLAB implementations provided in downloadable Word attachments for educational reference and practical implementation.

Detailed Documentation

This article presents three distinct decoding methodologies: Hard-Decision Decoding, Maximum Likelihood Decoding, and the Sum-Product Algorithm (SPA). We provide accompanying MATLAB simulation programs to facilitate deeper understanding of these decoding principles. The MATLAB implementations include key functions for encoding parity-check matrices, calculating syndrome patterns for hard-decision decoding, implementing log-likelihood ratio computations for maximum likelihood approaches, and message-passing iterations for SPA. These methods find extensive applications, particularly in (7,4) Hamming Code implementations where they demonstrate varying computational complexity and error-correction performance. The attached resources aim to support your learning and research endeavors by providing practical code examples that illustrate algorithm initialization, iteration processes, and termination conditions for each decoding technique.