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

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.

Soft Decision Decoding vs. Hard Decision Decoding with Viterbi Algorithm

This study compares the performance of soft decision decoding (SDD) and hard decision decoding (HDD) when symbols propagate through an AWGN channel. The frame error rate (FER) decreases logarithmically as error frames reduce, demonstrating SDD's superiority over HDD which yields higher penalties. The implementation employs Viterbi decoding algorithm with branch metric calculations adapted for both hard and soft quantization schemes.