Implementation of (7,4) Hamming Code Encoding Using MATLAB

In this documentation, we will implement (7,4) Hamming code encoding using MATLAB and successfully accomplish error correction and decoding tasks. This implementation involves creating a systematic code where 4 data bits are encoded into 7-bit codewords with 3 parity bits for error detection and correction. The implementation includes key functions for: - Generator matrix construction using standard Hamming code parameters - Encoding algorithm that multiplies data vectors by the generator matrix - Parity-check matrix implementation for syndrome calculation - Error detection and correction logic based on syndrome patterns - Decoding functions to recover original data from corrected codewords This coding scheme is immediately usable without requiring additional operations. Through this implementation, we can ensure that errors occurring during transmission can be promptly corrected, and the original data can be accurately recovered. The solution provides an efficient and reliable data transmission mechanism that handles single-bit errors effectively using Hamming distance properties.