MATLAB Implementation of Channel Coding Simulation with BER Comparison

This MATLAB implementation provides comprehensive channel coding simulation capabilities for three major coding schemes: convolutional codes, Hamming codes, and cyclic codes, with detailed bit error rate (BER) performance comparison. The simulation framework supports various channel models including Gaussian channels, Rayleigh fading channels, and multipath channels, implemented through MATLAB's communication toolbox functions like awgn for additive white Gaussian noise and rayleighchan for fading channel modeling. For code implementation, convolutional coding can be implemented using the poly2trellis function to define the trellis structure, followed by convenc for encoding and vitdec for Viterbi decoding. Hamming codes utilize the hammgen function for generator matrix creation and encode/decode operations. Cyclic codes employ cyclpoly for polynomial generation and cyclic encoder/decoder functions. The simulation analyzes key performance metrics of different coding schemes including code rate, error correction capability, and computational complexity. BER performance evaluation incorporates both bit error rate and symbol error rate measurement methods, implemented through error calculation functions that compare original and decoded sequences. To ensure statistical reliability, the simulation conducts extensive Monte Carlo experiments with parameter sweeping capabilities. Results are presented through comprehensive statistical analysis and graphical visualization using MATLAB's plotting functions, including BER versus SNR curves and performance comparison charts. This implementation provides thorough insights into channel coding characteristics, serving as a valuable reference for communication system design and optimization decisions.