📡 Error-Correcting Codes Waterfall Lab: Repetition, Hamming(7,4) and Viterbi Convolutional Decoding vs the Shannon Limit

Send bits through a noisy BPSK channel and watch five codes fight the noise: repetition, Hamming(7,4) syndromes and a K=3 convolutional code decoded by the Viterbi trellis with hard or soft decisions. A Monte Carlo BER waterfall is overlaid on exact and union-bound theory, with coding gain and the Shannon limit.