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A Viterbi decoder uses the Viterbi algorithm for decoding a bit stream that has been encoded using Forward error correction based on a Convolutional code. The maximum likelihood detection of a digital stream is possible by Viterbi algorithm. In this paper, we present a Convolutional encoder and Viterbi decoder with a constraint length of 7 and code rate of 1/2. This is realized using Verilog HDL. It is simulated and synthesized using Modelsim PE 10.0e and Xilinx 12.4i.