Design and Performance Analysis of Convolutional Encoder and Viterbi Decoder for Various Generator Polynomials

In digital communication forward error correction methods have a great practical importance when channel is noisy. Convolutional error correction code can correct both type of errors random and burst. Convolution encoding has been used in digital communication systems including deep space communication and wireless communication. The error correction capability of convolutional code depends on code rate and constraint length. The low code rate and high constraint length has more error correction capabilities but that also introduce large overhead. This paper introduces convolutional encoders for various constraint lengths. By increasing the constraint length the error correction capability can be increased. The performance and error correction also depends on the selection of generator polynomial. This paper also introduces a good generator polynomial which has high performance and error correction capabilities.