Theoretical analysis of bit error probability for punctured convolutional codes

The analytical error performance of convolutional codes with short constraint length and rate 1/n can be derived by iterative calculation of probability density function of relative state metric. This analytical technique can be also applied to punctured convolutional codes by periodic probability density function. In this paper, an analytical results of bit error probability for punctured convolutional codes using Viterbi decoding over binary symmetric channel are presented.