Extended transfer bound error analysis in the presence of channel random nuisance parameter

In this paper, we present the extended transfer bound analysis for the error performance of a general trellis code in the channel with the overall correlated continuous valued nuisance parameters. We introduce proper parameter model and include it into a new extended form of the transfer function. In this way, both, the new additional parameter space and the original error space are incorporated into system error analysis. An example application with simple trellis code and Rayleigh fading channel is investigated in order to demonstrate the functionality of the principle. Computer simulation results are presented for two different codes and various fading scenarios, and comparisons are made among analytical and measured system error performances. It was shown that for fading amplitude our approach was able to predict correct error asymptotes