Performance analysis of the MAP equalizer within an iterative receiver including a channel estimator

In this paper, we consider an iterative receiver composed of a maximum a posteriori (MAP) equalizer and a MAP decoder. During the iterations, the equalizer and the decoder exchange extrinsic information and use them as a priori in order to improve their performance. We consider here an iterative receiver including a channel estimator. We propose to study analytically the impact of both the a priori information and the channel estimation errors on the equalizer performance. We show that it is equivalent to a shift in terms of signal-to-noise ratio (SNR) and we provide an analytical expression. Simulation results show that the analytical expression we give approximate quite well the equalizer performance.