Belief Propagation Polar Decoding for Wireless Communication Systems with Noisy Channel Estimates

In this paper, we propose a channel reliability compensation factor to enhance the performance of belief propagation polar decoders on flat Rayleigh fading channels with noisy channel estimates. By including the error variance of the channel estimate in the derivation of the channel intrinsic information, the formula for calculating the value of channel reliability compensation factor is provided. Simulation results show that a BP polar decoder with the proposed compensation factor achieves a gain of 1.5 dB at a BER of 10 - 3 compared to the one without using the compensation factor. This gain is obtained with no additional complexity.