Construction of Polar Codes in Rayleigh Fading Channel

Dekun Zhou, Kai Niu, Chao Dong · IEEE Communications Letters · 2019

In this letter, we investigate the effective construction method of the polar codes in the Rayleigh fading channel (RFC) based on the Gaussian approximation (GA) algorithm. For the RFC, two algorithms are proposed to find the equivalent binary input AWGN channel (BIAWGNC). The first one transforms the given RFC to an equivalent BIAWGNC with the same average mutual information, and then GA algorithm is performed to construct the polar codes. For the second one, the given RFC is handled as an equivalent BIAWGNC with an analytical expression in terms of the Kullback-Leibler divergence so as to further reduce the complexity of the first algorithm. Finally, the simulation results show the effectiveness of the proposed methods.

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