Performance Investigation of Polar Codes over Nakagami-M Fading and Real Wireless Channel Measurements

Abstract

Due to their high performance as well as their low design complexity, polar codes are being considered as a candidate for next generation of mobile and wireless communications. Originally, polar codes were exactly designed over binary erasure channels (BECs) only. Later, polar codes over additive white Gaussian noise (AWGN) channel and fading channels were discussed. Some researches have investigated the performance of polar codes over multipath fading environment characterized by Rayleigh model which, however, fails to accurately predict wireless environments of high frequencies and long distance transmissions. The performance analysis of polar codes over a practical set is rarely addressed. To this end, this paper is devoted to investigate the performance of polar codes over a fading environment characterized by Nakagami-m fading model which demonstrates closer estimates to the measurements of real wireless channels. Then, we investigate the performance of polar codes over real channel measurements collected in an indoor as well as V2V communication environments. The remarkable error rate performance of polar code shows that it will be beneficial to future wireless systems where high data rates and low BERs are necessary.