Performance Assessment of Reparametrized KG Distribution in Modelling SNR of Wireless Channel

Abstract

Modelling composite wireless fading channel is crucial for design and performance analysis of communication system. In this regard, Nakagami/lognormal (NL) distribution is a widely acceptable composite channel model for characterizing SNR of wireless channel. However, probability density function of NL model is not in closed form which limits its applicability. Interestingly, KG model is found to be a good approximation of NL distribution with relatively simpler mathematical expression. In this paper, we propose to reparameterize the KG distribution suitably to approximate the NL distribution for SISO channel.The analytical expressions of outage probability, average symbol error rate and channel capacity are also derived for accessing the performance of reparametrized KG model. Furthermore, analytical capacity bound is derived for the reparametrized KG distribution to model SNR of MIMO wireless channel by exploiting majorization theory. Finally, experimental results are demonstrated to show the usefulness of the proposed KG model which validates the applicability of reparametrized model in approximating NL distribution.