Performance Analysis of Diversity Combining over Rayleigh Fading Channels with Impulsive Noise

This paper investigates the performance analysis of diversity combining over fiat fading channels subject to additive impulsive noise. Specifically, the impulsive noise follows the symmetric alpha-stable (SaS) distribution. Traditionally, this is a difficult problem since the analytical expression for the probability density function of a general SaS distribution remains unknown. In order to tackle this difficulty, we adopt Fourier power transform to obtain an exact bit error rate (BER) expression for the Genie-aided receiver as well as a BER upper bound for the conventional linear matched filter receiver, without taking any approximation. Monte Carlo simulations are performed to validate our analytical results. The simulation results show that our proposed BER expressions are valid in the whole geometric signal-noise ratio (GSNR) ranges, thus outperforming the previous results valid only at high GSNR values.