A simple approach to evaluate the ergodic capacity and outage probability of correlated Rayleigh diversity channels with unequal signal-to-noise ratios

摘要

In this article, we propose a novel method to derive exact closed-form ergodic capacity and outage probability expressions for correlated Rayleigh fading channels with receive diversity. Unlike the existing works, the proposed method employ a simple approach for the capacity and outage analysis for receiver diversity channels operating at different signal-to-noise ratios depicted in the diagonal elements of matrix Ω . With x being the channel gain vector, random variable of the form Y ( a )= a + x ^{? Ω x is considered. Novelty of the work resides in the fact that the distribution of Y ( a ) is accurately determined by employing Fourier representation of unit step function followed by complex integration in a straight forward way. The ergodic channel capacity is thus calculated by using the first-order moment, , while the outage probability for a certain threshold γ ₀is evaluated using . Extensive experiments have been conducted demonstrating the accuracy of the proposed approach.}