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

Muhammad Moinuddin,Imran Naseem

doi:10.1186/1687-1499-2013-20

Abstract

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 γ0is evaluated using . Extensive experiments have been conducted demonstrating the accuracy of the proposed approach.

Highlights

1 Introduction Ergodic channel capacity and outage probability are two important parameters to be considered for the design of a given communication system [1]
It is well known that diversity schemes enhance the system capacity by proper utilization of random variation in a multipath wireless channel
We present a novel approach of capacity and outage probability analysis of correlated diversity

Summary

Introduction

Ergodic channel capacity and outage probability are two important parameters to be considered for the design of a given communication system [1]. As such the Shannon capacity formula, initially derived for Gaussian environment, gives an upper bound for maximum transmission rate [2]. Capacity depends on the nature of a particular channel environment. Efforts have been focused to derive closed-form expressions for exact/estimated capacity [3-5]. It is well known that diversity schemes enhance the system capacity by proper utilization of random variation in a multipath wireless channel. The capacity evaluation and the outage analysis of diversity schemes becomes complicated. Several works have attempted to study the capacity and outage analysis of diversity channels [6,7]

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