Abstract

In this paper, we consider amplify-and-forward (AnF) cooperative systems under correlated fading environments. We first present a brief overview of existing works on the effect of channel correlations on the system performance. We then focus on our main contribution which is analyzing the outage probability of a multi-AnF-relay system with the best relay selection (BRS) scheme under a condition that two channels of each relay, source-relay and relay-destination channels, are correlated. Using lower and upper bounds on the end-to-end received signal-to-noise ratio (SNR) at the destination, we derive corresponding upper and lower bounds on the system outage probability. We prove that the system can achieve a diversity order (DO) equal to the number of relays. In addition, and importantly, we show that the considered correlation form has a constructive effect on the system performance. In other words, the larger the correlation coefficient, the better system performance. Our analytic results are corroborated by extensive Monte-Carlo simulations.

Highlights

  • Cooperative communication is of considerable interest due to its ability to provide the benefits of spatial-diversity to single antenna systems

  • We focus on our main contribution, which is to analyze the effect of the channel correlation between the two channels of each relay on the performance of a multiple AnF relay system with the best relay selection (BRS) scheme

  • It is worth noting that when the channel correlation coefficients increase, the system outage probability decreases in low and intermediate signal-to-noise ratio (SNR) range, while it stays the same in the high SNR region

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Summary

Introduction

Cooperative communication is of considerable interest due to its ability to provide the benefits of spatial-diversity to single antenna systems. It is based on the shared nature of the wireless medium in which a number of distributed neighbors, called relays, can overhear a source’s transmission and forward a manipulated version of their received signal to an intended destination. We first review existing works on the effects of channel correlations on the performance of AnF systems. We focus on our main contribution, which is to analyze the effect of the channel correlation between the two channels of each relay (source-Rk and Rk -destination channels) on the performance of a multiple AnF relay system with the BRS scheme.

General System Model
An Overview of Existing Works
Correlation between the Actual and the Corresponding Estimate Channels
An Investigation for a Remaining Issue
System Model
Outage Probability Analysis
Simulation Results
Conclusions
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