Performance Analysis of Opportunistic Relaying Over Imperfect Non-identical Log-normal Fading Channels

TL;DR

This paper analyzes the outage probability of opportunistic relaying systems over imperfect non-identical Log-normal fading channels, deriving closed-form expressions and examining the impact of channel estimation errors.

Contribution

It provides the first analytical outage probability expressions for opportunistic relaying over imperfect Log-normal channels considering Gaussian channel estimation errors.

Findings

Closed-form outage probability expressions derived.

Simulation results closely match analytical results despite estimation errors.

Imperfect channel estimation has negligible impact in many scenarios.

Abstract

Motivated by the fact that full diversity order is achieved using the "best-relay" selection technique, we consider opportunistic amplify-and-forward and decode-and-forward relaying systems. We focus on the outage probability of such a systems and then derive closed-form expressions for the outage probability of these systems over independent but non-identical imperfect Log-normal fading channels. We consider the error of channel estimation as a Gaussian random variable. As a result the estimated channels distribution are not Log-normal either as would be in the case of the Rayleigh fading channels. This is exactly the reason why our simulation results do not exactly matched with analytical results. However, this difference is negligible for a wide variety of situations.