Performance Analysis of Energy Detection over Mixture Gamma based Fading Channels with Diversity Reception

TL;DR

This paper develops a unified analytical framework to evaluate energy detection performance over various fading channels using mixture gamma distribution, aiding the design of cognitive radio systems.

Contribution

It introduces novel closed-form expressions for detection probability over MG fading channels with diversity reception, validated through simulations.

Findings

Analytical expressions accurately predict detection performance.

Diversity techniques improve detection over complex fading conditions.

Insights assist in designing robust cognitive radio systems.

Abstract

The present paper is devoted to the evaluation of energy detection based spectrum sensing over different multipath fading and shadowing conditions. This is realized by means of a unified and versatile approach that is based on the particularly flexible mixture gamma distribution. To this end, novel analytic expressions are firstly derived for the probability of detection over MG fading channels for the conventional single-channel communication scenario. These expressions are subsequently employed in deriving closed-form expressions for the case of square-law combining and square-law selection diversity methods. The validity of the offered expressions is verified through comparisons with results from respective computer simulations. Furthermore, they are employed in analyzing the performance of energy detection over multipath fading, shadowing and composite fading conditions, which provides useful insighs on the performance and design of future cognitive radio based communication systems.