Performance evaluation of energy detector over generalized non-linear and shadowed composite fading channels using a Mixture Gamma Distribution

TL;DR

This paper evaluates energy detection performance over complex fading channels using novel mixture gamma distribution models, providing exact and approximate formulas for different shadowed and non-linear fading scenarios.

Contribution

It introduces new mixture gamma distribution-based models for generalized non-linear and shadowed fading channels, enabling accurate performance evaluation of energy detection.

Findings

Derived novel fading channel models using mixture gamma distribution.

Provided exact and approximate formulas for detection performance.

Validated models under various shadowed and non-linear conditions.

Abstract

The performance of energy detection (ED) for independent and identically distribution (i.i.d.) signal models is analyzed over generalized composite non-linear line-of-sight (LOS) and non-line-of-sight (NLOS) shadowed fading scenarios. The novel expressions for {\alpha}-\k{appa}-{\mu}/Gamma and {\alpha}-{\eta}-{\mu}/Gamma fading channels have been derived to approximate by using the mixture gamma (MG) distribution under low instantaneous signal-to-noise (SNR) condition. On the basis of the deduced fading distributions, novel, exact and close-form detective models are derived to evaluate the sensing performance with different key fading parameters over generalized non-linear and shadowed composite fading channels.