An integrated performance evaluation of ED‐based spectrum sensing over α−κ−μ and α−κ−μ‐Extreme fading channels

Abstract

This paper presents a comparative performance evaluation of energy detector (ED) under the assumption that the propagation signal experiences fading modeled by the nonlinear generalized α−κ−μ or α−κ−μ‐Extreme fading channels. Novel closed‐form analytical expressions for the average probability of detection and the average area under the receiver operating characteristic (ROC) curve (AUC) are derived in terms of the now highly prevalent bivariate Fox H‐function under single‐user spectrum sensing, cooperative spectrum sensing, and square law selection diversity reception. The results derived in the present work are generic as both channel models are compound distributions containing as special cases several other well‐known fading models such as the Nakagami‐m, Rice, the one‐sided Gaussian distribution, and the Weibull distribution, among others. The performance of ED is evaluated by employing the traditional ROC and AUC curves over additive white Gaussian noise by varying model parameters and observing system performances. Analytical results are verified via Monte Carlo simulations in MATLAB®.

On the outage performance analysis of α − κ − µ fading channels with non-orthogonal multiple access protocol

“…With the help of CDF in (7), the closed-form expression for the outage probability of D n with imperfect SIC is given by:…”

“…So, we consider the OP's asymptotic behavior in the high SNR zone. Based on (7), the moment as ρ S → ∞, one may use [1] (15) to estimate the CDF of F γi (x) as ( 13):…”

“…Spectrum sensing is a fundamental operation within the realm of cognitive radio, with power detectors serving as the prevailing method employed for this purpose. The issue at hand has been addressed in many scholarly articles that have examined the performance of the energy detector (ED) in the context of the α − η − µ fading channel [7]- [10]. In the cited works by [11]- [13], the authors examined the application of non-orthogonal multiple access (NOMA) in a scenario where multiple users were considered.…”