On the performance of the energy detector subject to impulsive noise in κ — μ, α — μ, and η — μ fading channels

This paper presents a unified theoretical analysis of the energy detection of Gaussian and M-PSK signals in κ - μ, α - μ, and η - μ fading channels at the output of an energy detector subject to impulsive noise (Bernoulli-Gaussian model). As a result, novel, simple, and accurately approximated expressions for the probability of detection are derived. More precisely, the generalized Gauss-Laguerre quadrature is applied to approximate the probability of detection as a simple finite sum. Monte Carlo simulations corroborate the accuracy and precision of the derived approximations. The results are further extended to cooperative energy detection with hard decision combining information.