Novel Average Bit Error Rate Analysis of generalized fading channels subject to Additive White Generalized Gaussian Noise

Abstract

In this paper, a novel unified performance analysis of wireless communications over generalized fading channels in terms of the Average Bit Error Rate (ABER) is presented. We derive simple and accurate, exact and approximate, closed-form expressions for ABER, encapsulating all coherent modulations, for the α-η-μ, the α-λ-μ and the α-λ-μ-η, generalized fading distribution, which accurately characterize the nonlinear and at the same time the non-homogeneous nature of the propagation medium, and include the α-μ, the λ-μ, the η-μ, the Weibull, the Hoyt, the Rice, the Nakagami-m, the Rayleigh, the Exponential, the Lognormal, the Gamma and the One-sided Gaussian models as special cases. We extend the generality of the derived ABER expressions by assuming Additive White Generalized Gaussian Noise (AWGGN) environment which includes the Gaussian, the Laplacian, the Gamma and the impulsive noise as special cases. The derived expressions are very generic and convenient to handle both numerically and analytically, allowing simple unconstrained performance evaluation and accurate system planning. Numerical testing and existing results for the special cases of these generalized distributions have been used to validate the derived expressions showing an excellent match.