Performance Analysis of Communication Systems over Generalized alpha-lambda-eta-µ Fading Radio Channels

In this paper, we recognize the relation between the generalized α-λ-η-μ and η-μ fading distributions. We present an approximate technique providing the reduction of the α-λ-η-μ distribution to the generalized gamma distribution. For integer values of the fading parameter μ, we prove that the probability density function (PDF) of the α-λ-η-μ distribution is expressed via a linear combination of PDFs of the generalized gamma distributions. The presented results can be used for the evaluation of error rates over α-λ-η-μ fading and channel capacity. We give a full statistical characterization of the multivariate α-λ-η-μ distribution and present a few examples demonstrating the applicability of the derived results including multi-antenna systems employing different receiver diversity methods.