Performance Analysis of Communication Systems

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.