More complete probability density functions for fading in mobile communications

This paper presents new envelope PDFs (probability density functions) that describe small-scale, local area fading experienced by narrowband wireless receivers. It develops novel PDFs that describe the local area fading of two coherent multipath components in the presence of other diffuse propagating waves. Analytical expressions, graphical analysis, and applicability of the PDFs are presented. These new PDFs appear to be general equations for modeling local area multipath fading since they contain Rayleigh and Rician PDFs as special cases, and also model local area fading that often defies characterization by classical PDFs.