H-transforms for channel capacity

Abstract

In this paper, we develop a unifying H-transform analysis for the channel capacity in H-fading and degree-2 irregular H-fading using the new systematic language of transcendental H-functions. By virtue of Mellin and convolution operations involved in the Mellin transform and Mellin convolution of two H-functions, the H-transform for the channel capacity culminate in again H-functions. Using the algebraic asymptotic expansions of the H-transform, we further quantify the high signal-to-noise-ratio (SNR) power offset and the low SNR slope of the capacity in a unified manner.