On the First and the Second Order Statistics of the Capacity of - Fading Channels

Consideration of the channel capacity temporal behavior, in order to design a system that could adapt the transmission rate according to the capacity evolving process, and could transmit close to the ergodic capacity, is provided in this paper. Channel conditions have been modeled by the recently introduced general - fading model. We have studied statistical properties of the capacity of - fading channels. Analytical expressions for the first order statistical properties: probability density function (PDF), cumulative distribution function (CDF) and the outage capacity (OC), as well as the second-order statistical properties, such as the level-crossing rate (LCR), and average fade duration (AFD) of the instantaneous channel capacity, have been derived. Obtained results are numerically presented and visualized by the corresponding graphs. [PUBLICATION ABSTRACT]