Log-Mu Fading Process: Second-Order Statistics for Diversity-Combining Techniques

TL;DR

This paper derives second-order statistical measures such as LCR and AFD for various diversity combining techniques over Log-mu fading channels, providing closed-form and integral expressions validated by simulations.

Contribution

It introduces new analytical expressions for second-order statistics in Log-mu fading channels for multiple diversity schemes, including PSC, EGC, and MRC, considering unbalanced i.n.i.d. channels.

Findings

Closed-form LCR and AFD for PSC

Integral expressions for EGC and MRC

Simulation results confirm theoretical accuracy

Abstract

This paper derives second-order statistics for diversity-combining techniques over Log-mu fading channels. Closed-form expressions for the level crossing rate (LCR) and average fading duration (AFD) are derived for pure selection combining (PSC), while exact multidimensional integral expressions are obtained for equal gain combining (EGC) and maximal ratio combining (MRC). The analysis considers M unbalanced, independent, and non-identically distributed (i.n.i.d.) Log-mu fading channels. Monte Carlo simulations are conducted to validate the theoretical results, demonstrating excellent agreement and confirming the accuracy of the proposed expressions.