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

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.