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Second Order Statistics For Composite κ-μ Fading Model

This paper considers second order statistics for the composite κ-μ fading model. More specifically, level crossing rate and average fade duration are calculated, and two formulations are offered: exact and approximate. The exact formulation is given in integral form, and the approximate one is written in terms of the Fox H-function, and also expressed as an infinite summation. The computation of the approximate level crossing rate and average fade duration converges quickly and are practically coincident with the exact solutions for the composite multipath-shadowing environment considered here. Additionally, as an application example, the cascaded fading channel is analyzed. Keywords— level crossing rate, average fade duration, composite fading, cascaded fading channel.