Statistics of the Product of Three Nakagami-m Random Variables with Applications

In this work, the product of three arbitrary and independent random variables is considered. Level crossing rate (LCR) of product of three Nakagami-m random variables is obtained in pretty simple closed-form expression. The result obtained here can be utilized for calculation the average fade duration (AFD) of wireless relay communication system operating over short term fading channel under the influence of Nakagami-m fading, and for the evaluation of the LCR of relay communication radio systems that work over Rayleigh multipath fading channel. An output signal from a multi-section relay system is equal to the product of the signal envelopes from individual sections.