Distribution of the Product of Squared Correlated Shadowed Rician Random Variables

Abstract

In this paper, we investigate the problem concerned with the distribution of the product of two squared correlated Shadowed-Rician (SR) random variables (RVs). The SR land mobile satellite (LMS) comsat can be correlated or uncorrelated. The considered correlated normal distribution corresponds to SR fading with capricious transmit and receive correlation. The correlation matrices is surmised to be known to both the transmitter and receiver, while the receiver has complete knowledge of the channel realization, but not the transmitter. In this paper, we considered the correlated SR channels and derived the closed-form articulations for probability density function (p.d.f.), cumulative distribution function (c.d.f.) and moment generating function (m.g.f.) with the help of Meijer-G function.