On the Sum of Correlated Squared src='/images/tex/746.gif' alt='kappa -mu'> Shadowed Random Variables and Its Application to Performance Analysis of MRC

摘要

In this paper, we study the statistical characterization of the sum of the squared shadowed random variables with correlated shadowing components. The probability density function of this sum is obtained in the form of a power series. The derived pdf is utilized for obtaining the performance results of the maximal ratio combining (MRC) scheme over correlated shadowed fading channels. First, we derive the moment-generating function (mgf) of the received signal-to-noise ratio of the MRC receiver. By using the derived mgf expression, the analytical diversity order is obtained; it is deduced on the basis of this analysis that the diversity of the MRC receiver over correlated shadowed channels depends upon the number of diversity branches and parameter. Further, the analytical average bit error rate of the MRC scheme is also derived, which is applicable for -ary phase shift keying and -ary quadrature amplitude modulation constellations. The Shannon capacity of the correlated shadowed channels is also derived in the form of the Meijer-G function.