Evaluation of Statistics for Macrodiversity Systems Under the Influence of Specific Single Shadowing and Complex Fading

Abstract

Wireless signals often propagate in spaces containing large and small obstacles that affect the quality of such radiation. Obstacles cause a nonnegligible loss of the propagated power. The degradation of the signal quality is described by introducing fading and shadowing effects. A case of a wireless communication system that consists of a macro-level component represented by the selection combiner (SC) and two micro-level components consisting of the maximal ratio combiners (MRC) with [Formula: see text] branches is studied in this paper. The MRC component assumes the presence of a single-base station. The received signal is disturbed by simultaneous impact of the multipath Nakagami-[Formula: see text] fading and gamma shadowing. Consequently, the envelope is described by generalized-[Formula: see text] density function. On the other hand, SC component assumes the presence of two base stations, where the average power of the received signal is described using gamma distribution. The exact closed-form expression is obtained for probability density function of the signal at the output of the system, followed by the corresponding outage probability (Pout). Calculations are depicted graphically expressing influences of different fading values as well as the signal parameters.