PLCC System Performance with Complex Channel-Gain and QPSK Signaling

This paper analyzes the performance of a power line carrier communication (PLCC) system under the effect of complex channel gain and additive background noise utilizing quadrature phase shift keying (QPSK) transmission scheme. The background noise considered here is complex in nature whose envelope is Nakagami-m distributed while phase follows uniform distribution. The magnitude and phase of complex channel gain coefficients are assumed to have Rayleigh and uniform distribution, respectively. Utilizing the sub-optimal decision rule for the real and imaginary parts of the complex data, and after deriving the expressions for the conditional probability density function (PDF) of the decision variables, we obtain a closed from expression for the conditional symbol error rate (SER) of the QPSK data for the considered system. Further, we analyze the outage performance of the considered PLCC system and derive the expression for conditional outage probability. The derived expressions of SER and outage probability are conditioned on the phase of the complex channel gain and the noise, which has been numerically averaged to get the analytical values for average SER and average outage probability. The analytical results presented in this paper have been verified by the simulations.