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Error rate analysis of PLC system with background noise and QPSK constellation

Power line communication (PLC) is a term that refers to the transfer of information form transmitter to receiver over electric wires. Power lines are severely effected by background and impulsive noise. In this paper, a suboptimal detection criterion is considered for deriving the error probability under the effect of additive complex background noise and quadrature phase shift keying (QPSK) symbol points. The envelope of complex background noise is modelled as Nakagami-m distribution. However, the phase of the complex background noise is assumed to follow two different distributions, 1) Uniform distribution and 2) Hoyt distribution. Further, we have evaluated the closed-form expressions of average symbol error rate (SER) for both the cases considered in this paper. The analysis presented in this document closely depicts the effect of background noise on PLC system.