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Performance analysis of a power line communication system is presented considering the noise as a cyclostationary non-white Gaussian random process. The instantaneous variance of noise is considered as a function of frequency with an exponential power delay profile. An analytic approach is presented to evaluate the performance of a power line communication link in the presence of the above limitations. The expression of the signal to noise ratio is developed considering the frequency and time dependence of the cyclostationary noise. The system bit error rate (BER) is then evaluated numerically for several system parameters like system bit rate, Fourier coefficients of the non-white Gaussian noise process etc. The BER results show that there is deterioration in system BER due to time and frequency dependence of noise and the degradation is found to be significant at higher bit rates and bandwidth. The system suffers penalty in receiver sensitivity due to non-white nature of the noise process.