Analysis of Performance of BPSK in an Additive Combination of Impulsive and Gaussian Noise

We analyze the bit error rate (BER) performance ofa correlation receiver subject to impulsive plusGaussian noisewith coherent binary phase-shift keying (BPSK). The impulsive component of the noise is assumed to be due torandom occurrences of impulses following a Poisson arrival process.Using the moments of theimpulsive component, aseries expression for the BERis derived by a Taylor's series approach. From this expression, approximate formulae for extreme valuesof signal-to-noise ratio (SNR) and impulse arrival rate (IAR)are obtained. Numerical results show thatwhen the square root raisedcosine pulse is used, (1) the BER performance improves with increaseof the rolloff factor, but the improvement becomes more significantwith decrease of the Gaussian-to-total noise ratioor increase of the IAR,(2) as the rolloff factor increases, a decrease of the IARdegrades the BER performance for low SNRs, but improves it for high SNRs.