BER performance bounds evaluation of coherent M-ary PSK systems in a hyperbolic impulsive and Gaussian noise environment

The performance of coherent M-ary PSK systems, in simultaneous presence of Gaussian and complex impulsive noise is evaluated, using the Fourier-Bessel series expansion technique. The receiver is assumed to be a maximum likelihood detector for the White Gaussian interference and therefore has the form of a parallel bank of matched filters, followed by decision circuity. By employing a Poisson in time and hyperbolic in amplitude distributed realistic impulsive noise model, a closed form expression, for the joint characteristic function (CF) of the filtered noise vector is obtained. The CF method implementation, in conjuction with the analysis used here, leads into considerable reduction of the complexity of simulated M-ary systems Bit Error Rate (BER) performance evaluation and hence extensive computer time saving.