Performance of coherent MPSK on frequency selective slowly fading channels

This paper presents a framework for analyzing the error rate performance of multichannel coherent reception of MPSK systems operating over frequency selective, slowly fading channels. Each of the baseband channels is assumed to be a bandlimited two-sided discrete path model with correlated complex Gaussian taps, which is assumed to have resulted from an underlying Gaussian wide-sense-stationary uncorrelated-scattering (WSSUS) physical channel followed by a lowpass filter. By working with this “resolved channel”, the resulting performance evaluation incorporates whatever resolution is inherent in the bandwidth of interest. An expression for the received phase density function is developed. The probability of symbol error, conditioned on the interfering symbols, is then determined, and the cases for which a closed form or efficient numerical evaluation is possible are specified. The symbol error rate is then obtained by summing over the interfering symbols. A progressive ISI bound is then discussed for cases when faster computation is required. Examples are then provided to demonstrate the versatility of the method