Performance analysis of a parallel interference canceller on Rayleigh fading channels

An exact bit error rate (BER) expression, in closed-form, for parallel interference cancellation (PIC) with decorrelator-based initial data estimates has been derived by S. Verdu (see "Multiuser Detection", Cambridge University Press, 1998), for non-fading channels. We extend this work to Rayleigh fading channels. Specifically, we derive an exact BER expression for a PIC with decorrelator-based initial data estimates on flat Rayleigh fading channels. The BER expression is obtained in terms of the elliptic integral of the third kind. It is noted that this BER expression is one of the rare closed-form expressions one can obtain for the BER of a nonlinear multiuser detector.