The performance of deterministic Rayleigh fading channel simulators with respect to the bit error probability

All Rayleigh fading channel simulators based on finite sums of weighted harmonic functions with determined frequencies and phases are constitutionally deterministic. We analyze the performance of this important class of fading channel simulators with respect to the bit error probability (BEP) of QPSK and DPSK systems. New exact and approximate formulas for the BEP are derived. Several analytical and simulation results for the BEP are presented by using a typical stochastic procedure (Monte Carlo method) and a typical deterministic procedure (method of exact Doppler spread) for the computation of the parameters of deterministic Rayleigh fading channel simulators.