In this paper, we discuss the applicability of deterministic parameter computation methods to the design of simulation models for mobile-to-mobile multipath fading channels. It is shown that the Rice's sum-of-sinusoids concept, employing the mean square error method (MSEM), the Lp-norm method (LPNM) and the method of exact Doppler spread (MEDS) can directly be applied to the design of so-called Rayleigh and "double-Rayleigh" mobile-to-mobile radio fading channel models. The performance of the designed mobile-to-mobile channel simulator is analyzed with respect to the autocorrelation function (ACF) and level crossing rate (LCR) of fading processes, and also by considering the bit error probability (BEP) of noncoherent differential phase shift keying (DPSK) modulation schemes.