Abstract-In this paper, we deal with the problem of designing efficient sum-of-sinusoids (SOS) based simulators for frequency non-selective mobile fading channels under non-isotropic scattering conditions. To cope with this problem, we propose a new parameter computation method that can be applied on any given asymmetrical Doppler power spectrum (DPS). With the aim to reduce the computational costs associated with the simulation of high-quality channel waveforms, we also present an efficient simulation approach that combines the proposed parameter computation method with the principle of set partitioning. By considering a reference model for a fading channel with asymmetrical DPS, it is shown that the resulting SOSbased channel simulator satisfactorily emulates the channel's autocorrelation function (ACF). Owing to its characteristics, the proposed channel simulation procedure proves to be a helpful tool for the test and performance analysis of modern wireless communication systems under non-isotropic scattering scenarios