Methods of generating multiple uncorrelated Rayleigh fading processes

Simulting space-time-selective fading channels, multiple-input multiple-output (MIMO) channels, frequency-selective and diversity-combined fading channels often requires the generation of multiple uncorrelated Rayleigh fading waveforms. In this paper, it is shown how the deterministic channel modeling approach can be applied to simulate multiple Rayleigh fading processes correlated in time, but uncorrelated between processes. Two appropriate parameter computation methods are investigated to guarantee the uncorrelatedness between different simulated fading processes. Numerical results show that the resulting deterministic channel simulator can accurately reproduce all of the desired statistical properties of the reference model. Moreover, three different procedures are presented to enable the efficient generation of multiple sequences of Rayleigh fading processes uncorrelated in time and between sequences. These methods are useful for simulating perfect interleaving channels.