A novel method for generating multiple uncorrelated mobile-to-mobile Rayleigh fading waveforms

The generation of multiple uncorrelated mobile-to-mobile Rayleigh fading waveforms is essential for simulating frequency selective mobile-to-mobile channels, multiple-input multiple-output (MIMO) mobile-to-mobile channels, and diversity-combined mobile-to-mobile channels. In this paper, a new deterministic model based on Rice's sum of sinusoids (SOS) and "double ring" concept is proposed to simulate multiple uncorrelated Mobile-to-Mobile Rayleigh fading waveforms. Analytical and numerical results show that the resulting sum-of-sinusoids-based deterministic model has better statistical characters than the model with set partition, such as the autocorrelation of this new model is close to the reference ones exactly. It also could be used to generate multiple uncorrelated mobile-to-mobile Rayleigh fading waveforms with low model complexity and low computation cost directly. Moreover, it has many other kinds of realizations with almost the same statistical performance without additional sample trials.