An Improved Method for Generation of Multiple Uncorrelated Rayleigh Fading Waveforms

Abstract

In this paper, an improved parameter computation method is proposed for generation of multiple uncorrelated Rayleigh fading waveforms. The improved method employs random Doppler frequency wobble for all individual sinusoids based on the original Exact Doppler Spread Method (MEDS), and when the random wobble amplitude is set to be an infinitesimal real value, the autocorrelation (ACF) of inphase (quadrature) components will converge to the ones of reference model exactly. Due to the ACF arithmetic errors of the inphase and quadrature components compensate each other over a determined domain, the ACF of complex waveforms almost the same to the generalized method of MEDS (GMEDS) but with random Doppler frequencies. Simulation results show that the proposed method is useful for the design of simulation models for diversity-combined fading channels, frequency-selective channels, and multiple-input multiple-output (MIMO) channels, moreover, it has close-form and simple expression for model parameters and can be directly used to simulating multiple uncorrelated Rayleigh fading waveforms with low model complexity and low computation costs.