A simulation model for generation of multiple uncorrelated Rayleigh fading waveforms

This paper presents a new discrete-time ergodic simulation model for the efficient generation of multiple time uncorrelated Rayleigh waveforms. It uses the inverse discrete Fourier transform (IDFT) to generate the transmission coefficients with only one random number generator. The model and its statistical characteristics are derived as a function of the channel power spectral density (PSD). Irrespective of the channel PSD shape, the proposed model will be an ergodic complex random process with correct ensemble averages.