Title: A simulation model for generation of multiple uncorrelated Rayleigh fading waveforms

Authors: Vanderlei Aparecido Da Silva, Taufik Abrao, Paul Jean E. Jeszensky

Addresses: COPEL (Companhia Paranaense de Energia) – Electrical Energy Company for Generation, Transmission, Distribution and Commercialization, R. Jose Izidoro Biazetto, 158 – Bloco C, s.06 81200-240, Curitiba, Parana, Brazil. ' Electrical Engineering Department, State University of Londrina (DEEL-UEL), Rod. Celso Garcia Cid – PR445, s/n, Campus Universitario, P.O. Box 6001, 86051-970, Londrina, PR – Brazil. ' Laboratorio de Comunicacoes e Sinais, Department of Telecommunications and Control Engineering, Escola Politecnica of University of Sao Paulo (LCS-PTC-EPUSP), Av. Prof. Luciano Gualberto, tr. 3, 158, Cidade Universitaria, Sao Paulo, SP, 05508-900, Brazil

Abstract: 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.

Keywords: Rayleigh fading waveforms; channel modelling; Rayleigh waveforms; uncorrelated fading; simulation; inverse DFT; discrete Fourier transform; IDFT; transmission coefficients; channel PSD; power spectral density.

DOI: 10.1504/IJSCPM.2011.039742

International Journal of Satellite Communications Policy and Management, 2011 Vol.1 No.1, pp.77 - 102

Published online: 11 Mar 2015 *