NDLI: Simulation models with correct statistical properties for Rayleigh fading channels

Content Provider	IEEE Xplore Digital Library
Author	Yahong Rosa Zheng Chengshan Xiao
Copyright Year	1972
Abstract	In this paper, new sum-of-sinusoids statistical simulation models are proposed for Rayleigh fading channels. These new models employ random path gain, random initial phase, and conditional random Doppler frequency for all individual sinusoids. It is shown that the autocorrelations and cross correlations of the quadrature components, and the autocorrelation of the complex envelope of the new simulators match the desired ones exactly, even if the number of sinusoids is as small as a single-digit integer. Moreover, the probability density functions of the envelope and phase, the level crossing rate, the average fade duration, and the autocorrelation of the squared fading envelope which contains fourth-order statistics of the new simulators, asymptotically approach the correct ones as the number of sinusoids approaches infinity, while good convergence is achieved even when the number of sinusoids is as small as eight. The new simulators can be directly used to generate multiple uncorrelated fading waveforms for frequency selective fading channels, multiple-input multiple-output channels, and diversity combining scenarios. Statistical properties of one of the new simulators are evaluated by numerical results, finding good agreements.
Starting Page	920
Ending Page	928
Page Count	9
File Size	698778
File Format	PDF
ISSN	00906778
Volume Number	51
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fading Autocorrelation Rayleigh channels MIMO Computational modeling Higher order statistics Probability density function H infinity control Diversity reception Mathematical model
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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