Networking

Classes of Sum-of-Cisoids Processes and Their Statistics for the Modeling and Simulation of Mobile Fading Channels

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Executive Summary

In this paper, the authors present a fundamental study on the stationarity and ergodicity of eight classes of Sum-Of-Cisoids (SOC) processes for the modeling and simulation of frequency-nonselective mobile Rayleigh fading channels. The purpose of this study is to determine which classes of SOC models enable the design of channel simulators that accurately reproduce the channel's statistical properties without demanding information on the time origin or the time-consuming computation of an ensemble average. They investigate the wide-sense stationarity, first-order stationarity of the envelope, mean ergodicity, and autocorrelation ergodicity of the underlying random processes characterizing the different classes of stochastic SOC simulators.

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