Improved Models for the Generation of Multiple Uncorrelated Rayleigh Fading Waveforms


An improved sum-of-sinusoids simulation model is proposed for Rayleigh fading channels. the new model employs random initial phase, and conditional random Doppler frequency for all individual sinusoids. the second-order statistics of the new simulator match the desired ones exactly even if the number of sinusoids is a single-digit integer. Other key statistics of the new simulator approach the desired ones of Clarke''s (1968) reference model as the number of sinusoids approaches infinity, while good convergence is achieved when the number of sinusoids is small. Moreover, the new simulator can be directly used to generate multiple uncorrelated fading waveforms; it is also pointed out that a class of 16 different simulators, which have identical statistical properties, can be developed for Rayleigh fading channels.


Electrical and Computer Engineering

Keywords and Phrases

Clarke's Reference Model; Doppler Effect; Rayleigh Channels; Rayleigh Fading Channels; Conditional Random Doppler Frequency; Convergence; Convergence of Numerical Methods; Digital Simulation; Land Mobile Radio; Mobile Radio Channels; Multiple Uncorrelated Rayleigh Fading Waveforms Generation; Random Initial Phase; Random Processes; Second-Order Statistics; Statistical Analysis; Statistical Properties; Sum-Of-Sinusoids Simulation Model

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Article - Journal

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© 2002 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 2002