Two ways to simulate a Rayleigh fading channel based on a stochastic sinusoidal model

Julie Grolleau 1 Eric Grivel 1, * Mohamed Najim 1
* Corresponding author
1 IMS - Laboratoire de l'intégration, du matériau au système
Abstract : This letter deals with a new Rayleigh channel simulator. In many cases, the channel is modeled by an autoregressive process, but this choice is not well suited due to the bandlimitation of the theoretical Rayleigh channel power spectrum density. Therefore, we suggest using a low-pass filtered version of the so-called stochastic sinusoidal process. It consists of sinusoids in quadrature with random magnitudes modeled by autoregressive processes. Unlike the autoregressive channel modeling, this simulator has the advantage of exhibiting the PSD peaks at the maximum Doppler frequency. Since estimating the autoregressive parameters of the amplitudes directly using a matrix approach from the theoretical Rayleigh channel autocorrelation leads to numerical errors, we propose two alternative methods using either the asymptotic behavior of the Bessel function or genetic algorithms.
Keywords : genetic algorithms Rayleigh channels autoregressive processes Bessel functions genetic algorithms.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00167814
Contributor : Eric Grivel <>
Submitted on : Thursday, August 23, 2007 - 10:45:05 AM
Last modification on : Thursday, January 11, 2018 - 6:21:07 AM

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Julie Grolleau, Eric Grivel, Mohamed Najim. Two ways to simulate a Rayleigh fading channel based on a stochastic sinusoidal model. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2008, vol. 15, pp. 107-110. ⟨hal-00167814⟩

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