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Summary: On Statistics of the Mobile Rayleigh Fading
Channel in Non-Isotropic Scattering Environments
Rauf Iqbal and Thushara D. Abhayapala
Department of information Engineering
Research School of Information Sciences and Engineering
The Australian National University, ACT 200, AUSTRALIA
Tel: +61-2-6125-6246, Fax: +61-2-6230-6121
E-mails: rauf.iqbal@anu.edu.au;thushara.abhayapala@anu.edu.au
Abstract-- Scattering encountered in many wireless commu-
nications scenarios is non-isotropic. Assumption of uniform
distribution of Power Azimuth Spectrum (PAS) in a non-isotropic
scattering environment introduces significant errors on the sec-
ond order channel statistics which are the basis for the estimation
of some important receiver parameters. Moreover, there are
certain applications in communications that rely solely on the
statistics of the channel. In this contribution, we use the well-
known Jacobi-Anger expansion of the plane wave to develop
a discrete-time generalized Rayleigh fading channel model that
models the statistics of the channel in closed form in general, non-
isotropic and isotropic, scattering environments. We compare the
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