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Fading Channels
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Stochastic Models for Multipath
Fading Channels in Wireless Communications

This project introduces stochastic differential equations in order to model
the long-term and short-term effects of electromagnetic waves transmitted
over wireless multipath fading channels. For long-term signal transmission
it is shown that the instantaneous power of the multipath components follow
a mean reverting log-normal stochastic differential equation. For short-term
signal transmission it is shown that the instantaneous power of the multipath
components follow a mean reverting square-root diffusion process. In both
cases the probability distributions are derived and the second-order statistics
are computed. The ergodic properties of the instantaneous power are also
investigated. These models give rise to probability distributions which
are generalizations of Rayleigh, Rician, Nagakami and Log-Normal distributions.
*C.D. Charalambous, N. Menemenlis*

*Annual Report*

*Mon Jun 26 21:22:20 GMT 2000*