DocumentCode :
1011452
Title :
Optimal Approximation of the Impulse Response of Wireless Channels by Stochastic Differential Equations
Author :
Djouadi, Seddik M. ; Olama, Mohammed M. ; Li, Yanan
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of Tennessee, Knoxville, TN
Volume :
15
fYear :
2008
fDate :
6/30/1905 12:00:00 AM
Firstpage :
896
Lastpage :
899
Abstract :
Wireless communication networks are characterized by nodes and scatters mobility which make the propagation environment time-varying and subject to fading. These variations are captured by random time-varying impulse responses. The latter are fairly general finite energy functions of both time and space that cannot be specified by a finite number of parameters. In this letter, we show that the impulse responses can be approximated in a mean square sense as close as desired by impulse responses that can be realized by stochastic differential equations (SDEs). The behaviors of the SDEs are characterized by small finite dimensional parameter sets.
Keywords :
differential equations; fading channels; radio networks; stochastic processes; transient response; wireless channels; fading channel; general finite energy functions; impulse response; nodes mobility; optimal approximation; propagation environment; scatters mobility; stochastic differential equations; wireless channels; wireless communication networks; Autoregressive processes; Communication networks; Differential equations; Fading; Scattering; Stochastic processes; Stochastic resonance; TV; Transmitters; Wireless sensor networks; Hilbert space; impulse response; stochastic differential equations;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2008.2005449
Filename :
4691050
Link To Document :
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