Optimal Approximation of the Impulse Response of Wireless Channels by Stochastic Differential Equations

Journal Article · Mon Dec 31 23:00:00 EST 2007 · IEEE SIGNAL PROCESSING LETTERS

DOI:https://doi.org/10.1109/LSP.2008.2005449· OSTI ID:1003781

Djouadi, Seddik M ^[1]; Olama, Mohammed M ^[1]; Li, Yanyan ^[1]

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1. ORNL

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.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1003781
• Journal Information: IEEE SIGNAL PROCESSING LETTERS, Journal Name: IEEE SIGNAL PROCESSING LETTERS Vol. 15; ISSN 1070-9908
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
APPROXIMATIONS
COMMUNICATIONS
DIFFERENTIAL EQUATIONS
Hilbert space
impulse response
stochastic differential equations.