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• W2767014175 abstract "In this paper we introduce a new approach to the study of filtering theory by allowing to the system's parameters to have uncertainty behavior. We use Hida's white noise space theory to give an alternative characterization to the Wiener filter over the space of stochastic distributions. The main idea throughout this paper is to view the random variables as bounded multiplication operators (with respect to the Wick product) between Hilbert spaces of stochastic distributions. This allows us to use operator theory tools and properties of Wiener algebras over Banach spaces to proceed and characterize the Wiener filter equations under the underlying randomness assumptions." @default.
• W2767014175 created "2017-11-10" @default.
• W2767014175 creator A5041573029 @default.
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• W2767014175 date "2017-10-26" @default.
• W2767014175 modified "2023-09-27" @default.
• W2767014175 title "Stochastic Wiener Filter in the White Noise Space" @default.
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• W2767014175 hasPublicationYear "2017" @default.
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