\(H_\infty\) deconvolution filtering, prediction, and smoothing: A Krein space polynomial approach (Q2734311)
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scientific article; zbMATH DE number 1633944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H_\infty\) deconvolution filtering, prediction, and smoothing: A Krein space polynomial approach |
scientific article; zbMATH DE number 1633944 |
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17 August 2003
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frequency-domain analysis
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\(H_\infty\) deconvolution
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\(J\)-spectral factorization
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Krein spaces
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polynomial approach
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0.9022676
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0.8613986
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0.86079764
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0.85959196
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0.8554146
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\(H_\infty\) deconvolution filtering, prediction, and smoothing: A Krein space polynomial approach (English)
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Using a polynomial systems approach, usually the \(H_\infty\) deconvolution problem requires three polynomial equations and three standard spectral factorization. In this paper, using a Krein space polynomial approach, the \(H_\infty\) deconvolution problem, deconvolution filter, predictor, and fixed-lag smoother are computed in terms of only one \(J\)-spectral factorization. This new approach simplifies the computation involved, and it seems to be an important tool for applications in signal processing and communications.
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