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Nonlinear System Identification by Haar Wavelets [electronic resource] /by Przemysław Śliwiński.

by Śliwiński, Przemysław [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Statistics: 210Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.Description: XI, 139 p. 27 illus., 18 illus. in color. online resource.ISBN: 9783642293962.Subject(s): Statistics | Mathematical statistics | Statistics | Statistical Theory and MethodsDDC classification: 519.5 Online resources: Click here to access online
Contents:
Introduction -- Hammerstein systems -- Identification goal -- Haar orthogonal bases -- Identification algorithms -- Computational algorithms. – Final remarks. - Technical derivations.
In: Springer eBooksSummary: In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
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Introduction -- Hammerstein systems -- Identification goal -- Haar orthogonal bases -- Identification algorithms -- Computational algorithms. – Final remarks. - Technical derivations.

In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.

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