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Nonlinear System Identification by Haar Wavelets

by Śliwiński, Przemysław.
Authors: SpringerLink (Online service) Series: Lecture Notes in Statistics, 0930-0325 ; . 210 Physical details: XI, 139 p. 27 illus., 18 illus. in color. online resource. ISBN: 3642293964 Subject(s): Statistics. | Mathematical statistics. | Statistics. | Statistical Theory and Methods.
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E-Book E-Book AUM Main Library 519.5 (Browse Shelf) Not for loan

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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