Nonparametric identification of nonlinearities in block-oriented systems by orthogonal wavelets with compact support

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dc.contributor.authorHasiewicz, Z
dc.contributor.authorPawlak, M
dc.contributor.authorSliwinski, P
dc.date.accessioned2007-09-07T18:45:26Z
dc.date.available2007-09-07T18:45:26Z
dc.date.issued2005-02-28T18:45:26Z
dc.description.abstractThe paper addresses the problem of identification of nonlinear characteristics in a certain class of discrete-time block-oriented systems. The systems are driven by random stationary white processes (independent and identically distributed input sequences) and disturbed by stationary, white, or colored random noise. The prior information about nonlinear characteristics is nonparametric. In order to construct identification algorithms, the orthogonal wavelets of compact support are applied, and a class of wavelet-based models is introduced and examined. It is shown that under moderate assumptions, the proposed models converge almost everywhere (in probability) to the identified nonlinear characteristics, irrespective of the. noise model. The rule for optimum model-size selection is given and the asymptotic rate of convergence of the model error is established. It is demonstrated that, in some circumstances, the wavelet models are, in particular, superior to classical trigonometric and Hermite orthogonal series models worked out earlier.en
dc.format.extent614137 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citation1057-7122; IEEE TRANS CIRCUIT SYST-I, FEB 2005, vol. 52, no. 2, p.427 to 442.en
dc.identifier.doihttp://dx.doi.org/10.1109/TCSI.2004.840288
dc.identifier.urihttp://hdl.handle.net/1993/2787
dc.language.isoengen_US
dc.rights©2005 IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Manitoba's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.en
dc.rightsrestricted accessen_US
dc.statusPeer revieweden
dc.subjectblock-oriented systemsen
dc.subjectnonlinearity recoveringen
dc.subjectnonparametric approachen
dc.subjectwavelet-based modelsen
dc.subjectHAMMERSTEIN SYSTEMSen
dc.subjectPARAMETER-IDENTIFICATIONen
dc.subjectCONVERGENCEen
dc.titleNonparametric identification of nonlinearities in block-oriented systems by orthogonal wavelets with compact supporten
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