Membership set identification with periodic inputs and orthonormal regressors

In this paper, we study the central and the projection algorithms in membership-set estimation with periodic input signals and orthonormal basis functions for the special case that the number of the estimated parameters equals the input period (or overparameterized model structures). First, we deriv...

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Bibliographic Details
Published in:Signal processing 2006-12, Vol.86 (12), p.3778-3786
Main Authors: Akçay, Hüseyin, At, Nuray
Format: Article
Language:English
Subjects:
Applied sciences
Central algorithms
Exact sciences and technology
Identification
Information theory
Information, signal and communications theory
Membership set
Orthonormal basis functions
Periodic inputs
Projection algorithms
Telecommunications and information theory
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Summary:In this paper, we study the central and the projection algorithms in membership-set estimation with periodic input signals and orthonormal basis functions for the special case that the number of the estimated parameters equals the input period (or overparameterized model structures). First, we derive explicit formulae for a central algorithm and the diameter of the membership set. Then, we characterize the set of all projection algorithms.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2006.03.025