A Unifying Construction of Orthonormal Bases for System Identification
1994 (English)In: Proceedings of the 33rd IEEE Conference on Decision and Control, 1994, 3388-3393 vol.4 p.Conference paper (Refereed)
In this paper we develop a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of all known orthonormal bases since the FIR, Laguerre and Kautz model structures are restrictive special cases of our construction as is another construction method based on balanced realisations of all-pass functions. However, in contrast to these special cases, the basis vectors in our unifying construction can have nearly arbitrary magnitude frequency response according to the prior information the user wishes to inject into the problem. We also provide results characterising the completeness properties of our bases.
Place, publisher, year, edition, pages
1994. 3388-3393 vol.4 p.
Frequency response, Identification, Orthonormal bases
IdentifiersURN: urn:nbn:se:liu:diva-94118DOI: 10.1109/CDC.1994.411668ISBN: 0-7803-1968-0OAI: oai:DiVA.org:liu-94118DiVA: diva2:629330
33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, December, 1994