A Unifying Construction of Orthonormal Bases for System Identification
1994 (English)Report (Other academic)
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
Linköping: Linköping University , 1994. , 30 p.
LiTH-ISY-R, ISSN 1400-3902 ; 1670
Vectors, Laguerre basis, Kautz basis
Cybernetik Informationsteori, Maskinelement Servomekanismer Automation
IdentifiersURN: urn:nbn:se:liu:diva-55136ISRN: LITH-ISY-R-1670OAI: oai:DiVA.org:liu-55136DiVA: diva2:315709