Title :
A unifying construction of orthonormal bases for system identification
Author :
Ninness, Brett Martin ; Gustafsson, Fredrik
Author_Institution :
Dept. of Electr. & Comput. Eng. Newcastle Univ., NSW, Australia
Abstract :
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
Keywords :
frequency response; identification; FIR model structure; Kautz model structure; Laguerre model structure; all-pass functions; complete orthonormal bases; system identification; unifying construction; Electric variables measurement; Finite impulse response filter; Frequency response; Least squares approximation; Linear regression; Noise measurement; Parameter estimation; Resonance; System identification; Transfer functions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411668
