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A Unifying Construction of Orthonormal Bases for System Identification (1994)
| Venue: | IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
| Citations: | 78 - 20 self |
BibTeX
@ARTICLE{Ninness94aunifying,
author = {Brett Martin Ninness and Fredrik Gustafsson},
title = {A Unifying Construction of Orthonormal Bases for System Identification},
journal = {IEEE TRANSACTIONS ON AUTOMATIC CONTROL},
year = {1994},
volume = {42},
pages = {515--521}
}
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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 common FIR and recently popular 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.
Keyphrases
unifying construction system identification orthonormal base simple construction basis vector special case pas function balanced realisation construction method popular laguerre kautz model structure complete orthonormal base arbitrary magnitude frequency response prior information unifying formulation common fir restrictive special case completeness property
