DocumentCode
992586
Title
Optimum choice of free parameter in orthonormal approximations
Author
Tanguy, N. ; Vilbé, P. ; Calvez, L.C.
Author_Institution
Lab. d´´Electron. et Syst. de Telecommun., Univ. de Bretagne Occidentale, Brest, France
Volume
40
Issue
10
fYear
1995
fDate
10/1/1995 12:00:00 AM
Firstpage
1811
Lastpage
1813
Abstract
This correspondence investigates the choice of a free parameter, usually related to time scale, that minimizes the error energy when approximating a given signal with some widely used orthonormal basis functions. The proposed solution is the best that can be achieved with the limited required knowledge of the signal. It is appealing for experimental data for which no exact mathematical expression is available
Keywords
approximation theory; minimisation; signal processing; error energy minimization; free parameter; optimum choice; orthonormal approximations; orthonormal basis functions; Filtering; Finite wordlength effects; Integral equations; Performance analysis; Polynomials; Signal analysis; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.467666
Filename
467666
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