DocumentCode
1554125
Title
Novel interpretation of the pencil-of-functions approximation/identification method
Author
Bréhonnet, Pascale ; Morvan, Riwal ; Vilbé, Pierre ; Calvez, Léon-claude
Author_Institution
UMR CNRS, Univ. de Bretagne, Brest, France
Volume
47
Issue
10
fYear
1999
fDate
10/1/1999 12:00:00 AM
Firstpage
2888
Lastpage
2891
Abstract
Jain´s pencil-of-functions method based on the linear dependence/independence of a set of functions is revisited. It is shown that no matter what model order is chosen, every estimated denominator coefficient may be regarded as the geometric mean of two values obtained in a least-squares sense
Keywords
digital filters; filtering theory; function approximation; identification; least squares approximations; low-pass filters; estimated denominator coefficient; first order digital filter; first order low pass filter; geometric mean; least-squares; linear dependence/independence; pencil-of-functions approximation/identification method; Chirp; Equations; Error correction; Filtering; Fourier transforms; Notice of Violation; Optimized production technology; Signal processing; Solid modeling; Time frequency analysis;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.790672
Filename
790672
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