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
fDate :
10/1/1999 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
