Novel interpretation of the pencil-of-functions approximation/identification method

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.

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 47; no. 10; pp. 2888 - 2891
Main Authors Brehonnet, P., Morvan, R., Vilbe, P., Calvez, L.-C.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.10.1999
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Approximation
Chirp
Coefficients
Detection, estimation, filtering, equalization, prediction
Equations
Error correction
Exact sciences and technology
Filtering
Fourier transforms
Identification methods
Information, signal and communications theory
Least squares method
Mathematical analysis
Mathematical models
Optimized production technology
Signal and communications theory
Signal processing
Signal, noise
Solid modeling
Telecommunications and information theory
Time frequency analysis
Approximation
Least squares method
Signal processing
Characteristic equation
Pole estimation
Identification
Laplace transformation
Modeling
Gram matrix
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1053-587X
1941-0476
DOI:10.1109/78.790672