A new estimation method in modal analysis

Author

Barone, Piero ; Ramponi, Alessandro

Author_Institution

Ist. per le Applicazioni del Calcolo, CNR, Rome, Italy

Volume

48

Issue

4

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

1002

Lastpage

1014

Abstract

In this paper, the modal analysis model, which is made up of a linear combination of complex exponential functions, is considered. The problem of estimating the number of modes as well as the frequencies, decays, amplitudes, and phases and their variability is afforded by means of the condensed distribution of the poles of Pade approximants to the Z-transform of the data. This provides a unified framework in which all of these problems can be solved in an almost automatic way. It is experimentally proved that the results favorably compare with that provided by well-established methods

Keywords

amplitude estimation; frequency estimation; modal analysis; polynomial approximation; signal processing; transforms; Pade approximants poles; Z-transform; amplitudes; complex exponential functions; condensed distribution; decays; estimation method; frequencies; linear combination; modal analysis; phases; unified framework; variability; Amplitude estimation; Differential equations; Frequency estimation; Magnetic resonance imaging; Modal analysis; Parameter estimation; Phase estimation; Polynomials; Signal resolution; Spectroscopy;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.827534

Filename

827534