Some properties of the asymptotic location of poles of Pade approximants to noisy rational functions, relevant for modal analysis

Author

Barone, Piero ; March, Riccardo

Author_Institution

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

Volume

46

Issue

9

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2448

Lastpage

2457

Abstract

The modal analysis model, made up by a linear combination of complex exponential functions, is considered. Pade approximants to the Z-transform of a noisy sample are then considered, and the asymptotic locus of their poles is studied. It turns out that this locus is strongly related to the complex exponentials of the model. By exploiting these properties, powerful methods for estimating the model parameters can be devised, which have both denoising and super-resolution capabilities

Keywords

Z transforms; approximation theory; convergence of numerical methods; functional analysis; noise; parameter estimation; poles and zeros; signal resolution; signal sampling; Pade approximants; Z-transform; asymptotic location; asymptotic locus; complex exponentials; convergence; denoising; modal analysis model; noisy rational functions; noisy sample; parameter estimation; poles; super-resolution; Geophysics; Magnetic noise; Magnetic resonance; Modal analysis; Noise reduction; Parameter estimation; Remote sensing; Sampling methods; Signal to noise ratio; Spectroscopy;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.709533

Filename

709533