Best conditioned parametric identification of transfer function models in the frequency domain

Rolain, Yves; Pintelon, R.; Xu, Kui; Vold, Håvard

doi:10.1109/9.471223

Cited by 67 publications

(27 citation statements)

References 9 publications

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“…Furthermore, the method of Richardson and Formenti uses the Forsythe orthogonal polynomial (Forsythe, 1957). Rolain et al (1995) proved that, in the rational-fraction frequency-response form, no other polynomial basis can provide a better conditioning than the Forsythe polynomials do. We have used a MATLAB implementation of the RFP method by Gutiérrez Acuña (2003).…”

Section: Estimation Of Ideal Open-cavity Responsesmentioning

confidence: 99%

Effect of Opening Middle-Ear Cavity on Vibrations of Gerbil Tympanic Membrane

Maftoon

Funnell

Daniel

et al. 2014

JARO

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This paper presents in vivo experimental measurements of vibrations on the pars flaccida, along the manubrium and at several points on the pars tensa in the gerbil with open middle-ear cavity. The effects of progressive opening of the middle-ear cavity are presented, with up to five different extents of opening. In all manubrial, pars-tensa and pars-flaccida responses, opening the cavity causes an increase in the low-frequency magnitude and a shift of the main middle-ear resonance to lower frequencies and introduces an antiresonance. However, opening the cavity has little or no effect on either the mode of vibration of the manubrium or the breakup frequency of the pars tensa. When the opening is gradually widened, the antiresonance frequency moves to higher frequencies. When the opening is made as wide as anatomically possible, the antiresonance moves to almost 10 kHz. The main increase in the lowfrequency response magnitude happens upon making the smallest hole in the cavity wall, and further progressive enlarging of the opening has little or no effect on the low-frequency magnitude. The antiresonance interferes with the response shapes. An identification method is suggested for eliminating the effect of the antiresonance in order to estimate the ideal open-cavity response. The method is validated and then applied to manubrial and pars-tensa responses. Estimating the ideal open-cavity responses will simplify comparison of the data with numerical models which do not include the air cavity. The data collected at intermediate stages of opening will be useful in validating models that do include the cavity.

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Section: Estimation Of Ideal Open-cavity Responsesmentioning

confidence: 99%

Effect of Opening Middle-Ear Cavity on Vibrations of Gerbil Tympanic Membrane

Maftoon

Funnell

Daniel

et al. 2014

JARO

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“…Inspired by the pioneer work of G. Forsythe (Forsythe, 1957), it is possible to build polynomial bases (Rolain et al, 1995) respecting parity and particularly appropriate for this problem since they make orthonormal the blocks N l and the last n d columns D in equation 8. This can be accomplished by defining p l,k (s) according to the following recursioñ…”

Section: Optimal Polynomial Basesmentioning

confidence: 99%

A Multi-Sensor Parametric Identification Procedure in the Frequency Domain for the Real-Time Surveillance of Flutter

Vacher

Bucharles

2006

IFAC Proceedings Volumes

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Abstract:Flutter flight tests is a crucial and feared phase of the flight test program of a new aircraft. The specific operational context of flutter surveillance implies the development of automatic and reliable tools operating in real-time. At ONERA, we recently developed a toolbox dedicated to data processing for flutter tests. It was used for the latest Airbus aircraft from the A340-600 up to the A380. In this article, we present the main procedure of the toolbox : the identification routine together with the graphical interfaces that were designed to help the operator to get a rapid knowledge of the identification results.

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“…and therefore the has to be replaced with its transformed version Hence the TLS problem should be rephrased, usually like this: (7) subject to and (8) where is the variable of the transformed problem. The corresponding cost function is…”

Section: Preliminaries and Foundationsmentioning

confidence: 99%

“…Frequency scaling To avoid the calculation with numbers of different orders of magnitude, which is an ill-conditioned numerical method, the frequencies are first scaled before the estimation algorithms are started [4], [2], [8], [3]. This means that the frequencies are divided by a scale factor which is generally computed in the following way:…”

Section: A Frequency Scallingmentioning

confidence: 99%

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Generalization of a total least squares problem in frequency domain system identification

Balogh

Koliar²

IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in The

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Abstract-In this paper, a solution to the frequency-domain system identification of a linear time-invariant system is investigated. A generalization of the total least squares algorithm is shown and analyzed. Some simulation examples on real measured data are given, in order to illustrate the properties of the new method in practice.Index Terms-Frequency domain, generalized eigenvalues, initial value setting, system identification, total least squares (TLS).

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Best conditioned parametric identification of transfer function models in the frequency domain

Cited by 67 publications

References 9 publications

Effect of Opening Middle-Ear Cavity on Vibrations of Gerbil Tympanic Membrane

Effect of Opening Middle-Ear Cavity on Vibrations of Gerbil Tympanic Membrane

A Multi-Sensor Parametric Identification Procedure in the Frequency Domain for the Real-Time Surveillance of Flutter

Generalization of a total least squares problem in frequency domain system identification

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