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**Harvard**

McKelvey, T. och Guérin, G. (2012) *Non-parametric frequency response estimation using a local rational model*.

** BibTeX **

@conference{

McKelvey2012,

author={McKelvey, Tomas and Guérin, G.},

title={Non-parametric frequency response estimation using a local rational model},

booktitle={IFAC Proceedings. 16th IFAC Symposium on System Identification},

isbn={978-390282306-9},

pages={49-54},

abstract={A review of the relationship between the frequency response function of linear system and the DFT of the input and output signals show that the output DFT is a sum of two terms. The first term contain the FRF multiplied with the input DFT and the second term capture the effect when the system is not operating in a periodic fashion. The utilization of these two terms when performing non-parametric frequency response function estimation has led to the previously developed Local Polynomial Method. This paper acknowledge that the two terms can better be approximated by local rational functions with a common denominator polynomial and a new method called Local Rational Method has been developed. Numerical simulations illustrate the performance of the new rational method in comparison with the polynomial one. The results suggest that the new rational method gives better performance when the system has a resonant behavior.},

year={2012},

keywords={Discrete Fourier transform, Estimation, Estimation algorithms, Frequency response, Local models, System identification },

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 165008

A1 McKelvey, Tomas

A1 Guérin, G.

T1 Non-parametric frequency response estimation using a local rational model

YR 2012

T2 IFAC Proceedings. 16th IFAC Symposium on System Identification

SN 978-390282306-9

SP 49

OP 54

AB A review of the relationship between the frequency response function of linear system and the DFT of the input and output signals show that the output DFT is a sum of two terms. The first term contain the FRF multiplied with the input DFT and the second term capture the effect when the system is not operating in a periodic fashion. The utilization of these two terms when performing non-parametric frequency response function estimation has led to the previously developed Local Polynomial Method. This paper acknowledge that the two terms can better be approximated by local rational functions with a common denominator polynomial and a new method called Local Rational Method has been developed. Numerical simulations illustrate the performance of the new rational method in comparison with the polynomial one. The results suggest that the new rational method gives better performance when the system has a resonant behavior.

LA eng

DO 10.3182/20120711-3-BE-2027.00299

LK http://publications.lib.chalmers.se/records/fulltext/165008/local_165008.pdf

LK http://dx.doi.org/10.3182/20120711-3-BE-2027.00299

OL 30