Estimation of Parameters of Impulse Responses of Mechanical Systems by Modified Prony Method

Vytautas Slivinskas; Virginija Šimonytė

doi:10.4028/www.scientific.net/SSP.113.190

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HomeSolid State PhenomenaSolid State Phenomena Vol. 113Estimation of Parameters of Impulse Responses of...

Estimation of Parameters of Impulse Responses of Mechanical Systems by Modified Prony Method

Abstract:

In this paper the problem of estimation of parameters of a mechanical system using sampled impulse response data is considered. For the estimation of the unknown parameters the modified Prony method is used. It is shown that for the particular data the use of multiple poles improves the accuracy of the model. The initial Prony method estimates are further optimized by an iterative Levenberg optimization procedure. The root mean square error (RMSE) is the criteria for the estimation procedure. The additional modes are used in order to get better results.

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Periodical:

Solid State Phenomena (Volume 113)

Pages:

190-194

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.113.190

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Online since:

June 2006

Authors:

Vytautas Slivinskas, Virginija Šimonytė

Keywords:

Levenberg Method, Multiple Pole, Prony Method, Quasi-Polynomial, RMSE

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References

[1] R. Kumaresan and Y. Feng: FIR prefiltering improves Prony's method (IEEE Trans. on Signal Processing, 39(3), 1991), pp.736-741.

DOI: 10.1109/78.80860

Google Scholar

[2] G. H. Golub and V. Pereyra: The differentiation of pseudo-inverses and nonlinear least squares problem whose variables separate. (SIAM Journal of Numerical Analysis, vol. 10, No. 2, 1973), pp.413-432.

DOI: 10.1137/0710036

Google Scholar

[3] V. Slivinskas and V. Šimonyt÷: Estimation of quasipolynomials in noise: theoretical, algorithmic and implementation aspects (Computer-Intensive Methods in Control and Signal Processing, Birkhäuser, Boston 1997), pp.223-235.

DOI: 10.1007/978-1-4612-1996-5_13

Google Scholar

[4] V. Slivinskas, K. Slivinskas and V. Bučinskas: Creating of the Mathematical Model from the Realization of Measuring of Transient Process of the Mechanical System. (In this issue, 2005).

DOI: 10.4028/www.scientific.net/ssp.113.229

Google Scholar

[5] D. J. Ewins: Modal Testing, Practice and Applications (Second Edition Research Studies Press LTD, Baldock, England 2000), p.562.

Google Scholar