Temat: spectral analysis - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analytic Interpolation and the Degree Constraint
Autorzy:: Georgiou, T. T.
Powiązania:: https://bibliotekanauki.pl/articles/908329.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: interpolacja analityczna
szereg czasowy
analytic interpolation
uniformly optimal control
spectral analysis of time-series
Opis:: Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 271-279
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The approximation function of bridge deck vibration derived from the measured eigenmodes
Autorzy:: Sokol, M.
Komorníková, M.
Bacigál, T.
Rodríguez, M. X.
Powiązania:: https://bibliotekanauki.pl/articles/329968.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: eigenmode approximation
eigenmode derivatives
regression spline
spectral analysis
distributed parameter system
krzywa regresji
analiza spektralna
układ o parametrach rozłożonych
Opis:: This article deals with a method of how to acquire approximate displacement vibration functions. Input values are discrete, experimentally obtained mode shapes. A new improved approximation method based on the modal vibrations of the deck is derived using the least-squares method. An alternative approach to be employed in this paper is to approximate the displacement vibration function by a sum of sine functions whose periodicity is determined by spectral analysis adapted for non-uniformly sampled data and where the parameters of scale and phase are estimated as usual by the least-squares method. Moreover, this periodic component is supplemented by a cubic regression spline (fitted on its residuals) that captures individual displacements between piers. The statistical evaluation of the stiffness parameter is performed using more vertical modes obtained from experimental results. The previous method (Sokol and Flesch, 2005), which was derived for near the pier areas, has been enhanced to the whole length of the bridge. The experimental data describing the mode shapes are not appropriate for direct use. Especially the higher derivatives calculated from these data are very sensitive to data precision.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 799-814
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Optimal random sampling for spectrum estimation in DASP applications
Autorzy:: Tarczyński, A.
Qu, D.
Powiązania:: https://bibliotekanauki.pl/articles/908447.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: cyfrowe przetwarzanie sygnału
próbkowanie losowe
analiza spektralna
próbkowanie optymalne
digital alias-free signal processing
random sampling
spectral analysis
optimal sampling
Opis:: In this paper we analyse a class of DASP (Digital Alias-free Signal Processing) methods for spectrum estimation of sampled signals. These methods consist in sampling the processed signals at randomly selected time instants. We construct estimators of Fourier transforms of the analysed signals. The estimators are unbiased inside arbitrarily wide frequency ranges, regardless of how sparsely the signal samples are collected. In order to facilitate quality assessment of the estimators, we calculate their standard deviations. The optimal sampling scheme that minimises the variance of the resulting estimator is derived. The further analysis presented in this paper shows how sampling instant jitter deteriorates the quality of spectrum estimation. A couple of numerical examples illustrate the main thesis of the paper
Źródło:: International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 463-469
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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