Identifying harmonics in mechanical systems by using hyperbolic wavelet constructs

Soumelidis, Alexandros and Molnár, Sándor and Schipp, Ferenc (2011) Identifying harmonics in mechanical systems by using hyperbolic wavelet constructs. MECHANICAL ENGINEERING LETTERS: R AND D : RESEARCH AND DEVELOPMENT, 6. pp. 20-38. ISSN 2060-3789

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Abstract

Identification and detection of periodic – or almost periodic – phenomena in the behavior of mechanical systems plays fundamental role in system design, quality assessment, and maintenance. An adequate mode to identify periodicities is the derivation of the poles of the spectral functions – Fourier-transforms or transfer functions. The classical methods of frequency domain identification – spreading from those using FFT-based spectral estimation to the representations in rational orthogonal bases – cannot ultimately solve this problem. A new method for identifying the poles of functions belonging to the Hardy space H2 on the unit disc – corresponding to the spectral representation of discrete-time signals and systems – is introduced. The method is based on the hyperbolic wavelet constructions generated on the Blaschke group. An algorithm is outlined that on the basis of frequency domain measurement data results in efficient estimates of the poles. A numerical simulation example is also presented to illustrate the efficiency of the method.

Item Type: Article
Additional Information: <2012>
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Systems and Control Lab
Depositing User: EPrints Admin
Date Deposited: 05 Feb 2014 12:19
Last Modified: 05 Feb 2014 15:50
URI: http://eprints.sztaki.hu/id/eprint/7593

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