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2012 | 121 | 1A | A-164-A-167
Article title

Accuracy Issues of Discrete Hilbert Transform in Identification of Instantaneous Parameters of Vibration Signals

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Content
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EN
Abstracts
EN
In the paper, an accuracy of the discrete Hilbert transform method in a detection of amplitude and frequency of vibration signals has been examined. This issue was studied for sinusoidal damped vibrations often encountered in practical applications. It has been shown that an inexactness of the Hilbert transform generates fictitious oscillations of amplitude and frequency. For small damping of vibrations these oscillations were significant only at both ends of a discrete signal. An error induced by a numerical algorithm was especially severe for strongly damped vibrations because it manifested itself by a large overestimation of amplitude and erroneous jumps of frequency. To reduce the error generated by the Hilbert transform method, the appropriate modification of discrete signal was proposed.
Keywords
EN
Publisher

Year
Volume
121
Issue
1A
Pages
A-164-A-167
Physical description
Dates
published
2012-01
Contributors
author
  • Institute of Fundamental Technological Research of the Polish Academy of Sciences, A. Pawińskiego 5B, 02-106 Warsaw, Poland
References
  • [1] D. Gabor, J. Inst. Electr. Eng. 93, 429 (1946)
  • [2] M. Feldman, J. Sound Vibrat. 295, 518 (2006)
  • [3] Y. Yan, K. Ahmad, M. Kunduk, D. Bless, J. Voice 19, 161 (2005)
  • [4] M. Meissner, Arch. Acoust. 34, 491 (2009)
  • [5] M. Meissner, Acta Phys. Pol. A 119, 1031 (2011)
  • [6] M. Meissner, Cent. Eur. J. Phys. 5, 293 (2007)
  • [7] M. Meissner, Arch. Acoust. 33, 159 (2008)
  • [8] M. Meissner, Acta Phys. Pol. A 118, 123 (2010)
  • [9] E. Bedrosian, Proc. IEEE 51, 868 (1963)
  • [10] L. Huageng, F. Xingjie, E. Bugra, Am. Inst. Aero. Astr. J. 47, 923 (2009)
  • [11] S.L. Hahn, The Hilbert Transforms in Signal Processing, Artech House Inc., Boston 1996
  • [12] S. Kak, Proc. IEEE 58, 585 (1970)
  • [13] M. Meissner, Appl. Acoust. 69, 583 (2008)
  • [14] W.T. Thomson, Theory of Vibration with Applications, 4th ed., Prentice Hall, New Jersey 1993
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n1a35kz
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