AN ANTI-ALIASING ALGORITHM FOR DISCRETE WAVELET TRANSFORM |
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| Affiliation: | 1. University of Bremen, Bremen Institute for Metrology, Automation and Quality Science, Linzer Str. 13, Bremen 28359, Germany;2. former: University of Bremen, Bremen Institute for Metrology, Automation and Quality Science, Linzer Str. 13, Bremen 28359, Germany;3. Deutsche WindGuard Engineering GmbH, Uberseering 7, Bremerhaven 27580, Germany;4. German Aerospace Center (DLR), Bunsenstrasse 10, Göttingen 37073, Germany;1. Nora Eccles Harrison Cardiovascular Research and Training Institute, The University of Utah – Health, Salt Lake City, UT 84112, USA;2. Division of Cardiovascular Medicine, Department of Internal Medicine, The University of Utah – Health, Salt Lake City, UT 84112, USA;3. Department of Bioengineering, The University of Utah – Health, Salt Lake City, UT 84112, USA;4. Division of Cardiothoracic Surgery, Department of Surgery, The University of Utah – Health, Salt Lake City, UT 84112, USA |
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| Abstract: | Causes of aliasing that inheres in the fast algorithm, the so-called Mallat algorithm, of discrete wavelet transform (DWT) are explained in detail. Also, an anti-aliasing algorithm for DWT is presented. Both the canonical and the presented algorithm are applied to analyse a typical simulated signal and a vibration signal measured from a defective ball bearing. It is shown that the presented algorithm is quite effective for avoiding aliasing and for extracting impact feature from a complex background. |
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