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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