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Abstract: The inner product type and convolution type of wavelet
transformation are wavelet transformation’s two different modality and
they have different processing effect for the same signal because their
operational algorithm is different. In order to compare the frequency
band separating effect and fault extraction effect of these two kinds of
wavelet transformation, a bearing’s vibrating signal is processed by
them respectively and their processing results in every scale are
compared in detail. The analyzing results show that signal processing
effect of convolution type of wavelet transformation has the advantage
of that of inner product type one. Not only has it better frequency band
separating effect, but also its ability to extract fault information is
superior to that of inner product type of wavelet transformation. At
last the theoretic analysis for this phenomenon is given.
Key words: Inner product type of wavelet transformation Convolution type
of wavelet transformation Signal processing Separation of frequency
band Fault feature
CLC No: TP393
TK267
国家自然科学基金(50305005)和广东省自然科学基金(980396)资助项目. Received 20030301, received in
revised form 20030930
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