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In this study, in order to improve effectiveness of the abnormal signal detection, the technique of constituting an Average Real signal Mother Wavelet (A-RMW) from two or more real signals has been proposed and its effectiveness has been confirmed. The main results obtained can be summarized as follows : (1) For constructing A-RMW by two or more signals, the Symmetric Complex Real signal Mother Wavelet (SCRMW) first was constructed respectively and then the average SCRMW was obtained by adding them. Finally the average SCRMW obtained above was normalized and the A-RMW was obtained. (2) The proposed constructing method of the SCRMW is different from the traditional Complex Real signal Mother Wavelet that the phase information of all the frequency components has been cut off and symmetric property can be obtained. (3) The proposal method is applied to the rattle noise source detection of a car, and its effectiveness is examined.

nihon kikai gakkai ronbunshū. c

Real-Signal Mother Wavelet and Its Application on Detection of Abnormal Signal (Designing Average Complex Real-Signal Mother Wavelet and Its Application)