Parasitic discrete wavelet transform and its application to abnormal signal detection

In this study, in order to improve the effectiveness of abnormal signal detection, we first develop a novel parasitic discrete wavelet transform (P-DWT) to perform fast wavelet instantaneous correlation (F-WIC) and then propose a new design method of the parasitic filters for the P-DWT. Furthermore, we show a judgment standard for assessing the credibility of the abnormal signal detection by using the P-DWT. Finally, we apply the F-WIC to car rattle noise source identification and show that our method can improve computation efficiency and obtain sufficient calculation accuracy at the same time.