Circulant Wavelet Instantaneous Correlation and its Application to Water Leakage

The real signal mother wavelet (RMW) is a special wavelet constructed by using real measured signals. Wavelet instantaneous correlation (WIC) is a correlation analysis by using the RMW without expansion and contraction. WIC is well suited to various abnormality diagnosis systems. However, it is necessary for a specilist to select to “sample” and abnormal phenomena required for the composition of the RMW. There are still many problems to overcome for standardization of the method. Therefore, this research focuses on this problem, and examines the composition method of the RMW by principal component analysis using the circulant matrix. A new circulant wavelet instantaneous correlation using the constructed RMW is proposed and applied to leakage diagnosis. Its effectiveness is shown.