Notice of RetractionApplication of a new wavelet algorithm in hydrological periodic analysis

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

The waveform of Complex Morlet wavelet is similar to the form of the streamflow. In addition, there is a direct correlation between scale and period in the waveform of Complex Morlet wavelet. Compared to real wavelets, the Complex Morlet wavelet reflects the time-frequency localization of time series more realistically. Based on the Complex Morlet wavelet function, a novel method of non-orthogonal wavelet transform is used in the hydrological periodic analysis. By setting appropriate parameter and using Fourier and inverse Fourier transforms repeatedly, several important figures are drawn, from which the periodicities can be achieved. The induction process of the method is addressed in two different ways. As a case, time series of inflow of the Danjiangkou Reservoir are analyzed applying this method. The structure of multiple-scale time series is revealed and the periodicity on different scales is analyzed. The result shows that the inflow series show periodicities of 9 and 23 years. To test the correctness of the result, the curves with periodicity of 9 and 23 years are simulated using the real part of wavelet coefficients. It is found the simulated curves have a good agreement with observed data which have been affected by the random component.