Abstract
In this paper, we propose a new complex-type wavelet which we call the RI-Spline wavelet. We show that the RI-Spline wavelet satisfies the admissibility condition and bi-orthogonal condition. That is, the RI-Spline wavelet can be used for continuous and discrete wavelet transform as mother wavelet. We confirm the effectiveness of this wavelet in continuous and discrete cases by using a model signal and applying it to unsteady turbulence analysis. The main results obtained can be summarized as follows : the eddy structure and the energy transportation process of the turbulence can be shown very well. The unsteady turbulence intensity, which is derived from the discrete wavelet transform, is also effective for examining quantitatively the change of the unsteady turbulence energy in terms of time. Our results demonstrate the advantages of our approach.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Transactions of the Institute of Systems, Control and Information Engineers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
