Abstract
For many applications in signal processing and numerical analysis, it is important to use periodic scaling functions and wavelets. The aim of this paper is a constructive approach to periodic spline wavelets and to related decomposition and reconstruction algorithms. We apply the periodization of the semiorthogonal Chui–Wang wavelets and the well-known Euler–Frobenius functions. Using a new approach to the decomposition relations via two-scale symbol (2, 2)-matrices, we obtain new and efficient decomposition and reconstruction algorithms which are mainly based on the fast Fourier transform technique. The presented algorithms can be used for the decomposition and reconstruction of L 2( R )-functions, too. Finally, our decomposition algorithm is used to analyze the local regularity of periodic functions.
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 callDisclaimer: 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.
