Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605050 | Applied and Computational Harmonic Analysis | 2014 | 13 Pages |
Abstract
•A family of Parseval periodic wavelet frames is constructed.•The family has minimal uncertainty constant with respect to a family parameter.•The family has the best currently known localization with respect to a MRA parameter.•The family is constructed using a nonstationary periodic MRA.
A family of Parseval periodic wavelet frames is constructed. The family has optimal time–frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Elena A. Lebedeva, Jürgen Prestin,