Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605055 | Applied and Computational Harmonic Analysis | 2015 | 14 Pages |
Abstract
This paper investigates the use of invariant cycles to construct band-limited wavelets. We generalize the construction of Lemarié–Meyer wavelets by relaxing the condition on the supports of the low-pass filters. We show that the Prouhet–Thue–Morse constant has an important connection with the measure of the support of the infinite product of the low-pass filter, and the band-limited wavelets with low-pass filters have larger supports than do the Lemarié–Meyer wavelets.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Naohiro Fukuda, Tamotu Kinoshita, Ion Uehara,