Journal article
The canonical and alternate duals of a wavelet frame
In
Applied and Computational Harmonic Analysis
—
2007, Volume 23, Issue 2, pp. 263-272
Abstract
We show that there exists a frame wavelet ψ with fast decay in the time domain and compact support in the frequency domain generating a wavelet system whose canonical dual frame cannot be generated by an arbitrary number of generators. On the other hand, there exists infinitely many alternate duals of ψ generated by a single function.
Our argument closes a gap in the original proof of this fact by Daubechies and Han [Appl. Comp. Harmonic Anal. 12 (2002), no. 3, 269 –285].
| Language: | English |
|---|---|
| Year: | 2007 |
| Pages: | 263-272 |
| ISSN: | 1096603x and 10635203 |
| Types: | Journal article |
| DOI: | 10.1016/j.acha.2007.04.004 |
| ORCIDs: | Lemvig, Jakob |
