Abstract
We describe a procedure that enables us to construct dual pairs of wavelet frames from certain
dual pairs of Gabor frames. Applying the construction to Gabor frames generated by appropriate exponential Bsplines gives wavelet frames generated by functions whose Fourier transforms are compactly supported splines with geometrically distributed knot sequences. There is also a reverse transform, which yields pairs of dual Gabor frames when applied to certain wavelet frames.
dual pairs of Gabor frames. Applying the construction to Gabor frames generated by appropriate exponential Bsplines gives wavelet frames generated by functions whose Fourier transforms are compactly supported splines with geometrically distributed knot sequences. There is also a reverse transform, which yields pairs of dual Gabor frames when applied to certain wavelet frames.
| Original language | English |
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| Title of host publication | Proceedings of the 10th International Conference on Sampling Theory and Applications (SampTA) |
| Publisher | European Association for Signal Processing (EURASIP) |
| Publication date | 2013 |
| Pages | 81-84 |
| Publication status | Published - 2013 |
| Event | 10th International Conference on Sampling Theory and Applications (SampTA 2013) - Bremen, Germany Duration: 1 Jul 2013 → 5 Jul 2013 http://www.univie.ac.at/nuhag-php/event_NEW/make.php?event=SampTA2013 |
Conference
| Conference | 10th International Conference on Sampling Theory and Applications (SampTA 2013) |
|---|---|
| Country/Territory | Germany |
| City | Bremen |
| Period | 01/07/2013 → 05/07/2013 |
| Internet address |