Journal article
Gabor windows supported on [-1,1] and compactly supported dual windows
In
Applied and Computational Harmonic Analysis
—
2010, Volume 28, Issue 1, pp. 89-103
Abstract
Consider a bounded function g supported on [-1, 1] and a modulation parameter b is an element of inverted left perpendicular1/2, 1inverted right perpendicular for which the Gabor system {E(mb)T(n)g}(m,n is an element of Z) is a frame. We show that such a frame always has a compactly supported dual window.
More precisely, we show that if b
As a consequence we obtain easily verifiable criteria for a function g to generate a Gabor frame with a dual window having compact support of prescribed size.
| Language: | English |
|---|---|
| Year: | 2010 |
| Pages: | 89-103 |
| ISSN: | 1096603x and 10635203 |
| Types: | Journal article |
| DOI: | 10.1016/j.acha.2009.07.004 |
| ORCIDs: | Christensen, Ole |
Keywords
