Journal article
Gabor windows supported on [-1,1] and compactly supported dual windows
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 |
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Year: | 2010 |
Pages: | 89-103 |
ISSN: | 1096603x and 10635203 |
Types: | Journal article |
DOI: | 10.1016/j.acha.2009.07.004 |
ORCIDs: | Christensen, Ole |