Regularity of Dual Gabor Windows
Joint Authors
Kim, Rae Young
Christensen, Ole
Kim, Hong Oh
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present a construction of dual windows associated with Gabor frames with compactly supported windows.
The size of the support of the dual windows is comparable to that of the given window.
Under certain conditions, we prove that there exist dual windows with higher regularity than the canonical dual window.
On the other hand, there are cases where no differentiable dual window exists, even in the overcomplete case.
As a special case of our results, we show that there exists a common smooth dual window for an interesting class of Gabor frames.
In particular, for any value of K∈ℕ, there is a smooth function h which simultaneously is a dual window for all B-spline generated Gabor frames {EmbTnBN(x/2)}m,n∈ℕ for B-splines BN of order N=1,…,2K+1 with a fixed and sufficiently small value of b.
American Psychological Association (APA)
Christensen, Ole& Kim, Hong Oh& Kim, Rae Young. 2013. Regularity of Dual Gabor Windows. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-495486
Modern Language Association (MLA)
Christensen, Ole…[et al.]. Regularity of Dual Gabor Windows. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-495486
American Medical Association (AMA)
Christensen, Ole& Kim, Hong Oh& Kim, Rae Young. Regularity of Dual Gabor Windows. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-495486
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495486