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An Interplay between Gabor and Wilson Frames
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-17
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Wilson frames {ψjk:w0,w-1∈L2(ℝ)}j∈ℤ,k∈ℕ0 as a generalization of Wilson bases have been defined and studied.
We give necessary condition for a Wilson system to be a Wilson frame.
Also, sufficient conditions for a Wilson system to be a Wilson Bessel sequence are obtained.
Under the assumption that the window functions w0 and w-1 for odd and even indices of j are the same, we obtain sufficient conditions for a Wilson system to be a Wilson frame (Wilson Bessel sequence).
Finally, under the same conditions, a characterization of Wilson frame in terms of Zak transform is given.
American Psychological Association (APA)
Kaushik, S. K.& Panwar, Suman. 2013. An Interplay between Gabor and Wilson Frames. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-485004
Modern Language Association (MLA)
Kaushik, S. K.& Panwar, Suman. An Interplay between Gabor and Wilson Frames. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-485004
American Medical Association (AMA)
Kaushik, S. K.& Panwar, Suman. An Interplay between Gabor and Wilson Frames. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-485004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485004