Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ
Joint Authors
Yuan, D. H.
Yang, S. Z.
Shen, Y. F.
Shen, Y. F.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider the multigenerator system {EmblTnalφl,m,n∈ℤ, l=0,…,r-1} for φ0,…,φr-1∈L2(?) and a0,b0,…,ar-1, br-1>0, where the parameters b0,…,br-1>0 are not necessary the same.
With the help of frame theory, we provide some sufficient or necessary conditions for the system to be a frame for L2(?).
Moreover, we present some characterizations for this system to be a Parseval frame.
American Psychological Association (APA)
Yuan, D. H.& Shen, Y. F.& Shen, Y. F.& Yang, S. Z.. 2012. Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-991408
Modern Language Association (MLA)
Yuan, D. H.…[et al.]. Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-991408
American Medical Association (AMA)
Yuan, D. H.& Shen, Y. F.& Shen, Y. F.& Yang, S. Z.. Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-991408
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-991408