Discrete Subspace Multiwindow Gabor Frames and Their Duals
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper addresses discrete subspace multiwindow Gabor analysis.
Such a scenario can model many practical signals and has potential applications in signal processing.
In this paper, using a suitable Zak transform matrix we characterize discrete subspace mixed multi-window Gabor frames (Riesz bases and orthonormal bases) and their duals with Gabor structure.
From this characterization, we can easily obtain frames by designing Zak transform matrices.
In particular, for usual multi-window Gabor frames (i.e., all windows have the same time-frequency shifts), we characterize the uniqueness of Gabor dual of type I (type II) and also give a class of examples of Gabor frames and an explicit expression of their Gabor duals of type I (type II).
American Psychological Association (APA)
Li, Yun-Zhang& Zhang, Yan. 2013. Discrete Subspace Multiwindow Gabor Frames and Their Duals. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-465506
Modern Language Association (MLA)
Li, Yun-Zhang& Zhang, Yan. Discrete Subspace Multiwindow Gabor Frames and Their Duals. Abstract and Applied Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-465506
American Medical Association (AMA)
Li, Yun-Zhang& Zhang, Yan. Discrete Subspace Multiwindow Gabor Frames and Their Duals. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-465506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465506