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Computation of the Short-Time Linear Canonical Transform with Dual Window
Joint Authors
Shuiqing, Xu
Huang, Lei
Zhang, Ke
Yi, Chai
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The short-time linear canonical transform (STLCT), which maps the time domain signal into the joint time and frequency domain, has recently attracted some attention in the area of signal processing.
However, its applications are still limited due to the fact that selection of coefficients of the short-time linear canonical series (STLCS) is not unique, because time and frequency elementary functions (together known as basis function) of STLCS do not constitute an orthogonal basis.
To solve this problem, this paper investigates a dual window solution.
First, the nonorthogonal problem that suffered from original window is fulfilled by orthogonal condition with dual window.
Then based on the obtained condition, a dual window computation approach of the GT is extended to the STLCS.
In addition, simulations verify the validity of the proposed condition and solutions.
Furthermore, some possible applied directions are discussed.
American Psychological Association (APA)
Huang, Lei& Zhang, Ke& Yi, Chai& Shuiqing, Xu. 2017. Computation of the Short-Time Linear Canonical Transform with Dual Window. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190341
Modern Language Association (MLA)
Huang, Lei…[et al.]. Computation of the Short-Time Linear Canonical Transform with Dual Window. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1190341
American Medical Association (AMA)
Huang, Lei& Zhang, Ke& Yi, Chai& Shuiqing, Xu. Computation of the Short-Time Linear Canonical Transform with Dual Window. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190341
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190341