UM  > Faculty of Science and Technology  > DEPARTMENT OF MATHEMATICS
Windowed linear canonical transform and its applications
Kou K.-I.; Xu R.-H.
Source PublicationSignal Processing

In this paper, we generalize the windowed Fourier transform to the windowed linear canonical transform by substituting the Fourier transform kernel with the linear canonical transform kernel in the windowed Fourier transform definition. It offers local contents, enjoys high resolution, and eliminates cross terms. Some useful properties of the windowed linear canonical transform are derived. Those include covariance property, orthogonality property and inversion formulas. As applications analogues of the Poisson summation formula, sampling formulas and series expansions are given. © 2011 Elsevier B.V.

KeywordLinear Canonical Transform Poisson Summation Formula Sampling Formula Series Expansions Windowed Fourier Transform
URLView the original
Indexed BySCI
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000296127700016
Fulltext Access
Citation statistics
Cited Times [WOS]:33   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Kou K.-I.,Xu R.-H.. Windowed linear canonical transform and its applications[J]. Signal Processing,2012,92(1):179-188.
APA Kou K.-I.,&Xu R.-H..(2012).Windowed linear canonical transform and its applications.Signal Processing,92(1),179-188.
MLA Kou K.-I.,et al."Windowed linear canonical transform and its applications".Signal Processing 92.1(2012):179-188.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Kou K.-I.]'s Articles
[Xu R.-H.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Kou K.-I.]'s Articles
[Xu R.-H.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Kou K.-I.]'s Articles
[Xu R.-H.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.