Residential College | false |
Status | 已發表Published |
Windowed linear canonical transform and its applications | |
Kou K.-I.; Xu R.-H. | |
2012 | |
Source Publication | Signal Processing |
ISSN | 01651684 |
Volume | 92Issue:1Pages:179-188 |
Abstract | 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. |
Keyword | Linear Canonical Transform Poisson Summation Formula Sampling Formula Series Expansions Windowed Fourier Transform |
DOI | 10.1016/j.sigpro.2011.07.002 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Engineering |
WOS Subject | Engineering, Electrical & Electronic |
WOS ID | WOS:000296127700016 |
Scopus ID | 2-s2.0-80052284890 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | Universidade de Macau |
First Author Affilication | University of 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. |
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