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Sampling in the Linear Canonical Transform Domain
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates the interpolation formulae and the sampling theorem for bandpass signals in the linear canonical transform (LCT) domain.
Firstly, one of the important relationships between the bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived.
Secondly, two interpolation formulae from uniformly sampled points at half of the sampling rate associated with the bandpass signals and their generalized Hilbert transform or the derivatives in the LCT domain are obtained.
Thirdly, the interpolation formulae from nonuniform samples are investigated.
The simulation results are also proposed to verify the correctness of the derived results.
American Psychological Association (APA)
Li, Bing-Zhao& Xu, Tian-Zhou. 2012. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029603
Modern Language Association (MLA)
Li, Bing-Zhao& Xu, Tian-Zhou. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029603
American Medical Association (AMA)
Li, Bing-Zhao& Xu, Tian-Zhou. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029603