NDLI: Sampling of bandlimited signals in the linear canonical transform domain

Content Provider	Springer Nature Link
Author	Wei, Deyun Ran, Qiwen Li, Yuanmin
Copyright Year	2011
Abstract	The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling of bandlimited signals in LCT domain. First, we propose the linear canonical series (LCS) based on the LCT, which is a generalized pattern of Fourier series. Moreover, the LCS inherits all the nice properties from the LCT. Especially, the Parseval’s relation is presented for the LCS, which is used to derive the sampling theorem of LCT. Then, utilizing the generalized form of Parseval’s relation for the complex LCS, we obtain the sampling expansion for bandlimited signals in LCT domain. The advantage of this reconstruction method is that the sampling expansion can be deduced directly not based on the Shannon theorem.
Starting Page	553
Ending Page	558
Page Count	6
File Format	PDF
ISSN	18631703
Journal	Signal, Image and Video Processing
Volume Number	7
Issue Number	3
e-ISSN	18631711
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-08-30
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear canonical transform Linear canonical series Bandlimited signal Sampling Signal, Image and Speech Processing Image Processing and Computer Vision Computer Imaging, Vision, Pattern Recognition and Graphics Multimedia Information Systems
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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