NDLI: On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform

Content Provider	IEEE Xplore Digital Library
Author	Ran Tao Bing-Zhao Li Yue Wang Aggrey, G.K.
Copyright Year	1991
Abstract	Sampling is one of the fundamental topics in the signal processing community. Theorems proposed under this topic form the bridge between the continuous-time signals and discrete-time signals. Several sampling theorems, which aid in the reconstruction of signals in the linear canonical transform (LCT) domain, have been proposed in the literature. However, two main practical issues associated with the sampling of the LCT still remain unresolved. The first one relates to the reconstruction of the original signal from nonuniform samples and the other issue relates to the fact that only a finite number of samples are available practically. Focusing on these issues, this paper seeks to address the above from the LCT point of view. First, we extend several previously developed theorems for signals band-limited in the Fourier domain to signals band-limited in the LCT domain, followed by the derivation of the reconstruction formulas for finite uniform or recurrent nonuniform sampling points associated with the LCT. Simulation results and the potential applications of the theorem are also proposed.
Sponsorship	IEEE Signal Processing Society
Starting Page	5454
Ending Page	5464
Page Count	11
File Size	664288
File Format	PDF
ISSN	1053587X
Volume Number	56
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Signal sampling Signal processing Fourier transforms Nonuniform sampling Discrete transforms Digital signal processing Holographic optical components Optical filters Bridges uniform sampling Chirp-periodicity linear canonical transform nonuniform sampling signal reconstruction chirp=periodicity
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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