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Optical Engineering • Open Access

Signal reconstruction from partial information of discrete linear canonical transform
Author(s): Feng Zhang; Yang Hu; Ran Tao; Yue Wang

Paper Abstract

Signal reconstruction, especially for nonstationary signals, occurs in many applications such as optical astronomy, electron microscopy, and x-ray crystallography. As a potent tool to analyze the nonstationary signals, the linear canonical transform (LCT) describes the effect of quadratic phase systems on a wavefield and generalizes many optical transforms. The reconstruction of a finite discrete-time signal from the partial information of its discrete LCT and some known samples under some restrictions is presented. The partial information about its discrete LCT that we have assumed to be available is the discrete LCT phase alone or the discrete LCT magnitude alone. Besides, a reconstruction example is provided to verify the effectiveness of the proposed algorithm.

Paper Details

Date Published: 20 March 2014
PDF: 8 pages
Opt. Eng. 53(3) 034105 doi: 10.1117/1.OE.53.3.034105
Published in: Optical Engineering Volume 53, Issue 3
Show Author Affiliations
Feng Zhang, Beijing Institute of Technology (China)
Yang Hu, Beijing Institute of Technology (China)
Ran Tao, Beijing Institute of Technology (China)
Yue Wang, Beijing Institute of Technology (China)

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