Signal reconstruction from partial information of discrete linear canonical transform

Feng Zhang; Yang Hu; Ran Tao; Yue Wang

doi:10.1117/1.OE.53.3.034105

20 March 2014 Signal reconstruction from partial information of discrete linear canonical transform

Feng Zhang, Yang Hu, Ran Tao, Yue Wang

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Optical Engineering, Vol. 53, Issue 3, 034105 (March 2014). https://doi.org/10.1117/1.OE.53.3.034105

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.

CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Feng Zhang, Yang Hu, Ran Tao, and Yue Wang "Signal reconstruction from partial information of discrete linear canonical transform," Optical Engineering 53(3), 034105 (20 March 2014). https://doi.org/10.1117/1.OE.53.3.034105

Published: 20 March 2014

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Cited by 7 scholarly publications.

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KEYWORDS

Reconstruction algorithms

Fourier transforms

X-ray astronomy

Optical engineering

Astronomical imaging

Astronomy

Computer simulations

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