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Phaseless super-resolution in the continuous domain

Cho, Myung and Thrampoulidis, Christos and Xu, Weiyu and Hassibi, Babak (2017) Phaseless super-resolution in the continuous domain. In: 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE , Piscataway, NJ, pp. 3814-3818. ISBN 978-1-5090-4117-6. https://resolver.caltech.edu/CaltechAUTHORS:20170621-163013430

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Abstract

Phaseless super-resolution refers to the problem of super-resolving a signal from only its low-frequency Fourier magnitude measurements. In this paper, we consider the phaseless super-resolution problem of recovering a sum of sparse Dirac delta functions which can be located anywhere in the continuous time-domain. For such signals in the continuous domain, we propose a novel Semidefinite Programming (SDP) based signal recovery method to achieve the phaseless super-resolution. This work extends the recent work of Jaganathan et al. [1], which considered phaseless super-resolution for discrete signals on the grid.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://doi.org/10.1109/ICASSP.2017.7952870DOIArticle
http://ieeexplore.ieee.org/document/7952870/PublisherArticle
Additional Information:© 2017 IEEE. The work of Weiyu Xu is supported by Simons Foundation 318608, KAUST OCRF-2014-CRG-3, NSF DMS-1418737 and NIH 1R01EB020665-01.
Funders:
Funding AgencyGrant Number
Simons Foundation318608
King Abdullah University of Science and Technology (KAUST)OCRF-2014-CRG-3
NSFDMS-1418737
NIH1R01EB020665-01
Subject Keywords:super-resolution, microscopy, phaseless, continuous domain, atomic norm
Record Number:CaltechAUTHORS:20170621-163013430
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170621-163013430
Official Citation:M. Cho, C. Thrampoulidis, W. Xu and B. Hassibi, "Phaseless super-resolution in the continuous domain," 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New Orleans, LA, USA, 2017, pp. 3814-3818. doi: 10.1109/ICASSP.2017.7952870
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78442
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:22 Jun 2017 01:21
Last Modified:03 Oct 2019 18:08

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