Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction

Jian-Feng Cai; Xiaobo Qu; Weiyu Xu; Gui-Bo Ye

doi:10.1016/j.acha.2016.02.003

Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction

Jian-Feng Cai, Xiaobo Qu, Weiyu Xu, Gui-Bo Ye

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

Abstract

This paper explores robust recovery of a superposition of R distinct complex exponential functions with or without damping factors from a few random Gaussian projections. We assume that the signal of interest is of 2N−1 dimensions and R

Original language	English (US)
Pages (from-to)	470-490
Number of pages	21
Journal	Applied and Computational Harmonic Analysis
Volume	41
Issue number	2
DOIs	https://doi.org/10.1016/j.acha.2016.02.003
State	Published - Sep 2016
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-04-02
Acknowledged KAUST grant number(s): OCRF-2014-CRG-3
Acknowledgements: The work of this author is supported by Simons Foundation 318608, Iowa Energy Center OG-15-001, KAUST OCRF-2014-CRG-3, and NIH 1R01EB020665-01.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.acha.2016.02.003

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title = "Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction",

abstract = "This paper explores robust recovery of a superposition of R distinct complex exponential functions with or without damping factors from a few random Gaussian projections. We assume that the signal of interest is of 2N−1 dimensions and R",

author = "Jian-Feng Cai and Xiaobo Qu and Weiyu Xu and Gui-Bo Ye",

note = "KAUST Repository Item: Exported on 2021-04-02 Acknowledged KAUST grant number(s): OCRF-2014-CRG-3 Acknowledgements: The work of this author is supported by Simons Foundation 318608, Iowa Energy Center OG-15-001, KAUST OCRF-2014-CRG-3, and NIH 1R01EB020665-01. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2016",

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doi = "10.1016/j.acha.2016.02.003",

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AU - Cai, Jian-Feng

AU - Qu, Xiaobo

AU - Xu, Weiyu

AU - Ye, Gui-Bo

N1 - KAUST Repository Item: Exported on 2021-04-02 Acknowledged KAUST grant number(s): OCRF-2014-CRG-3 Acknowledgements: The work of this author is supported by Simons Foundation 318608, Iowa Energy Center OG-15-001, KAUST OCRF-2014-CRG-3, and NIH 1R01EB020665-01. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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N2 - This paper explores robust recovery of a superposition of R distinct complex exponential functions with or without damping factors from a few random Gaussian projections. We assume that the signal of interest is of 2N−1 dimensions and R

AB - This paper explores robust recovery of a superposition of R distinct complex exponential functions with or without damping factors from a few random Gaussian projections. We assume that the signal of interest is of 2N−1 dimensions and R

UR - http://hdl.handle.net/10754/668482

UR - https://linkinghub.elsevier.com/retrieve/pii/S1063520316000117

UR - http://www.scopus.com/inward/record.url?scp=84959271519&partnerID=8YFLogxK

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DO - 10.1016/j.acha.2016.02.003

M3 - Article

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SP - 470

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JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 2

ER -

Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction

Abstract

Bibliographical note

ASJC Scopus subject areas

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