Large scale 2D spectral compressed sensing in continuous domain

Jian Feng Cai; Weiyu Xu; Yang Yang

doi:10.1109/ICASSP.2017.7953289

Large scale 2D spectral compressed sensing in continuous domain

Jian Feng Cai, Weiyu Xu, Yang Yang

Department of Mathematics

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

8 Citations (Scopus)

Abstract

We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex sinusoids. We propose a semidefinite program for the 2D signal recovery problem. Our model is able to handle large scale 2D signals of size 500 × 500, whereas traditional approaches only handle signals of size around 20 × 20.

Original language	English
Title of host publication	2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5905-5909
Number of pages	5
ISBN (Electronic)	9781509041176
DOIs	https://doi.org/10.1109/ICASSP.2017.7953289
Publication status	Published - 16 Jun 2017
Event	2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States Duration: 5 Mar 2017 → 9 Mar 2017

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Conference

Conference	2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
Country/Territory	United States
City	New Orleans
Period	5/03/17 → 9/03/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Keywords

Compressed sensing
Toeplitz matrices
matrix completion
sparse recovery

Access to Document

10.1109/ICASSP.2017.7953289

Cite this

Cai, J. F., Xu, W., & Yang, Y. (2017). Large scale 2D spectral compressed sensing in continuous domain. In 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings (pp. 5905-5909). Article 7953289 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2017.7953289

Cai, Jian Feng ; Xu, Weiyu ; Yang, Yang. / Large scale 2D spectral compressed sensing in continuous domain. 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 5905-5909 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex sinusoids. We propose a semidefinite program for the 2D signal recovery problem. Our model is able to handle large scale 2D signals of size 500 × 500, whereas traditional approaches only handle signals of size around 20 × 20.",

keywords = "Compressed sensing, Toeplitz matrices, matrix completion, sparse recovery",

author = "Cai, \{Jian Feng\} and Weiyu Xu and Yang Yang",

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Cai, JF, Xu, W & Yang, Y 2017, Large scale 2D spectral compressed sensing in continuous domain. in 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings., 7953289, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 5905-5909, 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017, New Orleans, United States, 5/03/17. https://doi.org/10.1109/ICASSP.2017.7953289

Large scale 2D spectral compressed sensing in continuous domain. / Cai, Jian Feng; Xu, Weiyu; Yang, Yang.
2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 5905-5909 7953289 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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AU - Xu, Weiyu

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N2 - We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex sinusoids. We propose a semidefinite program for the 2D signal recovery problem. Our model is able to handle large scale 2D signals of size 500 × 500, whereas traditional approaches only handle signals of size around 20 × 20.

AB - We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex sinusoids. We propose a semidefinite program for the 2D signal recovery problem. Our model is able to handle large scale 2D signals of size 500 × 500, whereas traditional approaches only handle signals of size around 20 × 20.

KW - Compressed sensing

KW - Toeplitz matrices

KW - matrix completion

KW - sparse recovery

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DO - 10.1109/ICASSP.2017.7953289

M3 - Conference Paper published in a book

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

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EP - 5909

BT - 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017

Y2 - 5 March 2017 through 9 March 2017

ER -

Cai JF, Xu W, Yang Y. Large scale 2D spectral compressed sensing in continuous domain. In 2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 5905-5909. 7953289. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2017.7953289

Large scale 2D spectral compressed sensing in continuous domain

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