Compressed sensing for radio interferometry: spread spectrum imaging techniques

Yves Wiaux; Gilles Puy; Y. Boursier; Pierre Vandergheynst

doi:10.1117/12.824713

Compressed sensing for radio interferometry: spread spectrum imaging techniques

Yves Wiaux^*, Gilles Puy, Y. Boursier, Pierre Vandergheynst

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. We analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary, in terms of the achievable quality of reconstruction through the Basis Pursuit problem. The present manuscript represents a summary of recent work.

Original language	English
Title of host publication	Wavelets XIII
Editors	Vivek K Goyal, Manos Papadakis, Dimitri Van De Ville
Publisher	SPIE
Volume	7446
ISBN (Print)	9780819477361
DOIs	https://doi.org/10.1117/12.824713
Publication status	Published - 2009
Event	Wavelets XIII - San Diego, CA, United States Duration: 2 Aug 2009 → 4 Aug 2009

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	7446
ISSN (Print)	1996-756X

Conference

Conference	Wavelets XIII
Country/Territory	United States
City	San Diego, CA
Period	2/08/09 → 4/08/09

Keywords

Techniques: image processing
Techniques: interferometric

ASJC Scopus subject areas

Applied Mathematics
Computer Science Applications
Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1117/12.824713

Cite this

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title = "Compressed sensing for radio interferometry: spread spectrum imaging techniques",

abstract = "We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. We analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary, in terms of the achievable quality of reconstruction through the Basis Pursuit problem. The present manuscript represents a summary of recent work.",

keywords = "Techniques: image processing, Techniques: interferometric",

author = "Yves Wiaux and Gilles Puy and Y. Boursier and Pierre Vandergheynst",

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Wiaux, Y, Puy, G, Boursier, Y & Vandergheynst, P 2009, Compressed sensing for radio interferometry: spread spectrum imaging techniques. in VK Goyal, M Papadakis & D Van De Ville (eds), Wavelets XIII. vol. 7446, 74460J, Proceedings of SPIE - The International Society for Optical Engineering, vol. 7446, SPIE, Wavelets XIII, San Diego, CA, United States, 2/08/09. https://doi.org/10.1117/12.824713

Compressed sensing for radio interferometry: spread spectrum imaging techniques. / Wiaux, Yves; Puy, Gilles; Boursier, Y. et al.
Wavelets XIII. ed. / Vivek K Goyal; Manos Papadakis; Dimitri Van De Ville. Vol. 7446 SPIE, 2009. 74460J (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 7446).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Compressed sensing for radio interferometry

T2 - Wavelets XIII

AU - Wiaux, Yves

AU - Puy, Gilles

AU - Boursier, Y.

AU - Vandergheynst, Pierre

PY - 2009

Y1 - 2009

N2 - We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. We analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary, in terms of the achievable quality of reconstruction through the Basis Pursuit problem. The present manuscript represents a summary of recent work.

AB - We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. We analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary, in terms of the achievable quality of reconstruction through the Basis Pursuit problem. The present manuscript represents a summary of recent work.

KW - Techniques: image processing

KW - Techniques: interferometric

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U2 - 10.1117/12.824713

DO - 10.1117/12.824713

M3 - Conference contribution

AN - SCOPUS:70449501728

SN - 9780819477361

VL - 7446

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Wavelets XIII

A2 - Goyal, Vivek K

A2 - Papadakis, Manos

A2 - Van De Ville, Dimitri

PB - SPIE

Y2 - 2 August 2009 through 4 August 2009

ER -

Compressed sensing for radio interferometry: spread spectrum imaging techniques

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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