Fast compressive phase retrieval from Fourier measurements

Çaʇkan Yapar; Volker Pohl; Holger Boche

doi:10.1109/ICASSP.2015.7178575

Fast compressive phase retrieval from Fourier measurements

Çaʇkan Yapar, Volker Pohl, Holger Boche

Lehrstuhl für Theoretische Informationstechnik

Technische Universität München

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

7 Zitate (Scopus)

Abstract

This paper considers the problem of recovering a k-sparse, N-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very high probability whenever M ≥ 4k log₂(N/k) random Fourier intensity measurements are available. The proposed algorithm is comprised of two stages: An algebraic phase retrieval stage and a compressive sensing step subsequent to it. Simulation results are provided to demonstrate the applicability of the algorithm for noiseless and noisy scenarios.

Originalsprache	Englisch
Titel	2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings
Herausgeber (Verlag)	Institute of Electrical and Electronics Engineers Inc.
Seiten	3267-3271
Seitenumfang	5
ISBN (elektronisch)	9781467369978
DOIs	https://doi.org/10.1109/ICASSP.2015.7178575
Publikationsstatus	Veröffentlicht - 4 Aug. 2015
Veranstaltung	40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Brisbane, Australien Dauer: 19 Apr. 2014 → 24 Apr. 2014

Publikationsreihe

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Band	2015-August
ISSN (Print)	1520-6149

Konferenz

Konferenz	40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015
Land/Gebiet	Australien
Ort	Brisbane
Zeitraum	19/04/14 → 24/04/14

Zugriff auf Dokument

10.1109/ICASSP.2015.7178575

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Yapar, Ç., Pohl, V., & Boche, H. (2015). Fast compressive phase retrieval from Fourier measurements. in 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings (S. 3267-3271). Artikel 7178575 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Band 2015-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2015.7178575

Yapar, Çaʇkan ; Pohl, Volker ; Boche, Holger. / Fast compressive phase retrieval from Fourier measurements. 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. S. 3267-3271 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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title = "Fast compressive phase retrieval from Fourier measurements",

abstract = "This paper considers the problem of recovering a k-sparse, N-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very high probability whenever M ≥ 4k log2(N/k) random Fourier intensity measurements are available. The proposed algorithm is comprised of two stages: An algebraic phase retrieval stage and a compressive sensing step subsequent to it. Simulation results are provided to demonstrate the applicability of the algorithm for noiseless and noisy scenarios.",

keywords = "Fourier measurements, Phase retrieval, compressive sampling",

author = "{\c C}aʇkan Yapar and Volker Pohl and Holger Boche",

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language = "English",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

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booktitle = "2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings",

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Yapar, Ç, Pohl, V & Boche, H 2015, Fast compressive phase retrieval from Fourier measurements. in 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings., 7178575, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Bd. 2015-August, Institute of Electrical and Electronics Engineers Inc., S. 3267-3271, 40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015, Brisbane, Australien, 19/04/14. https://doi.org/10.1109/ICASSP.2015.7178575

Fast compressive phase retrieval from Fourier measurements. / Yapar, Çaʇkan; Pohl, Volker; Boche, Holger.
2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. S. 3267-3271 7178575 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Band 2015-August).

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

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T1 - Fast compressive phase retrieval from Fourier measurements

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AU - Pohl, Volker

AU - Boche, Holger

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N2 - This paper considers the problem of recovering a k-sparse, N-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very high probability whenever M ≥ 4k log2(N/k) random Fourier intensity measurements are available. The proposed algorithm is comprised of two stages: An algebraic phase retrieval stage and a compressive sensing step subsequent to it. Simulation results are provided to demonstrate the applicability of the algorithm for noiseless and noisy scenarios.

AB - This paper considers the problem of recovering a k-sparse, N-dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal recovery up to a global phase factor is possible with very high probability whenever M ≥ 4k log2(N/k) random Fourier intensity measurements are available. The proposed algorithm is comprised of two stages: An algebraic phase retrieval stage and a compressive sensing step subsequent to it. Simulation results are provided to demonstrate the applicability of the algorithm for noiseless and noisy scenarios.

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KW - compressive sampling

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U2 - 10.1109/ICASSP.2015.7178575

DO - 10.1109/ICASSP.2015.7178575

M3 - Conference contribution

AN - SCOPUS:84946020427

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

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BT - 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

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Yapar Ç, Pohl V, Boche H. Fast compressive phase retrieval from Fourier measurements. in 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. S. 3267-3271. 7178575. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2015.7178575

Fast compressive phase retrieval from Fourier measurements

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