Polarization based phase retrieval for time-frequency structured measurements

Palina Salanevich; Gotz E. Pfander

doi:10.1109/SAMPTA.2015.7148877

Polarization based phase retrieval for time-frequency structured measurements

Palina Salanevich, Gotz E. Pfander

Jacobs University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We consider phaseless measurements in the case when the measurement frame is a Gabor frame, that is, the frame coefficients are of the form of masked Fourier coefficients where the masks are time shifts of the Gabor window. This makes measurements meaningful for applications, but at the same time preserves the flexibility of the frame-theoretic approach. We are going to present a recovery algorithm which requires a sufficiently small number of measurements; it is based on the idea of polarization, which is proposed by Alexeev, Bandeira, Fickus and Mixon [1], [4].

Original language	English
Title of host publication	2015 International Conference on Sampling Theory and Applications (SampTA)
Publisher	IEEE
Pages	187-191
Number of pages	5
ISBN (Electronic)	9781467373531
DOIs	https://doi.org/10.1109/SAMPTA.2015.7148877
Publication status	Published - 1 Jan 2015
Externally published	Yes
Event	11th International Conference on Sampling Theory and Applications, SampTA 2015 - Washington, United States Duration: 25 May 2015 → 29 May 2015

Conference

Conference	11th International Conference on Sampling Theory and Applications, SampTA 2015
Country/Territory	United States
City	Washington
Period	25/05/15 → 29/05/15

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10.1109/SAMPTA.2015.7148877

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title = "Polarization based phase retrieval for time-frequency structured measurements",

abstract = "We consider phaseless measurements in the case when the measurement frame is a Gabor frame, that is, the frame coefficients are of the form of masked Fourier coefficients where the masks are time shifts of the Gabor window. This makes measurements meaningful for applications, but at the same time preserves the flexibility of the frame-theoretic approach. We are going to present a recovery algorithm which requires a sufficiently small number of measurements; it is based on the idea of polarization, which is proposed by Alexeev, Bandeira, Fickus and Mixon [1], [4].",

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year = "2015",

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doi = "10.1109/SAMPTA.2015.7148877",

language = "English",

pages = "187--191",

booktitle = "2015 International Conference on Sampling Theory and Applications (SampTA)",

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note = "11th International Conference on Sampling Theory and Applications, SampTA 2015 ; Conference date: 25-05-2015 Through 29-05-2015",

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Salanevich, P & Pfander, GE 2015, Polarization based phase retrieval for time-frequency structured measurements. in 2015 International Conference on Sampling Theory and Applications (SampTA)., 7148877, IEEE, pp. 187-191, 11th International Conference on Sampling Theory and Applications, SampTA 2015, Washington, United States, 25/05/15. https://doi.org/10.1109/SAMPTA.2015.7148877

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AU - Pfander, Gotz E.

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N2 - We consider phaseless measurements in the case when the measurement frame is a Gabor frame, that is, the frame coefficients are of the form of masked Fourier coefficients where the masks are time shifts of the Gabor window. This makes measurements meaningful for applications, but at the same time preserves the flexibility of the frame-theoretic approach. We are going to present a recovery algorithm which requires a sufficiently small number of measurements; it is based on the idea of polarization, which is proposed by Alexeev, Bandeira, Fickus and Mixon [1], [4].

AB - We consider phaseless measurements in the case when the measurement frame is a Gabor frame, that is, the frame coefficients are of the form of masked Fourier coefficients where the masks are time shifts of the Gabor window. This makes measurements meaningful for applications, but at the same time preserves the flexibility of the frame-theoretic approach. We are going to present a recovery algorithm which requires a sufficiently small number of measurements; it is based on the idea of polarization, which is proposed by Alexeev, Bandeira, Fickus and Mixon [1], [4].

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DO - 10.1109/SAMPTA.2015.7148877

M3 - Conference contribution

AN - SCOPUS:84941028869

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BT - 2015 International Conference on Sampling Theory and Applications (SampTA)

PB - IEEE

T2 - 11th International Conference on Sampling Theory and Applications, SampTA 2015

Y2 - 25 May 2015 through 29 May 2015

ER -

Polarization based phase retrieval for time-frequency structured measurements

Abstract

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