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A provably accurate algorithm for recovering compactly supported smooth functions from spectrogram measurements.
In: (28th European Signal Processing Conference (EUSIPCO), 24-28 August 2020, Amsterdam, Netherlands). 2021. 970-974 ( ; 2021-January)
We present an algorithm which is closely related to direct phase retrieval methods that have been shown to work well empirically [1], [2] and prove that it is guaranteed to recover (up to a global phase) a large class of compactly supported smooth functions from their spectrogram measurements. As a result, we take a first step toward developing a new class of practical phaseless imaging algorithms capable of producing provably accurate images of a given sample after it is masked by just a few shifts of a fixed periodic grating.
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Publication type
Article: Conference contribution
Keywords
Coded Diffraction Patterns ; Phase Retrieval ; Phaseless Imaging ; Short Time Fourier Transform (stft) Magnitude Measurements ; Spectrogram Inversion
ISSN (print) / ISBN
2219-5491
Conference Title
28th European Signal Processing Conference (EUSIPCO)
Conference Date
24-28 August 2020
Conference Location
Amsterdam, Netherlands
Quellenangaben
Volume: 2021-January,
Pages: 970-974
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Institute(s)
Institute of Computational Biology (ICB)