Abstract
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.
Original language | American English |
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Title of host publication | 2020 28th European Signal Processing Conference (EUSIPCO) |
DOIs | |
State | Published - 2021 |
Externally published | Yes |
Keywords
- Short Time Fourier Transform (STFT) magnitude measurements
- coded diffraction patterns
- phase retrieval
- phaseless imaging
- spectogram inversion
EGS Disciplines
- Mathematics