Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting
| Autor: | Merhi, Sami, Viswanathan, Aditya, Iwen, Mark |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A novel phase retrieval method, motivated by ptychographic imaging, is proposed for the approximate recovery of a compactly supported specimen function $f:\mathbb{R}\rightarrow\mathbb{C}$ from its continuous short time Fourier transform (STFT) spectrogram measurements. The method, partially inspired by the well known PhaseLift algorithm, is based on a lifted formulation of the infinite dimensional problem which is then later truncated for the sake of computation. Numerical experiments demonstrate the promise of the proposed approach. Comment: 2017 International Conference on Sampling Theory and Applications (SampTA2017) |
| Databáze: | arXiv |
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