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| Name | Arun Suresh, On the Generic Crystallographic Phase Retrieval Problem, 2023.08.08 |
| Video Uploader | Video From CodEx Seminar |
| Upload Date | This Video Uploaded At 16-10-2023 21:10:20 |
| Video Discription | Speaker: Arun Suresh (University of Missouri) Title: On the Generic Crystallographic Phase Retrieval Problem Date: 08.08.2023 Abstract: We consider the problem of recovering a real signal from its power spectrum assuming that the signal is sparse with respect to a generic basis for R^N. Our main result is that if the sparsity level is ∼N/2 in this basis, then the generic sparse vector is uniquely determined up to sign from its power spectrum. We also prove that if the sparsity level is at most ∼N/4, then every sparse vector is determined up to sign from its power spectrum. Analogous results are also obtained for the power spectrum of a complex signal, which extend earlier results in the literature. |
| Category | Science & Technology |
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