Sampling Density for Gabor Phase Retrieval
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909933093519360 |
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| author | Chen, Ting Lu, Hanwen Sun, Wenchang |
| author_facet | Chen, Ting Lu, Hanwen Sun, Wenchang |
| contents | Gabor phase retrieval stands for recovering a square integrable function up to a global phase from absolute values of its Gabor transform. In this paper, we study Gabor phase retrieval from discrete samples. We consider three types of sampling sequences, which include square root lattices, square root sequences on two intersecting lines and on three parallel lines respectively. In all cases we give the optimal sampling density for a sequence to do Gabor phase retrieval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sampling Density for Gabor Phase Retrieval Chen, Ting Lu, Hanwen Sun, Wenchang Classical Analysis and ODEs 94A20 Gabor phase retrieval stands for recovering a square integrable function up to a global phase from absolute values of its Gabor transform. In this paper, we study Gabor phase retrieval from discrete samples. We consider three types of sampling sequences, which include square root lattices, square root sequences on two intersecting lines and on three parallel lines respectively. In all cases we give the optimal sampling density for a sequence to do Gabor phase retrieval. |
| title | Sampling Density for Gabor Phase Retrieval |
| topic | Classical Analysis and ODEs 94A20 |
| url | https://arxiv.org/abs/2511.13500 |