Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918130853347328 |
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| author | Dong, Yali Liu, Rui Wang, Heying |
| author_facet | Dong, Yali Liu, Rui Wang, Heying |
| contents | In this paper, we focus on the problem of phase retrieval from intensity measurements of the Short-Time Linear Canonical Transform (STLCT). Specifically, we show that the STLCT allows for the unique recovery of any square-integrable function through phaseless STLCT sampling on rectangular square-root lattices. When turning to the uniform lattices, we establish counterexamples about the STLCT phase retrieval problems in L2(R). Nevertheless, for functions in band-limited function spaces, phase retrieval results on uniform lattices can still be accomplished. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval Dong, Yali Liu, Rui Wang, Heying Functional Analysis In this paper, we focus on the problem of phase retrieval from intensity measurements of the Short-Time Linear Canonical Transform (STLCT). Specifically, we show that the STLCT allows for the unique recovery of any square-integrable function through phaseless STLCT sampling on rectangular square-root lattices. When turning to the uniform lattices, we establish counterexamples about the STLCT phase retrieval problems in L2(R). Nevertheless, for functions in band-limited function spaces, phase retrieval results on uniform lattices can still be accomplished. |
| title | Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.18973 |