Variable Bandwidth via Wilson bases
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914802876547072 |
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| author | Andreolli, Beatrice Gröchenig, Karlheinz |
| author_facet | Andreolli, Beatrice Gröchenig, Karlheinz |
| contents | We introduce a new concept of variable bandwidth that is based on the truncation of Wilson expansions. For this model we derive both (nonuniform) sampling theorems, the complete reconstruction of $f$ from its samples, and necessary density conditions for sampling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17290 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Variable Bandwidth via Wilson bases Andreolli, Beatrice Gröchenig, Karlheinz Functional Analysis 41A15, 42C15, 42C40, 46B15, 46E22, 94A20 We introduce a new concept of variable bandwidth that is based on the truncation of Wilson expansions. For this model we derive both (nonuniform) sampling theorems, the complete reconstruction of $f$ from its samples, and necessary density conditions for sampling. |
| title | Variable Bandwidth via Wilson bases |
| topic | Functional Analysis 41A15, 42C15, 42C40, 46B15, 46E22, 94A20 |
| url | https://arxiv.org/abs/2305.17290 |