Gabor frame bound optimizations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916706552643584 |
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| author | Faulhuber, Markus Shafkulovska, Irina |
| author_facet | Faulhuber, Markus Shafkulovska, Irina |
| contents | We study sharp frame bounds of Gabor systems over rectangular lattices for different windows and integer oversampling rate. In some cases we obtain optimality results for the square lattice, while in other cases the lattices optimizing the frame bounds and the condition number are rectangular lattices which are different for the respective quantities. Also, in some cases optimal lattices do not exist at all and a degenerated system is optimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_02917 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Gabor frame bound optimizations Faulhuber, Markus Shafkulovska, Irina Functional Analysis Classical Analysis and ODEs primary: 42C15, secondary: 26A06, 33B10 We study sharp frame bounds of Gabor systems over rectangular lattices for different windows and integer oversampling rate. In some cases we obtain optimality results for the square lattice, while in other cases the lattices optimizing the frame bounds and the condition number are rectangular lattices which are different for the respective quantities. Also, in some cases optimal lattices do not exist at all and a degenerated system is optimal. |
| title | Gabor frame bound optimizations |
| topic | Functional Analysis Classical Analysis and ODEs primary: 42C15, secondary: 26A06, 33B10 |
| url | https://arxiv.org/abs/2204.02917 |