Selecting Optimal Sampling Rate for Stable Super-Resolution
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929707338956800 |
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| author | Diab, Nuha |
| author_facet | Diab, Nuha |
| contents | We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike train signals, also known as the super-resolution (SR) problem. When the node separation falls below the Rayleigh limit, the problem becomes ill-conditioned. Admissible sampling rates, or decimation parameters, improve the conditioning of the SR problem, enabling more accurate recovery. We propose an efficient preprocessing method to identify the optimal sampling rate, significantly enhancing the performance of SR techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06673 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Selecting Optimal Sampling Rate for Stable Super-Resolution Diab, Nuha Numerical Analysis Information Theory 15A18, 42A70, 15A22 We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike train signals, also known as the super-resolution (SR) problem. When the node separation falls below the Rayleigh limit, the problem becomes ill-conditioned. Admissible sampling rates, or decimation parameters, improve the conditioning of the SR problem, enabling more accurate recovery. We propose an efficient preprocessing method to identify the optimal sampling rate, significantly enhancing the performance of SR techniques. |
| title | Selecting Optimal Sampling Rate for Stable Super-Resolution |
| topic | Numerical Analysis Information Theory 15A18, 42A70, 15A22 |
| url | https://arxiv.org/abs/2502.06673 |