The Best Radar Ranging Pulse to Resolve Two Reflectors
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917920514244608 |
|---|---|
| author | Jordan, Andrew N. Howell, John C. Kempf, Achim Zhang, Shunxing White, Derek |
| author_facet | Jordan, Andrew N. Howell, John C. Kempf, Achim Zhang, Shunxing White, Derek |
| contents | Previous work established fundamental bounds on subwavelength resolution for the radar range resolution problem, called superradar [Phys. Rev. Appl. 20, 064046 (2023)]. In this work, we identify the optimal waveforms for distinguishing the range resolution between two reflectors of identical strength. We discuss both the unnormalized optimal waveform as well as the best square-integrable pulse, and their variants. Using orthogonal function theory, we give an explicit algorithm to optimize the wave pulse in finite time to have the best performance. We also explore range resolution estimation with unnormalized waveforms with multi-parameter methods to also independently estimate loss and time of arrival. These results are consistent with the earlier single parameter approach of range resolution only and give deeper insight into the ranging estimation problem. Experimental results are presented using radio pulse reflections inside coaxial cables, showing robust range resolution smaller than a tenth of the inverse bandedge, with uncertainties close to the derived Cramér-Rao bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Best Radar Ranging Pulse to Resolve Two Reflectors Jordan, Andrew N. Howell, John C. Kempf, Achim Zhang, Shunxing White, Derek Signal Processing Data Analysis, Statistics and Probability Optics Quantum Physics Previous work established fundamental bounds on subwavelength resolution for the radar range resolution problem, called superradar [Phys. Rev. Appl. 20, 064046 (2023)]. In this work, we identify the optimal waveforms for distinguishing the range resolution between two reflectors of identical strength. We discuss both the unnormalized optimal waveform as well as the best square-integrable pulse, and their variants. Using orthogonal function theory, we give an explicit algorithm to optimize the wave pulse in finite time to have the best performance. We also explore range resolution estimation with unnormalized waveforms with multi-parameter methods to also independently estimate loss and time of arrival. These results are consistent with the earlier single parameter approach of range resolution only and give deeper insight into the ranging estimation problem. Experimental results are presented using radio pulse reflections inside coaxial cables, showing robust range resolution smaller than a tenth of the inverse bandedge, with uncertainties close to the derived Cramér-Rao bound. |
| title | The Best Radar Ranging Pulse to Resolve Two Reflectors |
| topic | Signal Processing Data Analysis, Statistics and Probability Optics Quantum Physics |
| url | https://arxiv.org/abs/2405.09571 |