The observational limit of wave packets with noisy measurements
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914663732609024 |
|---|---|
| author | Caro, Pedro Meroño, Cristóbal J. |
| author_facet | Caro, Pedro Meroño, Cristóbal J. |
| contents | The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian white noise. The authors show how wave packets can be used to partially recover the observable from the measurements almost surely. Furthermore, they point out the limitation of wave packets to recover the remaining part of the observable, and show how the errors hide the signal coming from the observable. The recovery results are based on an ergodicity property of the errors produced by wave packets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_11394 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The observational limit of wave packets with noisy measurements Caro, Pedro Meroño, Cristóbal J. Analysis of PDEs Mathematical Physics Probability The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian white noise. The authors show how wave packets can be used to partially recover the observable from the measurements almost surely. Furthermore, they point out the limitation of wave packets to recover the remaining part of the observable, and show how the errors hide the signal coming from the observable. The recovery results are based on an ergodicity property of the errors produced by wave packets. |
| title | The observational limit of wave packets with noisy measurements |
| topic | Analysis of PDEs Mathematical Physics Probability |
| url | https://arxiv.org/abs/1909.11394 |