Report
Phaseless Reconstruction from Space-Time Samples
| العنوان: | Phaseless Reconstruction from Space-Time Samples |
|---|---|
| المؤلفون: | Aldroubi, Akram, krishtal, llya, Tang, Sui |
| سنة النشر: | 2017 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Computer Science - Information Theory, 94O20, 42C15, 46N99 |
| الوصف: | Phaseless reconstruction from space-time samples is a nonlinear problem of recovering a function $x$ in a Hilbert space $\mathcal{H}$ from the modulus of linear measurements $\{\lvert \langle x, \phi_i\rangle \rvert$, $ \ldots$, $\lvert \langle A^{L_i}x, \phi_i \rangle \rvert : i \in\mathscr I\}$, where $\{\phi_i; i \in\mathscr I\}\subset \mathcal{H}$ is a set of functionals on $\mathcal{H}$, and $A$ is a bounded operator on $\mathcal{H}$ that acts as an evolution operator. In this paper, we provide various sufficient or necessary conditions for solving this problem, which has connections to $X$-ray crystallography, the scattering transform, and deep learning. Comment: 23 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1706.05360 |
| رقم الانضمام: | edsarx.1706.05360 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |