Global Phaseless Sampling in Spline Spaces With Arbitrary Knots
This paper addresses phaseless sampling on the real line for spaces generated by B-splines with arbitrary knots. We provide a characterization for a sequence of phaseless samples on the entire line and demonstrate that any non-separable signal can be recovered, up to a sign, with a specific sampling rate.
Authors
- Bei Liu (ORCID: https://orcid.org/0000-0002-2901-6108)
- Rui Li (ORCID: https://orcid.org/0000-0001-5689-1170)
- Qingyue Zhang (ORCID: https://orcid.org/0000-0003-2467-511X)
Institutions
- Tianjin University of Technology (CN)
Publication Details
- Journal
- IEEE Transactions on Information Theory
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1109/tit.2025.3566680
- Citations
- 1
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 1.33
Funders
- National Natural Science Foundation of China