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Recovery of Sparse Positive Signals on the Sphere from Low Resolution Measurements
- Publication Year :
- 2015
-
Abstract
- This letter considers the problem of recovering a positive stream of Diracs on a sphere from its projection onto the space of low-degree spherical harmonics, namely, from its low-resolution version. We suggest recovering the Diracs via a tractable convex optimization problem. The resulting recovery error is proportional to the noise level and depends on the density of the Diracs. We validate the theory by numerical experiments.
- Subjects :
- Computer Science - Information Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1508.06262
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1109/LSP.2015.2485281