Recovery of Sparse Positive Signals on the Sphere from Low Resolution Measurements

被引：7

作者：

Bendory, Tamir ^{[1
]}

Eldar, Yonina C. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel

来源：

IEEE SIGNAL PROCESSING LETTERS | 2015年 / 22卷 / 12期

基金：

以色列科学基金会;

关键词：

Convex optimization; spherical harmonics; super-resolution;

D O I：

10.1109/LSP.2015.2485281

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：2383 / 2386

页数：4