Compressed Remote Sensing of Sparse Objects

被引：90

作者：

Fannjiang, Albert C. ^{[1
]}

Strohmer, Thomas ^{[1
]}

Yan, Pengchong ^{[2
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

[2] CALTECH, Pasadena, CA 91125 USA

来源：

SIAM JOURNAL ON IMAGING SCIENCES | 2010年 / 3卷 / 03期

基金：

美国国家科学基金会;

关键词：

compressed sensing; incoherence; threshold aperture; Rayleigh resolution; random sensor array; UNCERTAINTY PRINCIPLES; SIGNAL RECOVERY; REPRESENTATIONS; STABILITY; TARGETS;

D O I：

10.1137/090757034

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The linear inverse source and scattering problems are studied from the perspective of compressed sensing. By introducing the sensor as well as target ensembles, the maximum number of recoverable targets is proved to be at least proportional to the number of measurement data modulo a log-square factor with overwhelming probability. Important contributions include the discoveries of the threshold aperture, consistent with the classical Rayleigh criterion, and the incoherence effect induced by random antenna locations. The predictions of theorems are confirmed by numerical simulations.

引用

页码：595 / 618

页数：24

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