A Simple Introduction to Compressed Sensing/Sparse Recovery with Applications in Antenna Measurements

被引:47
作者
Migliore, Marco Donald [1 ]
机构
[1] Univ Cassino & Lazio Meridionale, DIEI, I-03043 Cassino, Italy
关键词
Compressed sensing; sampling methods; antenna measurements; interpolation; SIGNAL RECOVERY; ARRAY DIAGNOSIS; SPARSITY;
D O I
10.1109/MAP.2014.6837061
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
The aim of this tutorial paper is to introduce the compressed sensing/sparse recovery theory and its usefulness in practical electromagnetic problems. Examples allow an intuitive understanding of the theory at the basis of compressed sensing/sparse recovery techniques. Readers can also perform some numerical experiments in a simple way, using a MATLAB program that can be downloaded from the Web.
引用
收藏
页码:14 / 26
页数:13
相关论文
共 34 条
[1]   Low-Dimensional Models for Dimensionality Reduction and Signal Recovery: A Geometric Perspective [J].
Baraniuk, Richard G. ;
Cevher, Volkan ;
Wakin, Michael B. .
PROCEEDINGS OF THE IEEE, 2010, 98 (06) :959-971
[2]  
Bertero M., 1989, LINEAR INVERSE ILL P
[3]   Accurate diagnosis of conformal arrays from near-field data using the matrix method [J].
Bucci, OM ;
Migliore, MD ;
Panariello, G ;
Sgambato, P .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (03) :1114-1120
[4]   A new strategy to reduce the truncation error in near-field/far-field transformations [J].
Bucci, OM ;
D'Elia, G ;
Migliore, MD .
RADIO SCIENCE, 2000, 35 (01) :3-17
[5]   Decoding by linear programming [J].
Candes, EJ ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4203-4215
[6]   Sparsity and incoherence in compressive sampling [J].
Candes, Emmanuel ;
Romberg, Justin .
INVERSE PROBLEMS, 2007, 23 (03) :969-985
[7]   The restricted isometry property and its implications for compressed sensing [J].
Candes, Emmanuel J. .
COMPTES RENDUS MATHEMATIQUE, 2008, 346 (9-10) :589-592
[8]   Near-optimal signal recovery from random projections: Universal encoding strategies? [J].
Candes, Emmanuel J. ;
Tao, Terence .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (12) :5406-5425
[9]   Enhancing Sparsity by Reweighted l1 Minimization [J].
Candes, Emmanuel J. ;
Wakin, Michael B. ;
Boyd, Stephen P. .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2008, 14 (5-6) :877-905
[10]   Coherence, Compressive Sensing, and Random Sensor Arrays [J].
Carin, Lawrence ;
Liu, Dehong ;
Guo, Bin .
IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2011, 53 (04) :28-39