DOA Estimation for Sparse Array via Sparse Signal Reconstruction

被引:96
作者
Hu, Nan [1 ]
Ye, Zhongfu [1 ]
Xu, Xu [2 ]
Bao, Ming [3 ]
机构
[1] Univ Sci & Technol China, Hefei 230027, Anhui, Peoples R China
[2] Univ Sci & Technol China, Dept Elect Engn & Informat Sci, Hefei 230027, Anhui, Peoples R China
[3] Chinese Acad Sci, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
DEFINITE TOEPLITZ COMPLETION; LINEAR ANTENNA-ARRAYS; OF-ARRIVAL ESTIMATION; COVARIANCE; PERFORMANCE;
D O I
10.1109/TAES.2013.6494379
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
The problem of direction-of-arrival (DOA) estimation for sparse array is addressed. The perspective that DOA estimation in virtual array response model can be cast as the problem of sparse recovery is introduced. Two methods are proposed, based on different optimization problems, which are solvable using second-order cone (SOC) programming. Without the knowledge of the number of sources, the proposed methods yield superior performances, which are verified by numerical simulations.
引用
收藏
页码:760 / 773
页数:14
相关论文
共 29 条
[1]   Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays - part II: Partially augmentable arrays [J].
Abramovich, YI ;
Spencer, NK ;
Gorokhov, AY .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (06) :1502-1521
[2]   Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays - Part I: Fully augmentable arrays [J].
Abramovich, YI ;
Gray, DA ;
Gorokhov, AY ;
Spencer, NK .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (09) :2458-2471
[3]   Spatial Compressive Sensing for Direction-of-Arrival Estimation of Multiple Sources using Dynamic Sensor Arrays [J].
Bilik, I. .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2011, 47 (03) :1754-1769
[4]  
Boyd S., 2004, CONVEX OPTIMIZATION, VFirst, DOI DOI 10.1017/CBO9780511804441
[5]   Sparse solutions to linear inverse problems with multiple measurement vectors [J].
Cotter, SF ;
Rao, BD ;
Engan, K ;
Kreutz-Delgado, K .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (07) :2477-2488
[6]   APPLICATIONS OF CUMULANTS TO AWAY PROCESSING .1. APERTURE EXTENSION AND ARRAY CALIBRATION [J].
DOGAN, MC ;
MENDEL, JM .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (05) :1200-1216
[7]   On the application of the global matched filter to DOA estimation with uniform circular arrays [J].
Fuchs, JJ .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (04) :702-709
[8]   Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm [J].
Gorodnitsky, IF ;
Rao, BD .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (03) :600-616
[9]   THE UNIFYING ROLE OF THE COARRAY IN APERTURE SYNTHESIS FOR COHERENT AND INCOHERENT IMAGING [J].
HOCTOR, RT ;
KASSAM, SA .
PROCEEDINGS OF THE IEEE, 1990, 78 (04) :735-752
[10]   Direction-of-Arrival Estimation Using a Mixed l2,0 Norm Approximation [J].
Hyder, Md Mashud ;
Mahata, Kaushik .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (09) :4646-4655