Title
Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation.
Abstract
The focal underdetermined system solver (FOCUSS) is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient (BICG), termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing (SR-STAP), we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.
Year
DOI
Venue
2017
10.1007/s11432-015-1016-x
SCIENCE CHINA Information Sciences
Keywords
Field
DocType
focal underdetermined system solver (FOCUSS), sparse recovery (SR), bi-conjugate gradient (BICG), space-time adaptive processing (STAP), space-time clutter spectrum
Radar,Conjugate gradient method,Mathematical optimization,Underdetermined system,Clutter,Sparse approximation,Rate of convergence,Solver,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
60
8
1869-1919
Citations 
PageRank 
References 
1
0.35
20
Authors
5
Name
Order
Citations
PageRank
Gatai Bai110.35
Yue Wang2960143.63
Juan Zhao3212.94
Xia Bai431.06
Yue Wang512124.26