DocumentCode :
2985694
Title :
Large Array Beamforming via Semidefinite Programming
Author :
Hoang, H.G. ; Tuan, H.D. ; Vo, B.
Author_Institution :
Sch. of Electr. Eng. & Telecommun., New South Wales Univ., Sydney, NSW
fYear :
2006
fDate :
Aug. 2006
Firstpage :
857
Lastpage :
862
Abstract :
Bounding the sidelobe and mainlobe levels of an array with complex weights is attractive in that it allows direct control of the radiation pattern. In this paper we propose an efficient beamforming technique for synthesizing the patterns of large arrays with bound constraints on the sidelobe and mainlobe levels. It is shown that the pattern synthesis problem can be posed as a convex semi-infinite programme (SIP) which is then turned into a semidefinite programme (SDP) via a novel linear matrix inequality (LMI) characterization of semi-infinite trigonometric polynomial constraints. In contrast to existing SDP formulations which require a large number of additional variables, our SDP representation only uses a minimal number of additional variables. This subsequently enables the design of patterns for arrays with several hundred elements to be efficiently achieved on a standard personal computer using existing SDP solvers
Keywords :
antenna arrays; antenna radiation patterns; linear matrix inequalities; mathematical programming; polynomials; convex semi-infinite programme; large array beamforming; linear matrix inequality; pattern synthesis problem; radiation pattern; semi-infinite trigonometric polynomial constraints; semidefinite programming; Antenna arrays; Antenna radiation patterns; Array signal processing; Constraint optimization; Directive antennas; Information technology; Linear antenna arrays; Linear matrix inequalities; Polynomials; Sensor arrays;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Signal Processing and Information Technology, 2006 IEEE International Symposium on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9753-3
Electronic_ISBN :
0-7803-9754-1
Type :
conf
DOI :
10.1109/ISSPIT.2006.270918
Filename :
4042360
Link To Document :
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