Array pattern synthesis using semidefinite programming and a bisection method

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초록

In this paper, we propose an array pattern synthesis scheme using semidefinite programming (SDP) under array excitation power constraints. When an array pattern synthesis problem is formulated as an SDP problem, it is known that an additional rank-one constraint is generated inevitably and relaxed via semidefinite relaxation. If the solution to the relaxed SDP problem is not of rank one, then conventional SDP-based array pattern synthesis approaches fail to obtain optimal solutions because the additional rank-one constraint is not handled appropriately. To overcome this drawback, we adopted a bisection technique combined with a penalty function method. Numerical applications are presented to demonstrate the validity of the proposed scheme. © 2019 ETRI

키워드

array pattern synthesis; bisection method; semidefinite programming; semidefinite relaxation; Information science; Array pattern synthesis; Bisection method; Bisection technique; Numerical applications; Optimal solutions; Penalty function methods; Semi-definite programming; Semidefinite relaxation; Computer science
제목
Array pattern synthesis using semidefinite programming and a bisection method
저자
Lee, J.-H.; Choi, J.; Lee, W.-H.; Song, J.
DOI
10.4218/etrij.2018-0455
발행일
2019-10
유형
Article
저널명
ETRI Journal
권
41
호
5
페이지
619 ~ 625