Application of convex relaxation to array synthesis problems

被引：167
作者：
机构：
[1] IETR/University of Rennes i
来源：
Fuchs, B. (benjamin.fuchs@univ-rennes1.fr) | 1600年 / Institute of Electrical and Electronics Engineers Inc., United States卷 / 62期
关键词：
Antenna synthesis; array antennas; convex optimization; phase-only control; reconfigurable arrays; shaped beam;
D O I：
10.1109/TAP.2013.2290797
中图分类号：
学科分类号：
摘要：
A general procedure to solve efficiently non convex array synthesis problems is presented. It is based on the SemiDefinite Relaxation (SDR) technique. The way to properly relax the constraints in order to formulate the synthesis of shaped beams, phase-only arrays and reconfigurable arrays as semidefinite programming problems is detailed. These so-approximated array synthesis problems are then convex, easy to implement and can be efficiently solved using off-the-shelf numerical routines. The conditions under which the relaxed problems provide the optimal solution to the original non convex synthesis problems are specified. Various representative numerical comparisons with arrays designed by other approaches show the validity of the proposed method and illustrate its potentialities. © 2013 IEEE.
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页码：634 / 640
页数：6
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