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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2014-05-14
Space-Borne Hexagonal Array Element Failure Correction Using Iterative Convex Optimiztion
By
Haiwei Song,

    Dr. Haiwei Song

    Shanghai Engineering Center for Microsatellites

    Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Science

    China

    Homepage

Guang Liang,

    Professor Guang Liang

    Chinese Academy of Science

    China

    Homepage

Wenbin Gong,

    Dr. Wenbin Gong

    Chinese Academy of Science

    China

    Homepage

Jinpei Yu

    Dr. Jinpei Yu

    Chinese Academy of Science

    China

    Homepage

Progress In Electromagnetics Research Letters, Vol. 46, 49-57, 2014
doi:10.2528/PIERL14030205 | Google Scholar

Abstract
Element failure distorts the main-lobe pattern and increases side-lobe power level, which is almost impossible to be corrected artificially for space-borne array. It might be solved by redistributing the excitations of the left functional elements; however, this is a nonlinear, non-convex, and NP-hard problem. In this paper, two effective approaches are proposed for failure correction, which is performed for space-borne hexagonal array using digital beamforming (DBF). One method, a modified real-code genetic algorithm (RCGA), is employed that uses reinsertion and worst-elimination schemes, but it pays the high computation complexity. The other approach based on convex optimization chooses the excitations synthesized by RCGA as the initial points, and skillfully transforms the non-convex problem into a sequence of second-order cone programming (SOCP) problem, which is solved iteratively by efficient optimization tool. Numerical results confirm that after the correction based on iterative convex optimization, the average root-mean-square error (RMSE) is reduced by 36%, and the relative side-lobe level (RSLL) is improved by 6.7 dB, with respect to the RCGA-based correction pattern.
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Citation
Haiwei Song, Guang Liang, Wenbin Gong, and Jinpei Yu, "Space-Borne Hexagonal Array Element Failure Correction Using Iterative Convex Optimiztion," Progress In Electromagnetics Research Letters, Vol. 46, 49-57, 2014.
doi:10.2528/PIERL14030205
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