Synthesis of Sparse Planar Arrays Using Matrix Mapping and Differential Evolution

This letter proposes a differential evolution (DE) with matrix mapping for sparse rectangular planar array synthesis technique with multiple constraints. The multiple constraints include the number of elements, the planar array aperture, and the minimum spacing of adjacent elements. By introducing a...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters Vol. 15; pp. 1905 - 1908
Main Authors: Liu, Heng, Zhao, Hongwei, Li, Weimei, Liu, Bo
Format: Journal Article
Language:English
Published: New York IEEE 2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithm design and analysis
Antenna arrays
Apertures
constraint optimization
differential evolution (DE) algorithm
Evolution
Linear antenna arrays
Mapping
Optimization
Planar arrays
planar sparse arrays
sidelobe level (SLL)
Sparse matrices
Synthesis
Transmission line matrix methods
ISSN:1536-1225, 1548-5757
Online Access:Get full text
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Summary:This letter proposes a differential evolution (DE) with matrix mapping for sparse rectangular planar array synthesis technique with multiple constraints. The multiple constraints include the number of elements, the planar array aperture, and the minimum spacing of adjacent elements. By introducing a novel matrix mapping between the element spacing and the variables of DE, the strong constrained optimization problem is transformed to a nonconstrained problem with only lower and upper limits, and the infeasible solutions are naturally avoided during the optimization process. The simulation results show the high efficiency and the robustness of the proposed method and indicate that our method can achieve better results than existing methods.
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ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2016.2542882