A Hybrid Method Based on the Iterative Fourier Transform and the Differential Evolution for Pattern Synthesis of Sparse Linear Arrays

A hybrid method that combines the iterative Fourier transform (IFT) and the algorithm of differential evolution (DE) is proposed to address the synthesis of low sidelobe sparse linear array (SLA) including many elements. Firstly, a thinned linear array (TLA) with the lattices spaced at half waveleng...

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Bibliographic Details
Published in:International journal of antennas and propagation Vol. 2018; no. 2018; pp. 1 - 7
Main Authors: Wang, Xin-Kuan, Wang, Gui-Bao
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects:
Biogeography
Evolutionary algorithms
Fourier transforms
Iterative methods
Lattices (mathematics)
Linear arrays
Propagation
Satellite communications
Sidelobe reduction
Sidelobes
Synthesis
ISSN:1687-5869, 1687-5877
Online Access:Get full text
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Summary:A hybrid method that combines the iterative Fourier transform (IFT) and the algorithm of differential evolution (DE) is proposed to address the synthesis of low sidelobe sparse linear array (SLA) including many elements. Firstly, a thinned linear array (TLA) with the lattices spaced at half wavelength is obtained by the IFT. Then, for the elements of the TLA whose left or right spacing are greater than half wavelength, their placements are selected as the candidates which will be further optimized by the DE, as long as the interelement spacing is not less than half wavelength. Consequently, the convergence pressure of DE is greatly alleviated for the reason that the selected elements only accounts for a small part of the total. Therefore, the SLA with improved sidelobe performance can be obtained at relative low hardware cost. Several numerical instances confirmed the effectiveness of the proposed method.
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ISSN:1687-5869
1687-5877
DOI:10.1155/2018/6309192