Sum/Difference Pattern Synthesis With Dynamic Range Ratio Control for Arbitrary Arrays

This article proposes a method which generates a set of weights to synthesize sum or difference pattern with precisely controlled sidelobe level (SLL), null, and dynamic range ratio (DRR) for arbitrary arrays. Our pattern synthesis approach reduces mutual coupling (MC) between the neighboring elemen...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 70; no. 3; pp. 1940 - 1953
Main Authors Fan, Xuhui, Liang, Junli, Jing, Yang, So, H. C., Geng, Qiang, Zhao, Xiaozhe
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Antenna arrays
Arbitrary antenna array
Arrays
Design optimization
difference pattern
Dynamic range
dynamic range ratio (DRR)
Linear antenna arrays
Linear programming
Microstrip antenna arrays
Mutual coupling
Network design
nonconvex optimization
null
Optimization
Radar
Sidelobes
sum pattern
Synthesis
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Summary:This article proposes a method which generates a set of weights to synthesize sum or difference pattern with precisely controlled sidelobe level (SLL), null, and dynamic range ratio (DRR) for arbitrary arrays. Our pattern synthesis approach reduces mutual coupling (MC) between the neighboring elements and complexity of the feeding network design. However, the formulated optimization problem is nonconvex due to the nonconvex objective function and fractional DRR constraint. To tackle it, we first introduce two sets of auxiliary variables: one for DRR constraint and the other for sidelobe and null constraints. By doing so, we then decompose the original optimization problem into three sets of subproblems characterized by the auxiliary variables and weight variables. To facilitate the subproblem with weight variables reaching its optimum values, we derive an appropriate range of step size. Finally, we iteratively solve these subproblems to obtain the solution to the original problem. Extensive experiments employing non-equispaced linear and rectangular arrays, concentric ring array, and cylinder array, are implemented to demonstrate that the developed approach can accurately control SLLs, null and DRR for arbitrary arrays.
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content type line 14
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2021.3119107