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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| Published in | IEEE transactions on antennas and propagation Vol. 70; no. 3; pp. 1940 - 1953 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-926X 1558-2221 |
| DOI | 10.1109/TAP.2021.3119107 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Fan, Xuhui Zhao, Xiaozhe Liang, Junli Jing, Yang Geng, Qiang So, H. C. |
| Author_xml | – sequence: 1 givenname: Xuhui surname: Fan fullname: Fan, Xuhui email: fanxuhui@mail.nwpu.edu.cn organization: School of Communication and Information Engineering, Xi'an University of Science and Technology, Xi'an, China – sequence: 2 givenname: Junli orcidid: 0000-0003-3306-2294 surname: Liang fullname: Liang, Junli email: liangjunli@nwpu.edu.cn organization: Research and Development Institute, Northwestern Polytechnical University, Shenzhen, China – sequence: 3 givenname: Yang surname: Jing fullname: Jing, Yang email: jingyang@mail.nwpu.edu.cn organization: School of Electronics and Information, Northwestern Polytechnical University, Xi'an, China – sequence: 4 givenname: H. C. orcidid: 0000-0001-8396-7898 surname: So fullname: So, H. C. email: hcso@ee.cityu.edu.hk organization: Department of Electrical Engineering, City University of Hong Kong, Hong Kong – sequence: 5 givenname: Qiang surname: Geng fullname: Geng, Qiang email: gengqiang1986@126.com organization: Beijing Huahang Radio Measurement Institute, Beijing, China – sequence: 6 givenname: Xiaozhe surname: Zhao fullname: Zhao, Xiaozhe email: xzzhao70601@sina.com organization: School of Electronics and Information, Northwestern Polytechnical University, Xi'an, China |
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| Snippet | This article proposes a method which generates a set of weights to synthesize sum or difference pattern with precisely controlled sidelobe level (SLL), null,... |
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| StartPage | 1940 |
| SubjectTerms | 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 |
| Title | Sum/Difference Pattern Synthesis With Dynamic Range Ratio Control for Arbitrary Arrays |
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