Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio

In antenna array design, low dynamic range ratio (DRR) of excitation coefficients is important because it simplifies array’s feeding network and enables better control of mutual coupling. Optimization-based synthesis of pencil beams allows explicit control of DRR. However, incorporating DRR into an...

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Main Authors: Marko Matijascic, Maja Jurisic Bellotti, Mladen Vucic, Goran Molnar
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2022/3664607
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author Marko Matijascic
Maja Jurisic Bellotti
Mladen Vucic
Goran Molnar
author_facet Marko Matijascic
Maja Jurisic Bellotti
Mladen Vucic
Goran Molnar
author_sort Marko Matijascic
collection DOAJ
description In antenna array design, low dynamic range ratio (DRR) of excitation coefficients is important because it simplifies array’s feeding network and enables better control of mutual coupling. Optimization-based synthesis of pencil beams allows explicit control of DRR. However, incorporating DRR into an optimization problem leads to nonconvex constraints, making its solving challenging. In this paper, a framework for global optimization of linear pencil beams with constrained DRR is presented. By using this framework, the methods for synthesis of pencil beams with minimum sidelobe level and minimum sidelobe power are developed. Both methods utilize convex problems suitable for the synthesis of pencil beams whose coefficients’ signs are known in advance. By incorporating these problems into a branch and bound algorithm, the procedures for global optimizations are formed which systematically search the space of all coefficient signs. The method for minimization of sidelobe power is further analyzed in the context of beam efficiency. It is shown that this method can be utilized in an approximate and at the same time global design of pencil beam arrays with maximum beam efficiency and constrained DRR. Based on this approach, a method for the design of pencil beam arrays with minimum DRR and specified beam efficiency is proposed.
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series International Journal of Antennas and Propagation
spelling doaj-art-a01c40869e774505952c8428cee939f02025-02-03T05:57:54ZengWileyInternational Journal of Antennas and Propagation1687-58772022-01-01202210.1155/2022/3664607Optimum Synthesis of Pencil Beams with Constrained Dynamic Range RatioMarko Matijascic0Maja Jurisic Bellotti1Mladen Vucic2Goran Molnar3Ericsson Nikola Tesla d.dUniversity of Zagreb Faculty of Electrical Engineering and ComputingUniversity of Zagreb Faculty of Electrical Engineering and ComputingEricsson Nikola Tesla d.dIn antenna array design, low dynamic range ratio (DRR) of excitation coefficients is important because it simplifies array’s feeding network and enables better control of mutual coupling. Optimization-based synthesis of pencil beams allows explicit control of DRR. However, incorporating DRR into an optimization problem leads to nonconvex constraints, making its solving challenging. In this paper, a framework for global optimization of linear pencil beams with constrained DRR is presented. By using this framework, the methods for synthesis of pencil beams with minimum sidelobe level and minimum sidelobe power are developed. Both methods utilize convex problems suitable for the synthesis of pencil beams whose coefficients’ signs are known in advance. By incorporating these problems into a branch and bound algorithm, the procedures for global optimizations are formed which systematically search the space of all coefficient signs. The method for minimization of sidelobe power is further analyzed in the context of beam efficiency. It is shown that this method can be utilized in an approximate and at the same time global design of pencil beam arrays with maximum beam efficiency and constrained DRR. Based on this approach, a method for the design of pencil beam arrays with minimum DRR and specified beam efficiency is proposed.http://dx.doi.org/10.1155/2022/3664607
spellingShingle Marko Matijascic
Maja Jurisic Bellotti
Mladen Vucic
Goran Molnar
Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
International Journal of Antennas and Propagation
title Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
title_full Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
title_fullStr Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
title_full_unstemmed Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
title_short Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio
title_sort optimum synthesis of pencil beams with constrained dynamic range ratio
url http://dx.doi.org/10.1155/2022/3664607
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AT majajurisicbellotti optimumsynthesisofpencilbeamswithconstraineddynamicrangeratio
AT mladenvucic optimumsynthesisofpencilbeamswithconstraineddynamicrangeratio
AT goranmolnar optimumsynthesisofpencilbeamswithconstraineddynamicrangeratio