Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm

Ariel Waremstein; Nezah Balal; Yosef Pinhasi

Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm

Ariel Waremstein, Nezah Balal, Yosef Pinhasi

Department of Electrical and Electronics Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Design of a non-uniform antenna array with reduced number of elements may be required for some applications. This paper introduces an iterative procedure, which is based on the Levenberg-Marquardt Algorithm (LMA), for reducing the number of elements in a linear array. By applying small perturbations on a given configuration, the algorithm finds the gradient that makes the total square error to be minimal, and then tests the new point in this direction until it converges to an optimal positions, amplitudes and phase, of array elements, regarding array factor requirements. Sensitivity of the resulted design to amplitude and frequency errors is examined. Simulation CST results of the theoretical design is also carried out, demonstrating the accuracy of the algorithm.

Original language	English
Title of host publication	13th European Conference on Antennas and Propagation, EuCAP 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9788890701887
State	Published - Mar 2019
Event	13th European Conference on Antennas and Propagation, EuCAP 2019 - Krakow, Poland Duration: 31 Mar 2019 → 5 Apr 2019

Publication series

Name	13th European Conference on Antennas and Propagation, EuCAP 2019

Conference

Conference	13th European Conference on Antennas and Propagation, EuCAP 2019
Country/Territory	Poland
City	Krakow
Period	31/03/19 → 5/04/19

Keywords

Antenna Array
Levenberg-Marquardt algorithm (LMA)
non-uniform antenna array
nonlinear curve-fit
optimization

Cite this

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title = "Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm",

abstract = "Design of a non-uniform antenna array with reduced number of elements may be required for some applications. This paper introduces an iterative procedure, which is based on the Levenberg-Marquardt Algorithm (LMA), for reducing the number of elements in a linear array. By applying small perturbations on a given configuration, the algorithm finds the gradient that makes the total square error to be minimal, and then tests the new point in this direction until it converges to an optimal positions, amplitudes and phase, of array elements, regarding array factor requirements. Sensitivity of the resulted design to amplitude and frequency errors is examined. Simulation CST results of the theoretical design is also carried out, demonstrating the accuracy of the algorithm.",

keywords = "Antenna Array, Levenberg-Marquardt algorithm (LMA), non-uniform antenna array, nonlinear curve-fit, optimization",

author = "Ariel Waremstein and Nezah Balal and Yosef Pinhasi",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Waremstein, A, Balal, N & Pinhasi, Y 2019, Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm. in 13th European Conference on Antennas and Propagation, EuCAP 2019., 8739885, 13th European Conference on Antennas and Propagation, EuCAP 2019, Institute of Electrical and Electronics Engineers Inc., 13th European Conference on Antennas and Propagation, EuCAP 2019, Krakow, Poland, 31/03/19.

Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm. / Waremstein, Ariel; Balal, Nezah ; Pinhasi, Yosef.
13th European Conference on Antennas and Propagation, EuCAP 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8739885 (13th European Conference on Antennas and Propagation, EuCAP 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Design of a non-uniform antenna array with reduced number of elements may be required for some applications. This paper introduces an iterative procedure, which is based on the Levenberg-Marquardt Algorithm (LMA), for reducing the number of elements in a linear array. By applying small perturbations on a given configuration, the algorithm finds the gradient that makes the total square error to be minimal, and then tests the new point in this direction until it converges to an optimal positions, amplitudes and phase, of array elements, regarding array factor requirements. Sensitivity of the resulted design to amplitude and frequency errors is examined. Simulation CST results of the theoretical design is also carried out, demonstrating the accuracy of the algorithm.

AB - Design of a non-uniform antenna array with reduced number of elements may be required for some applications. This paper introduces an iterative procedure, which is based on the Levenberg-Marquardt Algorithm (LMA), for reducing the number of elements in a linear array. By applying small perturbations on a given configuration, the algorithm finds the gradient that makes the total square error to be minimal, and then tests the new point in this direction until it converges to an optimal positions, amplitudes and phase, of array elements, regarding array factor requirements. Sensitivity of the resulted design to amplitude and frequency errors is examined. Simulation CST results of the theoretical design is also carried out, demonstrating the accuracy of the algorithm.

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Reducing Elements in Linear Antenna Array Using Levenberg-Marquardt Algorithm

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