A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array

This paper proposes a 2D pattern synthesis algorithm for cylindrical array. According to the geometric characteristic of cylinder, we can regard a cylindrical array as an equivalent linear array whose elements are identical circular subarrays. Therefore, the beam pattern can be obtained by the produ...

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Main Authors: Chao Liu, Zhizhong Ding, Xiaoping Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2013/352843
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author Chao Liu
Zhizhong Ding
Xiaoping Liu
author_facet Chao Liu
Zhizhong Ding
Xiaoping Liu
author_sort Chao Liu
collection DOAJ
description This paper proposes a 2D pattern synthesis algorithm for cylindrical array. According to the geometric characteristic of cylinder, we can regard a cylindrical array as an equivalent linear array whose elements are identical circular subarrays. Therefore, the beam pattern can be obtained by the product of the array factor of linear array and beam pattern of circular subarray. Then, the 2D beamforming can be realized by two 1D beamforming processes. We can prove that the complex excitation vector of a cylindrical array is the Kronecker product of linear array’s weight vector and circular array’s weight vector. By this algorithm of decomposition and reconstruction, the computational complexity of 2D beamforming could be significantly reduced. Finally, simulation results further illustrate the validity of the proposed method.
format Article
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institution Kabale University
issn 1687-5869
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-deee3df23b3e450cb8c59bc8512747162025-08-20T03:26:15ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772013-01-01201310.1155/2013/352843352843A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical ArrayChao Liu0Zhizhong Ding1Xiaoping Liu2Department of Communication Engineering, Hefei University of Technology, Hefei, Anhui 230009, ChinaDepartment of Communication Engineering, Hefei University of Technology, Hefei, Anhui 230009, ChinaDepartment of Communication Engineering, Hefei University of Technology, Hefei, Anhui 230009, ChinaThis paper proposes a 2D pattern synthesis algorithm for cylindrical array. According to the geometric characteristic of cylinder, we can regard a cylindrical array as an equivalent linear array whose elements are identical circular subarrays. Therefore, the beam pattern can be obtained by the product of the array factor of linear array and beam pattern of circular subarray. Then, the 2D beamforming can be realized by two 1D beamforming processes. We can prove that the complex excitation vector of a cylindrical array is the Kronecker product of linear array’s weight vector and circular array’s weight vector. By this algorithm of decomposition and reconstruction, the computational complexity of 2D beamforming could be significantly reduced. Finally, simulation results further illustrate the validity of the proposed method.http://dx.doi.org/10.1155/2013/352843
spellingShingle Chao Liu
Zhizhong Ding
Xiaoping Liu
A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
International Journal of Antennas and Propagation
title A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
title_full A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
title_fullStr A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
title_full_unstemmed A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
title_short A Low Complexity 2D Pattern Synthesis Algorithm for Cylindrical Array
title_sort low complexity 2d pattern synthesis algorithm for cylindrical array
url http://dx.doi.org/10.1155/2013/352843
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AT zhizhongding alowcomplexity2dpatternsynthesisalgorithmforcylindricalarray
AT xiaopingliu alowcomplexity2dpatternsynthesisalgorithmforcylindricalarray
AT chaoliu lowcomplexity2dpatternsynthesisalgorithmforcylindricalarray
AT zhizhongding lowcomplexity2dpatternsynthesisalgorithmforcylindricalarray
AT xiaopingliu lowcomplexity2dpatternsynthesisalgorithmforcylindricalarray