Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm

The work presented here is concerned with the antenna array design in collocated multiple-input multiple-output (MIMO) radars. After knowing the system requirements, the antenna array design problem is formulated as a standard polynomial factorization. In addition, an algorithm based on Newton-Schub...

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Main Authors: Shuainan Gu, Ke Li, Xiukun Ren, Na-e Zheng
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2016/4580479
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author Shuainan Gu
Ke Li
Xiukun Ren
Na-e Zheng
author_facet Shuainan Gu
Ke Li
Xiukun Ren
Na-e Zheng
author_sort Shuainan Gu
collection DOAJ
description The work presented here is concerned with the antenna array design in collocated multiple-input multiple-output (MIMO) radars. After knowing the system requirements, the antenna array design problem is formulated as a standard polynomial factorization. In addition, an algorithm based on Newton-Schubert-Kronecker (NSK) polynomial factorization is proposed. The algorithm contains three steps. First, linear factors are extracted by extended Vieta theorem. Then, undermined high-order factors are confirmed with Newton interpolation and certain high-order factors should be searched for within the undermined ones. Finally, the antenna array configurations are determined according to the result of polynomial factorization. Simulations confirm the wide use of the proposed algorithm in MIMO radar antenna array design.
format Article
id doaj-art-815602072e8f44db836ddd3eee53e962
institution Kabale University
issn 1687-5869
1687-5877
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-815602072e8f44db836ddd3eee53e9622025-02-03T01:32:16ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772016-01-01201610.1155/2016/45804794580479Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization AlgorithmShuainan Gu0Ke Li1Xiukun Ren2Na-e Zheng3China National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, ChinaChina National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, ChinaChina National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, ChinaChina National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, ChinaThe work presented here is concerned with the antenna array design in collocated multiple-input multiple-output (MIMO) radars. After knowing the system requirements, the antenna array design problem is formulated as a standard polynomial factorization. In addition, an algorithm based on Newton-Schubert-Kronecker (NSK) polynomial factorization is proposed. The algorithm contains three steps. First, linear factors are extracted by extended Vieta theorem. Then, undermined high-order factors are confirmed with Newton interpolation and certain high-order factors should be searched for within the undermined ones. Finally, the antenna array configurations are determined according to the result of polynomial factorization. Simulations confirm the wide use of the proposed algorithm in MIMO radar antenna array design.http://dx.doi.org/10.1155/2016/4580479
spellingShingle Shuainan Gu
Ke Li
Xiukun Ren
Na-e Zheng
Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
International Journal of Antennas and Propagation
title Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
title_full Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
title_fullStr Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
title_full_unstemmed Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
title_short Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm
title_sort antenna array design in mimo radar using nsk polynomial factorization algorithm
url http://dx.doi.org/10.1155/2016/4580479
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AT keli antennaarraydesigninmimoradarusingnskpolynomialfactorizationalgorithm
AT xiukunren antennaarraydesigninmimoradarusingnskpolynomialfactorizationalgorithm
AT naezheng antennaarraydesigninmimoradarusingnskpolynomialfactorizationalgorithm