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International Journal of Antennas and Propagation
Volume 2016, Article ID 4580479, 10 pages
Research Article

Antenna Array Design in MIMO Radar Using NSK Polynomial Factorization Algorithm

China National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China

Received 15 September 2015; Revised 9 December 2015; Accepted 17 December 2015

Academic Editor: Ahmed A. Kishk

Copyright © 2016 Shuainan Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.