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International Journal of Antennas and Propagation
Volume 2016 (2016), Article ID 5951717, 6 pages
Research Article

A FPC-ROOT Algorithm for 2D-DOA Estimation in Sparse Array

1Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
2China Shipbuilding 724 Research Institutions, Nanjing, Jiangsu 210003, China

Received 24 December 2015; Revised 11 March 2016; Accepted 22 March 2016

Academic Editor: Jeich Mar

Copyright © 2016 Wenhao Zeng 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.


To improve the performance of two-dimensional direction-of-arrival (2D DOA) estimation in sparse array, this paper presents a Fixed Point Continuation Polynomial Roots (FPC-ROOT) algorithm. Firstly, a signal model for DOA estimation is established based on matrix completion and it can be proved that the proposed model meets Null Space Property (NSP). Secondly, left and right singular vectors of received signals matrix are achieved using the matrix completion algorithm. Finally, 2D DOA estimation can be acquired through solving the polynomial roots. The proposed algorithm can achieve high accuracy of 2D DOA estimation in sparse array, without solving autocorrelation matrix of received signals and scanning of two-dimensional spectral peak. Besides, it decreases the number of antennas and lowers computational complexity and meanwhile avoids the angle ambiguity problem. Computer simulations demonstrate that the proposed FPC-ROOT algorithm can obtain the 2D DOA estimation precisely in sparse array.