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Mathematical Problems in Engineering
Volume 2018, Article ID 5454719, 9 pages
Research Article

Computationally Efficient 2D DOA Estimation for L-Shaped Array with Unknown Mutual Coupling

School of Electronic Engineering, Xidian University, Xi’an, Shaanxi 710071, China

Correspondence should be addressed to Yang-Yang Dong; moc.621@4012gnaygnaygnod

Received 9 November 2017; Revised 26 December 2017; Accepted 9 January 2018; Published 31 January 2018

Academic Editor: Raffaele Solimene

Copyright © 2018 Yang-Yang Dong and Xin Chang. 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.


Although L-shaped array can provide good angle estimation performance and is easy to implement, its two-dimensional (2D) direction-of-arrival (DOA) performance degrades greatly in the presence of mutual coupling. To deal with the mutual coupling effect, a novel 2D DOA estimation method for L-shaped array with low computational complexity is developed in this paper. First, we generalize the conventional mutual coupling model for L-shaped array and compensate the mutual coupling blindly via sacrificing a few sensors as auxiliary elements. Then we apply the propagator method twice to mitigate the effect of strong source signal correlation effect. Finally, the estimations of azimuth and elevation angles are achieved simultaneously without pair matching via the complex eigenvalue technique. Compared with the existing methods, the proposed method is computationally efficient without spectrum search or polynomial rooting and also has fine angle estimation performance for highly correlated source signals. Theoretical analysis and simulation results have demonstrated the effectiveness of the proposed method.