Systems Engineering and Electronics ›› 2018, Vol. 40 ›› Issue (3): 498-503.doi: 10.3969/j.issn.1001-506X.2018.03.02

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Underdetermined direction of arrival estimation with nonuniform noise

WU Chenxi, ZHANG Min, WANG Keren#br#
  

  1. College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China
  • Online:2018-02-26 Published:2018-02-24

Abstract:

For the problem of underdetermined direction of arrival (DOA) estimation with nonuniform noise, a DOA estimation method is proposed with coprime array based on total variation norm minimization. Firstly, received data is constructed by using the property that the consecutive difference coarray is corresponding to the consecutive wavepath difference, and the array aperture is extended. Then, a joint optimization based on total variation norm is constructed, and add a total variation norm penalty on the sparsity of angle and L1 norm penalty on noise. Finally, the estimation of DOA is achieved by solving the corresponding convex optimization problem and polynomial rooting. Compared with the existing methods, the proposed method not only does not need the pre-whitening process but also considers a continuous range of possible DOA instead of discretizing this range onto a grid, off-grid effects can be neglected, thus precision and resolution of DOA estimation can be improved. Extensive simulations show that the effectiveness and superiority of the proposed method.

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