Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (4): 733-739.doi: 10.3969/j.issn.1001-506X.2020.04.01

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Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization

Juan SHI1(), Qunfei ZHANG1(), Linlin MAO2(), Wentao SHI1()   

  1. 1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
    2. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2019-04-02 Online:2020-03-28 Published:2020-03-28
  • Supported by:
    国家自然科学基金(61531015);国家自然科学基金(61501374);国家自然科学基金(61901467);国家重点研发计划(2016YFC1400203)

Abstract:

In the detective and estimation passive system, the traditional direction-of-arrival (DOA) estimation methods cannot work directly with deficient snapshots. To solve this problem, an improved wide band DOA estimation approach is developed by applying the atomic norm minimization (ANM) technique to the joint sub-band data. First, every sub-band data of the whole bandwidth focuses on the reference frequency band to obtain the new sub-band data. Next, the new data matrix is reconstructed by the joint sub-band data after rotation. Then, an optimal Toeplitz matrix is obtained from ANM in the form of semi-definite programming. The accurate signal subspace can be acquired by performing eigenvalue decomposition of the retrieval Toeplitz matrix, which avails to DOA estimation. Simulation results show that the proposed wide band DOA estimation method exhibits better performance in the case of deficient snapshots and can estimate coherent source targets.

Key words: wide band signal, direction-of-arrival (DOA) estimation, joint sub-band, atomic norm minimization (ANM), Toeplitz matrix

CLC Number: 

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