Electronics and Electrical Engineering and Control

A direction finding algorithm based on smooth reconstruction sparse Bayesian learning

  • CHEN Lu ,
  • BI Daping ,
  • PAN Jifei
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  • 1. College of Electronic Countermeasures, National University of Defense Technology, Changsha 410073, China;
    2. Anhui Province Key Laboratory of Electronic Restriction, Hefei 230037, China

Received date: 2018-02-07

  Revised date: 2018-03-15

  Online published: 2018-03-14

Supported by

National Natural Science Foundation of China (61671453); Natural Science Foundation of Anhui Province (1608085MF123)

Abstract

The compact array structure in the two-level nested array is subject to mutual coupling effects. To solve this problem, a method for improving two different nested array structures (continuous translational nested array and spaced translational nested array structures) is proposed. By adjusting the position of the element of the original two-level nested array, two different translational nested array structures are formed. The difference coarrays of these two structures are both "no hole", and the degree of freedom and array sparsity are larger than those of the original nested array. The direction finding model for difference coarray of the nested array is a single measurement vector model; therefore, the sparse Bayesian learning direction finding algorithm has high complexity. In view of this problem, a restructure sparse Bayesian learning algorithm is proposed. In this algorithm, the single measurement vector model is changed into a multi-measurement vector model via spatial smoothing. Singular value decomposition is applied to the transformed observation matrix to reduce the dimensionality and the computational complexity. Simulation results show that when the signal-to-noise ratio and number of samples are the same, the proposed algorithm converges faster than Single Measurement Vector Sparse Bayesian Learning (SMV-SBL), and the accuracy of direction finding with the proposed algorithm is higher than that with SMV-SBL and spatial smoothing Multiple Signal classification (MUSIC) algorithm. In the presence of mutual coupling, the two translational nested arrays are less affected by the coupling than the original nested array.

Cite this article

CHEN Lu , BI Daping , PAN Jifei . A direction finding algorithm based on smooth reconstruction sparse Bayesian learning[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018 , 39(6) : 322087 -322087 . DOI: 10.7527/S1000-6893.2018.22087

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