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Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Direction of arrival estimation of non-Gaussian signals for nested arrays: Applying fourth-order difference co-array and the successive method

  • Ye, Changbo (College of Electronic and Information Engineering, Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics) ;
  • Chen, Weiyang (College of Electronic and Information Engineering, Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics) ;
  • Zhu, Beizuo (College of Electronic and Information Engineering, Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics) ;
  • Tang, Leiming (College of Electronic and Information Engineering, Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics)
  • Received : 2020.10.03
  • Accepted : 2021.04.08
  • Published : 2021.10.01
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Abstract

Herein, we estimate the direction of arrival (DOA) of non-Gaussian signals for nested arrays (NAs) by implementing the fourth-order difference co-array (FODC) and successive methods. In particular, considering the property of the fourth-order cumulant (FOC), we first construct the FODC of the NA, which can obtain O(N4) virtual elements using N physical sensors, whereas conventional FOC methods can only obtain O(N2) virtual elements. In addition, the closed-form expression of FODC is presented to verify the enhanced degrees of freedom (DOFs). Subsequently, we exploit the vectorized FOC (VFOC) matrix to match the FODC of the NA. Notably, the VFOC matrix is a single snapshot vector, and the initial DOA estimates can be obtained via the discrete Fourier transform method under the underdetermined correlation matrix condition, which utilizes the complete DOFs of the FODC. Finally, fine estimates are obtained through the spatial smoothing-Capon method with partial spectrum searching. Numerical simulation verifies the effectiveness and superiority of the proposed method.

Keywords

Acknowledgement

This work is funded by the National Natural Science Foundation of China, Grant Numbers 61971217, 61971218, and 61631020; the fund of Sonar Technology Key Laboratory (research on the theory and algorithm of signal processing for two-dimensional underwater acoustics coprime array); and the graduate innovative base (laboratory) open fund of Nanjing University of Aeronautics and Astronautics, Grant Number: kfjj20200421.

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