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Off-Grid DoA Estimation on Non-Uniform Linear Array Using Constrained Hermitian Matrix

Author

Listed:
  • Hyeonjin Chung

    (Department of Electronics and Computer Engineering, Hanyang University, Seoul 04763, Korea)

  • Jeungmin Joo

    (Yuseong P.O. Box 35, Agency for Defense Development, Daejeon 34186, Korea)

  • Sunwoo Kim

    (Department of Electronics and Computer Engineering, Hanyang University, Seoul 04763, Korea)

Abstract

In this paper, an off-grid direction-of-arrival (DoA) estimation algorithm which can work on a non-uniform linear array (NULA) is proposed. The original semidefinite programming (SDP) representation of the atomic norm exploits a summation of one-rank matrices constructed by atoms, where the summation of one-rank matrices equals a Hermitian Toeplitz matrix when using the uniform linear array (ULA). On the other hand, when the antennas in the array are placed arbitrarily, the summation of one-rank matrices is a Hermitian matrix whose diagonal elements are equivalent. Motivated by this property, the proposed algorithm replaces the Hermitian Toeplitz matrix in the original SDP with the constrained Hermitian matrix. Additionally, when the antennas are placed symmetrically, the performance can be enforced by adding extra constraints to the Hermitian matrix. The simulation results show that the proposed algorithm achieves higher estimation accuracy and resolution than other algorithms on both array structures; i.e., the arbitrary array and the symmetric array.

Suggested Citation

  • Hyeonjin Chung & Jeungmin Joo & Sunwoo Kim, 2020. "Off-Grid DoA Estimation on Non-Uniform Linear Array Using Constrained Hermitian Matrix," Energies, MDPI, vol. 13(21), pages 1-12, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:21:p:5775-:d:439844
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    References listed on IDEAS

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    1. Jewon Eom & Hyowon Kim & Sang Hyun Lee & Sunwoo Kim, 2019. "DNN-Assisted Cooperative Localization in Vehicular Networks," Energies, MDPI, vol. 12(14), pages 1-10, July.
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    Cited by:

    1. Sangwoo Lee & Sunwoo Kim, 2022. "Guest Editorial: Special Issue on Designs and Algorithms of Localization in Vehicular Networks," Energies, MDPI, vol. 15(6), pages 1-3, March.

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