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

Hyeonjin Chung, Jeungmin Joo and Sunwoo Kim
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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

Energies, 2020, vol. 13, issue 21, 1-12

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.

Keywords: non-uniform linear array (NULA); off-grid direction-of-arrival (DoA) estimation; atomic norm minimization (ANM); continuous compressive sensing; super-resolution (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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