Gridless DOA Estimation and Root-MUSIC for Non-Uniform Linear Arrays

Wagner, Mark; Park, Yongsung; Gerstoft, Peter

doi:10.1109/tsp.2021.3068353

Cited by 89 publications

(39 citation statements)

References 73 publications

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“…IV. EXPERIMENTAL STUDIES In this section, simulations are presented to evaluate the performance of the developed scheme in comparison with the MUSIC, ESPRIT [15], Root-MUSIC [16] methods. As the most commonly used index, the root mean square error (RMSE) criterion [8] is used in the simulations.…”

Section: How To Determine An Optimal Noise Subspace?mentioning

confidence: 99%

Fast Direction of Arrival Estimation for Uniform Circular Arrays With a Virtual Signal Subspace

Quan

Bie

et al. 2021

IEEE Trans. Aerosp. Electron. Syst.

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Section: How To Determine An Optimal Noise Subspace?mentioning

confidence: 99%

Fast Direction of Arrival Estimation for Uniform Circular Arrays With a Virtual Signal Subspace

Quan

Bie

et al. 2021

IEEE Trans. Aerosp. Electron. Syst.

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“…. , K, are recovered by the Vandermonde decomposition (5) for the rank-K PSD Toeplitz matrix R. [5,6,8] The Vandermonde decomposition is computed efficiently via root-MUSIC [26]:…”

Section: Doa Retrievalmentioning

confidence: 99%

“…AP based on ANM has been applied to gridless CS for DOA estimation. [25,26] We propose AP-based GLS for gridless CS for DOA estimation. GLS reconstructs a DOA-dependent SCM matrix, which is a Toeplitz-structured low rank matrix and has a PSD matrix in its constraint.…”

Section: Introductionmentioning

confidence: 99%

Alternating Projections Gridless Covariance-Based Estimation For DOA

Park

Gerstoft

2021

ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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We present a gridless sparse iterative covariance-based estimation method based on alternating projections for directionof-arrival (DOA) estimation. The gridless DOA estimation is formulated in the reconstruction of Toeplitz-structured low rank matrix, and is solved efficiently with alternating projections. The method improves resolution by achieving sparsity, deals with single-snapshot data and coherent arrivals, and, with co-prime arrays, estimates more DOAs than the number of sensors. We evaluate the proposed method using simulation results focusing on co-prime arrays.

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“…The direction of arrival (DOA) estimation problem has been studied for decades [1,2]. Generally speaking, existing DOA estimation methods can be roughly classified into the Fourier transformation (FT) based methods and the super-resolution methods.…”

Section: Introductionmentioning

confidence: 99%

Efficient DOA Estimation Method for Reconfigurable Intelligent Surfaces Aided UAV Swarm

Chen,

Zheng

et al. 2022

Preprint

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The conventional direction of arrival (DOA) estimation methods are performed with multiple receiving channels. In this paper, a changeling DOA estimation problem is addressed in a different scenario with only one full-functional receiving channel. A new unmanned aerial vehicle (UAV) swarm system using multiple lifted reconfigurable intelligent surface (RIS) is proposed for the DOA estimation. The UAV movement degrades the DOA estimation performance significantly, and the existing atomic norm minimization (ANM) methods cannot be used in the scenario with array perturbation. Specifically, considering the position perturbation of UAVs, a new atomic norm-based DOA estimation method is proposed, where an atomic norm is defined with the parameter of the position perturbation. Then, a customized semi-definite programming (SDP) method is derived to solve the atomic norm-based method, where different from the traditional SDP method, an additional transforming matrix is formulated. Moreover, a gradient descent method is applied to refine the estimated DOA and the position perturbation further. Simulation results show that the proposed method achieves much better DOA estimation performance in the RIS-aided UAV swarm system with only one receiving channel than various benchmark schemes.

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Gridless DOA Estimation and Root-MUSIC for Non-Uniform Linear Arrays

Cited by 89 publications

References 73 publications

Fast Direction of Arrival Estimation for Uniform Circular Arrays With a Virtual Signal Subspace

Fast Direction of Arrival Estimation for Uniform Circular Arrays With a Virtual Signal Subspace

Alternating Projections Gridless Covariance-Based Estimation For DOA

Efficient DOA Estimation Method for Reconfigurable Intelligent Surfaces Aided UAV Swarm

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