Weighted Block Sparse Recovery Algorithm for High Resolution DOA Estimation with Unknown Mutual Coupling

Meng, Dandan; Wang, Xianpeng; Huang, Mengxing; Shen, Chong; Bi, Guoan

doi:10.3390/electronics7100217

Cited by 10 publications

(15 citation statements)

References 29 publications

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“…It's known that unknown mutual coupling may appear between sensors in reality when spatial electromagnetic field of the closely spaced sensors interacts with each other. According to the introduction of [28], a banded complex symmetric Toeplitz matrix can be utilized to model the mutual coupling matrix (MCM). i.e.…”

Section: A Noncircular Augmented Data Model With Unknown Mutual Coupmentioning

confidence: 99%

“…Then the performance of those aforementioned algorithms would be considerably compromised due to disturbed array manifold. In order to deal with this problem, many calibrated methods have been designed [22]- [28]. In [22], with the help of auxiliary arrays, an ESPRIT-like method is exploited via considering the particular banded complex symmetric Toeplitz structure of mutual coupling matrix (MCM).…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the parameterized operation utilizing the entire array aperture is re-applied to SSR region [26]. Meanwhile, based on the above parameterization idea, two weighted block sparse recovery algorithms are further presented in data domain and correlation domain, respectively [27], [28]. While it can be observed that above methods only consider noncircular sources or unknown mutual coupling.…”

Section: Introductionmentioning

confidence: 99%

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DOA Estimation of Strictly Noncircular Sources in Wireless Sensor Array Network via Block Sparse Representation

Wang

et al. 2020

IEEE Access

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In this article, the direction of arrival estimation (DOA) of strictly noncircular sources with unknown mutual coupling is considered for wireless sensor array network (WSAN), and then a joint weighted block sparse recovery algorithm based on weighted subspace fitting (WSF) is proposed for DOA estimation.. In the proposed method, two block sparse representation models associated with the WSF principle are firstly constructed to remove the influence of unknown mutual coupling. Then, combining the advantages of noncircularity, a joint weighted block sparse recovery scheme is proposed to estimate DOA, in which the noncircular MUSIC-like (NC MUSIC-Like) spectrum function is utilized to form a weighted matrix for enhancing the solutions sparsity. Finally, the desired DOAs can be achieved with the help of the reconstructed block sparse matrix. Extensive experiments are simulated to verify that the proposed method can achieve superior estimation performance under the condition of unknown mutual coupling. INDEX TERMS DOA estimation, noncircular sources, unknown mutual coupling, weighted block sparse recovery, weighted subspace fitting.

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Section: A Noncircular Augmented Data Model With Unknown Mutual Coupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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DOA Estimation of Strictly Noncircular Sources in Wireless Sensor Array Network via Block Sparse Representation

Wang

et al. 2020

IEEE Access

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“…Because Q belonged to SO(3) (see (2)), the unknown vector ρ was then subject to equality constraints. The associated CCRB of ρ has form [28]:…”

Section: Ccrbmentioning

confidence: 99%

Accurate Rigid Body Localization Using DoA Measurements from a Single Base Station

Zhou

Yao²,

Yang

et al. 2019

Electronics

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Rigid body localization (RBL) is to simultaneously estimate the position and attitude of a rigid target. In this paper, we focus on the RBL problem using a single base station (BS) and direction of arrival (DoA) measurements. Several wireless sensors are mounted on the rigid body of interest, and their topology information is known a priori. The single BS measures the DoAs of wireless sensor signals and fuses them with the sensor topology information to estimate the position and orientation of the rigid body and achieve RBL. We propose two RBL methods, namely, the observation matching (OM) algorithm and topology matching (TM) algorithm with refinement. The emerging participatory searching algorithm (PSA) is adopted in both methods to solve the nonlinear matching problems. Simulations show that, compared with the existing approach, the OM method can achieve better RBL accuracy under high DoA noise levels, while the performance of the TM algorithm with refinement is closer to the constrained Cramér–Rao bound (CCRB) under low DoA noise levels.

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“…,n M (t)] T denotes the white noise vector, whose mean value is zero. D is the MCM, which can be given by a banded symmetric Toeplitz matrix [7]…”

mentioning

confidence: 99%

Reweighted nuclear norm minimisation for DOA estimation with unknown mutual coupling

et al. 2019

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A reweighted nuclear norm minimisation algorithm by considering the inherent rank sparsity of the submatrix block for direction‐of‐arrival (DOA) estimation with unknown mutual coupling in a uniform linear array (ULA) is proposed. A novel block overcomplete dictionary is first derived by parameterising the steering vector to avoid the unknown mutual coupling effect. Then, in order to take advantage of the inherent rank sparsity of the submatrix block, a reweighted nuclear norm minimisation algorithm is introduced, and the weighted matrix can be designed by the Capon spectrum for enhancing the sparsity of scheme. Finally, the DOA estimates can be obtained by the spatial spectrum of the reconstructed matrix. Simulation results verify that the proposed method has distinct advantages over state‐of‐the‐art methods.

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Weighted Block Sparse Recovery Algorithm for High Resolution DOA Estimation with Unknown Mutual Coupling

Cited by 10 publications

References 29 publications

DOA Estimation of Strictly Noncircular Sources in Wireless Sensor Array Network via Block Sparse Representation

DOA Estimation of Strictly Noncircular Sources in Wireless Sensor Array Network via Block Sparse Representation

Accurate Rigid Body Localization Using DoA Measurements from a Single Base Station

Reweighted nuclear norm minimisation for DOA estimation with unknown mutual coupling

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