Padded Coprime Arrays for Improved DOA Estimation: Exploiting Hole Representation and Filling Strategies

Wang, Zheng; Zhang, Xiaofei; Wang, Yunfei; Shen, Jinqing; Champagne, Benoı̂t

doi:10.1109/tsp.2020.3013389

Cited by 86 publications

(43 citation statements)

References 37 publications

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“…As shown, when we ignore the third ULA, the remained subarrays can be regarded as an improved RECA. Therefore, the set holds for the following property [20].…”

Section: Array Designmentioning

confidence: 99%

“…Furthermore, the authors in [19] proposed a thinned co-prime array (TCA) by deleting the redundant physical sensors existed in the CCA, which enjoys the minimum number of sensor pairs with small separation. In [20], two extended coprime arrays, including sliding extended coprime array (SECA) and relocating extended coprime array (RECA), were designed to increase the number of consecutive lags and reduce the mutual coupling. Besides, by generating the hole filling strategy, the padded coprime array and the filled difference coarray-based coprime array (FDCCA) were developed for improved DOA estimation, both of which can greatly increase the number of consecutive lags with limited mutual coupling [21−23].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, inspired by the array structures in [19,20], we propose a high-order extended coprime array (HoECA) by introducing another ULA. To be special, the ULA has a flexible inter-element spacing (i.e., the integer ), which is coprime with that of the first ULA.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

High-order extended coprime array design for direction of arrival estimation

Shi

Wen

Liu

et al. 2021

J. of Syst. Eng. Electron.

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Nonuniform linear arrays, such as coprime array and nested array, have received great attentions because of the increased degrees of freedom (DOFs) and weakened mutual coupling. In this paper, inspired by the existing coprime array, we propose a high-order extended coprime array (HoECA) for improved direction of arrival (DOA) estimation. We first derive the closed-form expressions for the range of consecutive lags. Then, by changing the inter-element spacing of a uniform linear array (ULA), three cases are proposed and discussed. It is indicated that the HoECA can obtain the largest number of consecutive lags when the spacing takes the maximum value. Finally, by comparing it with the other sparse arrays, the optimized HoECA enjoys a larger number of consecutive lags with mitigating mutual coupling. Simulation results are shown to evaluate the superiority of HoECA over the others in terms of DOF, mutual coupling leakage and estimation accuracy.

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“…As shown, when we ignore the third ULA, the remained subarrays can be regarded as an improved RECA. Therefore, the set holds for the following property [20].…”

Section: Array Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

High-order extended coprime array design for direction of arrival estimation

Shi

Wen

Liu

et al. 2021

J. of Syst. Eng. Electron.

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show abstract

“…In the large-scale mobile wireless communication network [1,2], underdetermined direction of arrival (DOA) estimation [3][4][5][6] with high-accuracy is a key issue to solve for tacking and localizing sources. e optimized array configuration design is a prerequisite for accurate DOA estimation.…”

Section: Introductionmentioning

confidence: 99%

A Novel Sparse Array Configuration with Low Coarray Redundancy for DOA Estimation in Mobile Wireless Sensor Network

Zhao

Wan

2021

Mobile Information Systems

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For tacking and localizing sources in the mobile wireless sensor network, underdetermined direction of arrival (DOA) estimation with high-accuracy is a crucial issue. In this paper, a novel sparse array configuration is developed for accurate DOA estimation from the perspective of sum-difference coarray (SDCA). As compared with most of the existing sparse array configurations, the proposed array can effectively reduce the overlap between difference coarray (DCA) and sum coarray (SCA) and can achieve more consecutive degrees of freedom (DOF), more sources can be resolved accordingly. Additionally, the proposed array has hole-free DCA and SDCA. Then, the concept of coarray redundancy ratio (CRR) is introduced for evaluating the coarray overlap quantitatively and the closed-form CRR expressions of the proposed array are derived in detail. Based on the good properties of the proposed array, vectorized conjugate augmented MUSIC (VCAM) is adopted for underdetermined DOA estimation. The theoretical propositions and numerical simulations demonstrate the superior performance of the proposed array in terms of CRR, consecutive DOF, and DOA estimation accuracy.

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“…However, the small inter‐element spacing leads to severe mutual coupling, hence adversely impacts the DOA estimation performance. Furthermore, for a ULA with N array elements, it can resolve

N - 1

source signals at most by exploiting subspace‐based methods such as multiple signal classification (MUSIC) [7] and estimating signal parameter via rotational invariance techniques (ESPRIT) [8].…”

Section: Introductionmentioning

confidence: 99%

Improved unfolded coprime array subject to motion for DOA estimation: augmented consecutive synthetic difference co‐array

Zhang

et al. 2020

IET signal process.

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Direction of arrival (DOA) estimation using the improved unfolded coprime array (IUFCA) subject to array motion isdiscussed in this study. Unfolded coprime array (UFCA) consists of two uniform linear subarrays, and the two subarrays are arranged at different sides of theaxis, which leads to a large number of holes in the difference co‐array (DCA). With array motion and DCA synthesis,part of the holes can be filled, but there are still holes in the center which lead to the virtual arrays separated.By analyzing the hole positions in the synthetic DCA generated by UFCA motion, the authors improve the originalUFCA by relocating some physical elements, then the two dominantconsecutive DCA segments in the positive and negative sides can be connected. The expression of synthetic DCA is analyzed, and the closed‐form expression of theuniform degree of freedom (uDOF) subject to IUFCA motion is studied. Simulation results show that IUFCA motion can obtain a largenumber of uDOFs, which leads to better DOA estimation performance and more identifiable signals compared with existingcoprime array configurations.

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Padded Coprime Arrays for Improved DOA Estimation: Exploiting Hole Representation and Filling Strategies

Cited by 86 publications

References 37 publications

High-order extended coprime array design for direction of arrival estimation

High-order extended coprime array design for direction of arrival estimation

A Novel Sparse Array Configuration with Low Coarray Redundancy for DOA Estimation in Mobile Wireless Sensor Network

Improved unfolded coprime array subject to motion for DOA estimation: augmented consecutive synthetic difference co‐array

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