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Open AccessArticle

On Spatial Smoothing for DOA Estimation of 2D Coherently Distributed Sources with Double Parallel Linear Arrays

by 1,*,†, 2,†, 3,*, 1 and 1
1
School of Automation, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
2
Equipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, China
3
Science and Technology on Combustion, Thermal-Structure and Internal Flow Laboratory, Northwestern Polytechnical University, Xi’an 710051, Shaanxi, China
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Electronics 2019, 8(3), 354; https://doi.org/10.3390/electronics8030354
Received: 17 February 2019 / Revised: 19 March 2019 / Accepted: 20 March 2019 / Published: 23 March 2019
(This article belongs to the Special Issue Recent Advances in Array Antenna and Array Signal Processing)
Considering coherently-distributed (CD) sources are correlated with each other, a two-dimensional (2D) coherent CD source model is proposed according to the characteristics of an underwater acoustic channel. Under the assumption of small angular spreads, rotational invariance relationships within and between subarrays of double parallel linear arrays are derived. As the covariance matrix of spatial smoothing obtained from receive vectors expressed by rotational invariance relationships is proven to be full rank, decoherence of the 2D coherent CD source is proposed by spatial smoothing of the double parallel linear arrays. A propagator method base on spatial smoothing (SS-PM) and estimation of signal parameters via rotational invariance techniques (ESPRIT) base on spatial smoothing (SS-ESPRIT) method established by covariance matrix of spatial smoothing are proposed. The proposed methods do not require peak-searching, angles matching and information of deterministic angular signal distribution function. Simulations are conducted to verify the effectiveness of the proposed methods. View Full-Text
Keywords: direction-of-arrival; double parallel linear arrays; spatial smoothing; coherently-distributed sources direction-of-arrival; double parallel linear arrays; spatial smoothing; coherently-distributed sources
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MDPI and ACS Style

Wu, T.; Zhang, X.; Li, Y.; Deng, Z.; Huang, Y. On Spatial Smoothing for DOA Estimation of 2D Coherently Distributed Sources with Double Parallel Linear Arrays. Electronics 2019, 8, 354. https://doi.org/10.3390/electronics8030354

AMA Style

Wu T, Zhang X, Li Y, Deng Z, Huang Y. On Spatial Smoothing for DOA Estimation of 2D Coherently Distributed Sources with Double Parallel Linear Arrays. Electronics. 2019; 8(3):354. https://doi.org/10.3390/electronics8030354

Chicago/Turabian Style

Wu, Tao; Zhang, Xiaofeng; Li, Yiwen; Deng, Zhenghong; Huang, Yijie. 2019. "On Spatial Smoothing for DOA Estimation of 2D Coherently Distributed Sources with Double Parallel Linear Arrays" Electronics 8, no. 3: 354. https://doi.org/10.3390/electronics8030354

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