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Article

Two-Dimensional DOA Estimation for Incoherently Distributed Sources with Uniform Rectangular Arrays

by 1,*, 1,*, 2 and 1
1
School of Automation, Northwestern Polytechnical University, Xi’an 710072, China
2
Science and Technology on Combustion, Thermal-Structure and Internal Flow Laboratory, Northwestern Polytechnical University, Xi’an 710072, China
*
Authors to whom correspondence should be addressed.
Sensors 2018, 18(11), 3600; https://doi.org/10.3390/s18113600
Received: 22 August 2018 / Revised: 13 October 2018 / Accepted: 18 October 2018 / Published: 23 October 2018
(This article belongs to the Special Issue Recent Advances in Array Processing for Wireless Applications)
Aiming at the two-dimensional (2D) incoherently distributed (ID) sources, we explore a direction-of-arrival (DOA) estimation algorithm based on uniform rectangular arrays (URA). By means of Taylor series expansion of steering vector, rotational invariance relations with regard to nominal azimuth and nominal elevation between subarrays are deduced under the assumption of small angular spreads and small sensors distance firstly; then received signal vectors can be described by generalized steering matrices and generalized signal vectors; thus, an estimation of signal parameters via rotational invariance techniques (ESPRIT) like algorithm is proposed to estimate nominal elevation and nominal azimuth respectively using covariance matrices of constructed subarrays. Angle matching method is proposed by virtue of Capon principle lastly. The proposed method can estimate multiple 2D ID sources without spectral searching and without information of angular power distribution function of sources. Investigating different SNR, sources with different angular power density functions, sources in boundary region, distance between sensors and number of sources, simulations are conducted to investigate the effectiveness of the proposed method. View Full-Text
Keywords: incoherently distributed sources; generalized steering matrix; generalized signal vector; rotational invariance relations; angle matching incoherently distributed sources; generalized steering matrix; generalized signal vector; rotational invariance relations; angle matching
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MDPI and ACS Style

Wu, T.; Deng, Z.; Li, Y.; Huang, Y. Two-Dimensional DOA Estimation for Incoherently Distributed Sources with Uniform Rectangular Arrays. Sensors 2018, 18, 3600. https://doi.org/10.3390/s18113600

AMA Style

Wu T, Deng Z, Li Y, Huang Y. Two-Dimensional DOA Estimation for Incoherently Distributed Sources with Uniform Rectangular Arrays. Sensors. 2018; 18(11):3600. https://doi.org/10.3390/s18113600

Chicago/Turabian Style

Wu, Tao, Zhenghong Deng, Yiwen Li, and Yijie Huang. 2018. "Two-Dimensional DOA Estimation for Incoherently Distributed Sources with Uniform Rectangular Arrays" Sensors 18, no. 11: 3600. https://doi.org/10.3390/s18113600

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