An Improved Trilinear Model-Based Angle Estimation Method for Co-Prime Planar Arrays
National Key Laboratory of Mechatronic Engineering and Control, Beijing Institute of Technology, Beijing 100081, China
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Sensors 2018, 18(12), 4180; https://doi.org/10.3390/s18124180
Received: 12 October 2018
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Revised: 22 November 2018
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Accepted: 24 November 2018
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Published: 28 November 2018
(This article belongs to the Section Remote Sensors)
Angle estimation methods in two-dimensional co-prime planar arrays have been discussed mainly based on peak searching and sparse recovery. Peak searching methods suffer from heavy computational complexity and sparse recovery methods face some problems in selecting the regularization parameters. In this paper, we propose an improved trilinear model-based method for angle estimation for co-prime planar arrays in the view of trilinear decomposition, namely parallel factor analysis. Due to the principle of trilinear decomposition, our method does not require peak searching and can conduct auto-pairing easily, which can reduce the computational loads and avoid parameter selection problems. Furthermore, we exploit the virtual array concept of the whole co-prime planar array through the cross-correlation matrix obtained from the received signal data and present a matrix reconstruction method using the Khatri–Rao product to tackle the matrix rank deficiency problem in the virtual array condition. The simulation results show that our proposed method can not only achieve high estimation accuracy with low complexity compared to other similar approaches, but also utilize limited sensor number to implement the angle estimation tasks.
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Keywords:
co-prime planar array; improved trilinear model; virtual array concept; matrix reconstruction
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MDPI and ACS Style
Guo, C.; Hao, X.; Li, P. An Improved Trilinear Model-Based Angle Estimation Method for Co-Prime Planar Arrays. Sensors 2018, 18, 4180. https://doi.org/10.3390/s18124180
AMA Style
Guo C, Hao X, Li P. An Improved Trilinear Model-Based Angle Estimation Method for Co-Prime Planar Arrays. Sensors. 2018; 18(12):4180. https://doi.org/10.3390/s18124180
Chicago/Turabian StyleGuo, Chenxi, Xinhong Hao, and Ping Li. 2018. "An Improved Trilinear Model-Based Angle Estimation Method for Co-Prime Planar Arrays" Sensors 18, no. 12: 4180. https://doi.org/10.3390/s18124180
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