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Open AccessArticle

Generalized L-Shaped Nested Array Concept Based on the Fourth-Order Difference Co-Array

1
School of Information and Electronics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, Beijing 100081, China
2
Oil Production Technology Institute of Da Gang Oilfield Company, No. 1278, Xingfu Road, Haibin Street, Binhai New District, Tianjin 300280, China
*
Author to whom correspondence should be addressed.
Sensors 2018, 18(8), 2482; https://doi.org/10.3390/s18082482
Received: 21 May 2018 / Revised: 18 July 2018 / Accepted: 25 July 2018 / Published: 1 August 2018
In this paper, a generalized L-shaped nested array based on the fourth-order difference co-array is proposed for two-dimensional (2D) directions’ estimation. The new structure framework makes full use of the physical sensor locations to form a virtual uniform rectangular array (URA) as large as possible. As it utilizes the fourth-order difference instead of the traditional second-order difference result, this structure framework can acquire a much higher degree-of-freedom (DOF) than the existing 2D sparse arrays. The proposed structures have two advantages. One is that the subarrays can be chosen as any nested-class arrays, which makes the sparse array design more flexible. We can choose arbitrary subarray structures for DOF enhancement purposes. Another advantage is that the relative position of two subarrays can be set as any integral multiple of half wavelength. This means that two subarrays can be located as far as possible so that the relative influence between two physical subarrays can be ignored. The DOFs of several typical generalized L-shaped nested arrays (GLNAs) are compared in this paper. By setting the subarrays as different types and the relative position as a special value, a special GLNA is presented. Simulations show that GLNAs have obvious superiority in 2D direction-of-arrival estimation. View Full-Text
Keywords: fourth-order difference; two-dimensional sparse array; quasi-stationary signal fourth-order difference; two-dimensional sparse array; quasi-stationary signal
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MDPI and ACS Style

Zhang, L.; Ren, S.; Li, X.; Ren, G.; Wang, X. Generalized L-Shaped Nested Array Concept Based on the Fourth-Order Difference Co-Array. Sensors 2018, 18, 2482. https://doi.org/10.3390/s18082482

AMA Style

Zhang L, Ren S, Li X, Ren G, Wang X. Generalized L-Shaped Nested Array Concept Based on the Fourth-Order Difference Co-Array. Sensors. 2018; 18(8):2482. https://doi.org/10.3390/s18082482

Chicago/Turabian Style

Zhang, Lei; Ren, Shiwei; Li, Xiangnan; Ren, Guishan; Wang, Xiaohua. 2018. "Generalized L-Shaped Nested Array Concept Based on the Fourth-Order Difference Co-Array" Sensors 18, no. 8: 2482. https://doi.org/10.3390/s18082482

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