A Novel Nested Configuration Based on the Difference and Sum Co-Array Concept
School of Information and Electronics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, Beijing 100081, China
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Sensors 2018, 18(9), 2988; https://doi.org/10.3390/s18092988
Received: 16 July 2018
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Revised: 1 September 2018
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Accepted: 3 September 2018
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Published: 7 September 2018
(This article belongs to the Section Physical Sensors)
Recently, the concept of the difference and sum co-array (DSCa) has attracted much attention in array signal processing due to its high degree of freedom (DOF). In this paper, the DSCa of the nested array (NA) is analyzed and then an improved nested configuration known as the diff-sum nested array (DsNA) is proposed. We find and prove that the sum set for the NA contains all the elements in the difference set. Thus, there exists the dual characteristic between the two sets, i.e., for the difference result between any two sensor locations of the NA, one equivalent non-negative/non-positive sum result of two other sensor locations can always be found. In order to reduce the redundancy for further DOF enhancement, we develop a new DsNA configuration by moving nearly half the dense sensors of the NA to the right side of the sparse uniform linear array (ULA) part. These moved sensors together with the original sparse ULA form an extended sparse ULA. For analysis, we provide the closed form expressions of the DsNA locations as well as the DOF. Compared with some novel sparse arrays with large aperture such as the NA, coprime array and augmented nested array, the DsNA can achieve a higher number of DOF. The effectiveness of the proposed array is proved by the simulations.
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MDPI and ACS Style
Chen, Z.; Ding, Y.; Ren, S.; Chen, Z. A Novel Nested Configuration Based on the Difference and Sum Co-Array Concept. Sensors 2018, 18, 2988. https://doi.org/10.3390/s18092988
AMA Style
Chen Z, Ding Y, Ren S, Chen Z. A Novel Nested Configuration Based on the Difference and Sum Co-Array Concept. Sensors. 2018; 18(9):2988. https://doi.org/10.3390/s18092988
Chicago/Turabian StyleChen, Zhenhong, Yingtao Ding, Shiwei Ren, and Zhiming Chen. 2018. "A Novel Nested Configuration Based on the Difference and Sum Co-Array Concept" Sensors 18, no. 9: 2988. https://doi.org/10.3390/s18092988
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