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Open AccessArticle

Design of Novel Nested Arrays Based on the Concept of Sum-Difference Coarray

College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
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Electronics 2020, 9(1), 115; https://doi.org/10.3390/electronics9010115
Received: 30 November 2019 / Revised: 4 January 2020 / Accepted: 6 January 2020 / Published: 7 January 2020
(This article belongs to the Special Issue Recent Advances in Array Antenna and Array Signal Processing)
Nested arrays have recently attracted considerable attention in the field of direction of arrival (DOA) estimation owing to the hole-free property of their virtual arrays. However, such virtual arrays are confined to difference coarrays as only spatial information of the received signals is exploited. By exploiting the spatial and temporal information jointly, four kinds of novel nested arrays based on the sum-difference coarray (SDCA) concept are proposed. To increase the degrees of freedom (DOFs) of SDCA, a modified translational nested array (MTNA) is introduced first. Then, by analyzing the relationship among sensors in MTNA, we give the specific positions of redundant sensors and remove them later. Finally, we derive the closed-form expressions for the proposed arrays as well as their SDCAs. Meanwhile, different index sets corresponding to the proposed arrays are also designed for their use in obtaining the desirable SDCAs. Moreover, the properties regarding DOFs of SDCAs and physical apertures for the proposed arrays are analyzed, which prove that both the DOFs and physical apertures are improved. Simulation results are provided to verify the superiority of the proposed arrays. View Full-Text
Keywords: novel nested arrays; sum-difference coarray; degrees of freedom; physical aperture; spatial and temporal information; DOA estimation novel nested arrays; sum-difference coarray; degrees of freedom; physical aperture; spatial and temporal information; DOA estimation
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Si, W.; Peng, Z.; Hou, C.; Zeng, F. Design of Novel Nested Arrays Based on the Concept of Sum-Difference Coarray. Electronics 2020, 9, 115.

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