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Three-dimensional Near-field Localization with Cross Array Considering Amplitude Attenuation

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Abstract

A spatial–temporal-based three-dimensional (3D) near-field (NF) source localization algorithm considering amplitude attenuation is proposed. A pair of virtual received data with rotation invariant relationship is constructed with fourth-order cumulant matrices, which is realized by selecting appropriate array element positions on the cross array. Subsequently, based on the rotation invariant relationship, the direction-of-arrival (DOA)–matrix method is used to extract the NF source’s two angle parameters from the eigenvalues and eigenvectors of the DOA and matrix. Finally, estimate of the range is achieved by a one-dimensional (1D) spectral peak search. Due to the corresponding relationship between eigenvalues and eigenvectors, the proposed algorithm avoids the additional pairing process. At the same time, thanks to the full usage of spatial and temporal information, the estimation performance of the proposed algorithm is improved. Simulation results shows that, compared with traditional algorithms that do not consider amplitude attenuation, the proposed one can provide effective estimation results with lower computational complexity.

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The data included in this study may be available upon reasonable request by contacting with the corresponding author.

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Acknowledgements

This research was supported by Zhejiang Provincial Natural Science Foundation of China under Grants No. LY23F010003 and LY21F050003, by the National Natural Science Foundation of China under Grant 62001256, by Ningbo Natural Science Foundation under Grant 2021J069, by Key Laboratory of Intelligent Perception and Advanced Control of State Ethnic Affairs Commission under Grant MD-IPAC-2019102, by the Scientific Research Foundation of Graduate School of Ningbo University under Grants IF2021154 and IF2022130, and by K.C.Wong Magna Fund in Ningbo University.

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Authors and Affiliations

  1. Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo, 315211, P. R. China

    Dingfan Xue, Linke Yu, Jianjian Huo, Hua Chen & Weiyue Liu

  2. Air and Missile Defense College, Air Force Engineering University, Xi’an, 710051, P. R. China

    Yiduo Guo

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  1. Dingfan Xue
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  2. Yiduo Guo
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  5. Hua Chen
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Correspondence to Jianjian Huo or Hua Chen.

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Xue, D., Guo, Y., Yu, L. et al. Three-dimensional Near-field Localization with Cross Array Considering Amplitude Attenuation. Circuits Syst Signal Process 42, 4401–4414 (2023). https://doi.org/10.1007/s00034-023-02295-5

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