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An algorithm for 5-D parameters estimation of near-field sources using parallel factor analysis

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Abstract

To effectively avoid the complicated spectral peak searching and multi-dimensional (M-D) parameter pairing, a novel fourth-order cumulant-based algorithm for estimating five-dimensional (5-D) parameters of near-field (NF) source is presented. Firstly, this approach exploits a non-centro symmetric uniform linear array equipped with concentered orthogonal loop and dipole element, and chooses proper sensor outputs to construct four cumulant matrices; secondly, it forms a parallel factor (PARAFAC) model with unique low-rank decomposition in the cumulant domain by utilizing these matrices; thirdly, the proposed algorithm utilizes the low rank three-way array decomposition of the PARAFAC model to jointly estimate the frequency, direction-of arrival, range and polarization parameters of each NF source. The simulation results reveal that the proposed approach works well in low signal-to-noise ratio (SNR) and small number of snapshots conditions as compared to the subspace method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 62001256, and by Key Laboratory of Intelligent Perception and Advanced Control of State Ethnic Affairs Commission under Grant MD-IPAC-2019102, and by Zhejiang Provincial Natural Science Foundation of China under Grant LQ19F010002, and 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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Correspondence to Hua Chen or Weiyue Liu.

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Zhao, T., Chen, H., Tian, Y. et al. An algorithm for 5-D parameters estimation of near-field sources using parallel factor analysis. Multidim Syst Sign Process 33, 1139–1150 (2022). https://doi.org/10.1007/s11045-022-00834-y

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  • DOI: https://doi.org/10.1007/s11045-022-00834-y

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