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Reduced-Dimensional Polynomial Rooting-Based Multiple Parameter Estimation for Polarization Sensitive Coprime Arrays: A Full Array Extraction Perspective

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Abstract

Generally, multi-dimensional spectral peak search (SPS) in parameter estimation for polarization sensitive coprime linear arrays (PS-CLAs) requires heavy computational burden. To resolve this problem, we propose a search-free algorithm for multi-parameter estimation with PS-CLAs in this paper. Specifically, different from the decomposition algorithms, we first reconstruct the total received signal of PS-CLA as the signal extracted from a large uniform linear array, which enables to offer a spectrum function only with regard to direction of arrival (DOA) by utilizing rank reduction estimator. Subsequently, we employ the polynomial root finding technique instead of one-dimensional SPS to directly calculate the DOA estimates. Furthermore, a quadratic optimization problem is established for the polarization parameters and in particular, the closed-form solutions are provided by utilizing Lagrange multiplier approach. Finally, numerical simulations illustrate that the proposed search-free algorithm can obtain improved estimation accuracy with remarkably low complexity.

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Notes

  1. \(x \in \langle a, b\rangle\) refers to the set of integers which satisfies \(a \le x \le b.\)

  2. \({\mathbf {I}}_{M}\) represents an \(M \times M\) identity matrix.

  3. det\((\cdot )\) represents the determinant of the matrix.

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Acknowledgements

This work is supported by China NSF Grants (61371169, 61631020, 61971218, 61601167), the Fundamental Research Funds for the Central Universities (NT2019013).

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Jinqing Shen, Yunfei Wang, Beizuo Zhu & Jianfeng Li

  2. Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing, 211106, China

    Jianfeng Li

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  1. Jinqing Shen
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  2. Yunfei Wang
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  4. Jianfeng Li
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Correspondence to Jinqing Shen.

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Shen, J., Wang, Y., Zhu, B. et al. Reduced-Dimensional Polynomial Rooting-Based Multiple Parameter Estimation for Polarization Sensitive Coprime Arrays: A Full Array Extraction Perspective. Wireless Pers Commun 114, 731–748 (2020). https://doi.org/10.1007/s11277-020-07390-3

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