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Published in: Wireless Personal Communications 1/2020

04-05-2020

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

Authors: Jinqing Shen, Yunfei Wang, Beizuo Zhu, Jianfeng Li

Published in: Wireless Personal Communications | Issue 1/2020

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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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Footnotes
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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Metadata
Title
Reduced-Dimensional Polynomial Rooting-Based Multiple Parameter Estimation for Polarization Sensitive Coprime Arrays: A Full Array Extraction Perspective
Authors
Jinqing Shen
Yunfei Wang
Beizuo Zhu
Jianfeng Li
Publication date
04-05-2020
Publisher
Springer US
Published in
Wireless Personal Communications / Issue 1/2020
Print ISSN: 0929-6212
Electronic ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-020-07390-3

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