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The Resolving Power Analysis of a Distributed Polarization-Sensitive Array

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Abstract

The problem of source number detection based on a distributed polarization-sensitive array (DPSA) is considered in this paper. We propose a DPSA to improve the matching coefficient that can be used to measure the eigenvalues. We theoretically prove that DPSA has a lower matching coefficient than the traditional uniform circular array (UCA) when the incident sources are uncorrelated, and we then obtain the eigenvalues by using the matching coefficient. Moreover, we discuss the change in eigenvalues under the assumption that the power of the signals is unequal. Numerical simulations show that the source detection probability of the DPSA is enhanced compared with the traditional UCA. Meanwhile, increasing the power of the stronger received signal improves the detection probability when the source power is unequal.

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Notes

  1. This indicates that the electric and magnetic fields of the electromagnetic wave are in the plane perpendicular to the propagation direction.

  2. For linearly transverse electromagnetic waves \(\gamma _k =0\), \(\eta _k=0\), or \(\eta _k=- \,180^\circ \); for circularly polarized waves, \(\gamma _k=45^\circ \) and \(\eta _k=\pm \, 90^\circ \), and the signal has a left or right hand circular polarization (LHCP or RHCP); see [18].

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Acknowledgements

This work was supported in part by the National Science Foundation of China under Grant 61571149. The authors would like to thank the anonymous reviewers and the associate editor for their valuable comments and suggestions, which have greatly improved the quality of this paper.

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Authors and Affiliations

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin, China

    Wen Dong & Ming Diao

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  1. Wen Dong
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  2. Ming Diao
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Contributions

The main idea was proposed by Wen Dong. Lipeng Gao and Ming Diao performed the experiments and analyzed the simulation results. Wen Dong wrote the paper.

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Correspondence to Wen Dong.

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The authors declare no conflict of interest. The founding sponsors had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.

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Dong, W., Diao, M. The Resolving Power Analysis of a Distributed Polarization-Sensitive Array. Circuits Syst Signal Process 38, 4040–4055 (2019). https://doi.org/10.1007/s00034-019-01038-9

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