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access icon free Manifold ambiguity and performance analysis for electric-measurement-only polarisation sensitive arrays

  • Author(s): Chunlei Zhao 1 ; Xingpeng Mao 1, 2 ; Yunlong Yang 1 ; Changjun Yu 3
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  • Source: Volume 13, Issue 12, December 2019, p. 2120 – 2130
    DOI:  10.1049/iet-rsn.2019.0067 , Print ISSN 1751-8784, Online ISSN 1751-8792
© The Institution of Engineering and Technology
Received 12/02/2019, Accepted 09/08/2019, Revised 04/08/2019, Published 13/08/2019

Direction-of-arrival and polarisation estimation is an important issue in array signal processing. Among various polarisation sensitive arrays (PSAs), arrays with only measurements of the electric field are most extensively applied in practice. In this study, the manifold ambiguity of such electric-measurement-only PSA is investigated to evaluate the uniqueness of parameter estimation. For co-centred PSAs and spatially-spread PSAs, the necessary and sufficient conditions of linearly dependent steering vectors are established based on the cosine similarity. Furthermore, for various arrays, the explicit parameter sets corresponding to trivial manifold ambiguity are provided. Moreover, for the noisy case, the closed-form Cramér-Rao bounds for arbitrary PSAs are also presented to evaluate the performance bound of parameter estimation with the considered arrays. Simulations and experimental results of high-frequency radar further reveal the influences of array configurations on the identifiability and performance bound of PSAs, and verify the corresponding theoretical results. The presented results can be easily generalised to other PSAs containing magnetic measurements, which provide guidelines for designing the spatial and polarimetric configuration of PSAs to ensure unambiguous and accurate parameter estimation.

Inspec keywords: vectors; electric variables measurement; direction-of-arrival estimation; parameter estimation

Other keywords: closed-form Cramér-Rao bounds; array configurations; cocentred PSA; array signal processing; magnetic measurements; electric field; trivial manifold ambiguity; spatially-spread PSA; polarisation estimation; electric-measurement-only polarisation sensitive arrays; parameter estimation; arbitrary PSA

Subjects: Algebra; Electric and magnetic variables measurement methods; Measurement of basic electric and magnetic variables; Signal processing and detection; Algebra, set theory, and graph theory

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