Conditional and Unconditional Deterministic Bounds on the MSE of the Non-Uniform Linear Co-centered Orthogonal Loop and Dipole Array

Authors

  • Tao Bao Northwestern Polytechnical University, Xi’an 710129, China
  • Mohammed Nabil El Korso Paris Nanterre University

DOI:

https://doi.org/10.53907/enpesj.v1i1.11

Keywords:

Deterministic lower bounds, co-centered orthogonal loop and dipole array, mean square error, performance analysis, passive source localization, SNR threshold

Abstract

The co-centered orthogonal loop and dipole (COLD) array exhibits some interesting properties, which makes it ubiquitous in the context of polarized source localization. In the literature, one can find a plethora of estimation schemes adapted to the COLD array. Nevertheless, their ultimate performance in terms the so-called threshold region of mean square error (MSE), have not been fully investigated. In order to fill this lack, we focus, in this paper, on conditional and unconditional bounds that are tighter than the well known Cramér-Rao Bound (CRB). More precisely, we give some closed form expressions of the McAulay-Hofstetter, the Hammersley-Chapman-Robbins, the McAulaySeidman bounds and the recent Todros-Tabrikian bound, for both the conditional and unconditional observation model. Finally, numerical examples are provided to corroborate the theoretical analysis and to reveal a number of insightful properties.

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Published

2021-07-22

Issue

Vol. 1 No. 1 (2021): ENP Engineering Science Journal

Section

Article

License

Copyright (c) 2021 ENP Engineering Science Journal

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