The Covariance Matrix Analysis and Statistics for Near-field Sources Localization Model

Authors

  • František Nebus Armed Forces Academy of General M. R. Štefánik, Liptovský Mikuláš, Slovak Republic
  • Stanislava Gažovová Armed Forces Academy of General M. R. Štefánik, Liptovský Mikuláš, Slovak Republic

DOI:

https://doi.org/10.3849/aimt.01329

Keywords:

autocorrelation, covariance matrix, cross-correlation, near-field region, source localization

Abstract

The paper presents the mathematical model of the localization of electromagnetic sources in near-field region based on the sources localization mathematical model valid for the far-field region. The aim of the article is to show similarities and differences between both models with a deeper focus on near-field region model analysis using planar equidistant sensors array. Although both concepts in a high-level mathematical
description apparatus look very much the same, in details the near-field region model reconstruction process is more complex with different constrains. Detailed covariance matrix analysis and statistics of the covariance matrix represents the main part of the article. In the conclusion, paper shows some model verification results for the localization of single source, correlated sources and coherent sources.

Author Biographies

František Nebus, Armed Forces Academy of General M. R. Štefánik, Liptovský Mikuláš, Slovak Republic

Department of Electronics

Stanislava Gažovová, Armed Forces Academy of General M. R. Štefánik, Liptovský Mikuláš, Slovak Republic

Department of Electronics

References

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GORBUNOVA, A.A. Stochastic Sources Localization Algorithm based on Near-Field Two-Point Planar Scanning Data (in Russian). Trudy MAI, 2014, no. 73. [viewed 2019-03-05]. Available from: http://trudymai.ru/eng/published.php?ID=48571

MUDROŇ, J. Fundamentals of Classical Electrodynamics (in Slovak). Liptovský Mikuláš: Armed Forces Academy of General M. R. Štefánik, 2013. 263 p. ISBN 978-80-8040-480-2.

NEBUS, F., KURTY, J. and MARKO, J. Controlled Spatial Smoothing for Coherent Signal Processing. In Proceedings of the Conference IST-039/RSY-011. Chester: ATO-RTO, 2003.

CHEN, Z., GOKEDA, G. and YU, Y. Introduction to Direction-of-Arrival Estimation. Northwood, MA: Artech House, 2010. 193 p. ISBN 978-1-59693-089-6.

WANG, H. and LIU, K.J.R. 2D Spatial Smoothing for Multipath Coherent Signal Separation Source. IEEE Transactions on Aerospace and Electronic Systems, 1998, vol. 34, no. 2, p. 391-405. https://doi.org/10.1109/7.670322.

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Published

13-03-2020

How to Cite

Nebus, F., & Gažovová, S. (2020). The Covariance Matrix Analysis and Statistics for Near-field Sources Localization Model. Advances in Military Technology, 15(1), 149–162. https://doi.org/10.3849/aimt.01329

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Section

Research Paper

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