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Target Localization by UWB Signals

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Numerical Methods and Applications (NMA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8962))

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Abstract

The high bandwidth of ultra wideband (UWB) radars results in a high spatial resolution, typically a few cm. Thanks to good penetration through materials UWB radars can be very helpful, e.g., also in such situations: through-wall tracking of human beings during security operations, through-rubble localization of motionless persons following an emergency, e.g., earthquake or explosion, through-snow detection of people after an avalanche or through-dress security screening at airports for the detection of non-metal objects etc.

An algorithm for the localization of a point target behind a wall based on the information about times of a signal arrival (TOA) to the receivers will be presented. The 3-dimensional case is considered. We suppose that the permittivity of the considered wall is known. The introduced method may be used for known wall width, and also for the wall width determination.

The determination of the through wall TOA for given point targets, based on Snell’s law, has been considered before by other authors. We solve the inverse problem using the Newton method for the minimization of the least squares objective function.

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Notes

  1. 1.

    We may use more precise notation \(\mathrm {TOA}_i(P,w)\) to emphasize the dependence on the wall width \(w\).

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Acknowledgement

This work was supported by the Slovak Research and Development Agency under contract No. APVV-0404-12.

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Authors and Affiliations

  1. Department of Mathematics and Theoretical Informatics, FEE&I, Technical University in Košice, Nemcovej 32, 040 01, Košice, Slovakia

    Ján Buša

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  1. Ján Buša
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Correspondence to Ján Buša .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Stefka Fidanova

  3. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

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Buša, J. (2015). Target Localization by UWB Signals. In: Dimov, I., Fidanova, S., Lirkov, I. (eds) Numerical Methods and Applications. NMA 2014. Lecture Notes in Computer Science(), vol 8962. Springer, Cham. https://doi.org/10.1007/978-3-319-15585-2_28

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  • DOI: https://doi.org/10.1007/978-3-319-15585-2_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15584-5

  • Online ISBN: 978-3-319-15585-2

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