Correlation matrix methods to assess the stirring performance of electromagnetic reverberation chambers.

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Title: Correlation matrix methods to assess the stirring performance of electromagnetic reverberation chambers.
Authors: Gradoni, Gabriele1 (AUTHOR) gabriele.gradoni@nottingham.ac.uk, Moglie, Franco2 (AUTHOR), Mariani Primiani, Valter2 (AUTHOR)
Source: Wave Motion. Apr2019, Vol. 87, p213-226. 14p.
Subjects: Reverberation chambers, Probability density function, Lyapunov exponents, Electromagnetic compatibility, Matrices (Mathematics)
Abstract: Abstract The use of correlation matrices to evaluate the number of uncorrelated stirrer positions of electromagnetic reverberation chambers has widespread applications in electromagnetic compatibility. We present a review of recent methods based on multivariate correlation functions that relates statistical inhomogeneities in space (frequency) to the reduction of uncorrelated cavity configurations. Full wave finite-difference time domain simulations of an actual reverberation chamber are performed through an in-house parallel code. The efficiency of this code allows for capturing extensive inhomogeneous/anisotropic reverberation fields at frequencies close to the lowest usable frequency (LUF) of the chamber. The concept of effective independent position is revised in light of random sampling and a model-driven relation with the probability distribution of correlation matrix entries is used to take into account spatial (frequency) inhomogeneities. Driven by extensive simulation data, an empirical probability density function is found for the correlation matrix elements to be non-central t -student distributed with asymmetry increasing towards low frequencies. Highlights • Reviewed correlation-based models to evaluate stirrer performance. • Focused on number of uncorrelated stirrer positions as a performance indicator. • Production of uncorrelated stirrer positions, spatial points, and frequencies evaluated for a large scale reverberation chamber facility. • Suggested relation between wave Entropy production and sum of classical positive Lyapunov exponents. • New model relating the production of uncorrelated positions to probability distribution of field–field correlation matrix elements. [ABSTRACT FROM AUTHOR]
Copyright of Wave Motion is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Correlation matrix methods to assess the stirring performance of electromagnetic reverberation chambers.
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  Data: <searchLink fieldCode="AR" term="%22Gradoni%2C+Gabriele%22">Gradoni, Gabriele</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gabriele.gradoni@nottingham.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Moglie%2C+Franco%22">Moglie, Franco</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mariani Primiani%2C+Valter%22">Mariani Primiani, Valter</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Wave+Motion%22">Wave Motion</searchLink>. Apr2019, Vol. 87, p213-226. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Reverberation+chambers%22">Reverberation chambers</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+density+function%22">Probability density function</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+compatibility%22">Electromagnetic compatibility</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Abstract The use of correlation matrices to evaluate the number of uncorrelated stirrer positions of electromagnetic reverberation chambers has widespread applications in electromagnetic compatibility. We present a review of recent methods based on multivariate correlation functions that relates statistical inhomogeneities in space (frequency) to the reduction of uncorrelated cavity configurations. Full wave finite-difference time domain simulations of an actual reverberation chamber are performed through an in-house parallel code. The efficiency of this code allows for capturing extensive inhomogeneous/anisotropic reverberation fields at frequencies close to the lowest usable frequency (LUF) of the chamber. The concept of effective independent position is revised in light of random sampling and a model-driven relation with the probability distribution of correlation matrix entries is used to take into account spatial (frequency) inhomogeneities. Driven by extensive simulation data, an empirical probability density function is found for the correlation matrix elements to be non-central t -student distributed with asymmetry increasing towards low frequencies. Highlights • Reviewed correlation-based models to evaluate stirrer performance. • Focused on number of uncorrelated stirrer positions as a performance indicator. • Production of uncorrelated stirrer positions, spatial points, and frequencies evaluated for a large scale reverberation chamber facility. • Suggested relation between wave Entropy production and sum of classical positive Lyapunov exponents. • New model relating the production of uncorrelated positions to probability distribution of field–field correlation matrix elements. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Wave Motion is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.wavemoti.2018.09.008
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 213
    Subjects:
      – SubjectFull: Reverberation chambers
        Type: general
      – SubjectFull: Probability density function
        Type: general
      – SubjectFull: Lyapunov exponents
        Type: general
      – SubjectFull: Electromagnetic compatibility
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
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      – TitleFull: Correlation matrix methods to assess the stirring performance of electromagnetic reverberation chambers.
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            NameFull: Gradoni, Gabriele
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            NameFull: Moglie, Franco
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            NameFull: Mariani Primiani, Valter
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            – D: 01
              M: 04
              Text: Apr2019
              Type: published
              Y: 2019
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              Value: 87
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