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Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise.

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Title: Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise.
Authors: Taubenschuss, Ulrich1 ut@ufa.cas.cz, Santolík, Ondřej1,2
Source: Surveys in Geophysics. Jan2019, Vol. 40 Issue 1, p39-69. 31p.
Subject Terms: *Singular value decomposition, *Magnetosphere, *Polarization (Nuclear physics), *Noise, *Spectrum analysis
Abstract: Analysis of wave polarization provides wave propagation parameters and enables an identification of modes in space plasmas. It is based on measurements of several components of fluctuating electromagnetic fields. This technique has become a conventional part of modern instrumentation onboard scientific spacecraft. A definition of the degree of polarization can be reduced to a very basic form, i.e., the ratio of a signal's polarized power to its total power. However, this simple definition can have several different realizations which depend mainly on the underlying assumptions about separating the polarized (coherent) part from the unpolarized part (noise). After reviewing polarization of a plane wave in two and three dimensions, we examine the singular value decomposition technique for a complex spectral matrix as well as for a real spectral matrix. The meaning of singular values is explained, and we show to what extent the singular values are able to contribute to a separation between polarized signal and noise. Finally, our theoretical findings are verified with synthetic data as well as with whistler-mode chorus wave observations from the THEMIS spacecraft. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 133859927
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PubTypeId: academicJournal
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  Label: Title
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  Data: Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise.
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  Data: <searchLink fieldCode="AR" term="%22Taubenschuss%2C+Ulrich%22">Taubenschuss, Ulrich</searchLink><relatesTo>1</relatesTo><i> ut@ufa.cas.cz</i><br /><searchLink fieldCode="AR" term="%22Santolík%2C+Ondřej%22">Santolík, Ondřej</searchLink><relatesTo>1,2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Surveys+in+Geophysics%22">Surveys in Geophysics</searchLink>. Jan2019, Vol. 40 Issue 1, p39-69. 31p.
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  Data: *<searchLink fieldCode="DE" term="%22Singular+value+decomposition%22">Singular value decomposition</searchLink><br />*<searchLink fieldCode="DE" term="%22Magnetosphere%22">Magnetosphere</searchLink><br />*<searchLink fieldCode="DE" term="%22Polarization+%28Nuclear+physics%29%22">Polarization (Nuclear physics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Noise%22">Noise</searchLink><br />*<searchLink fieldCode="DE" term="%22Spectrum+analysis%22">Spectrum analysis</searchLink>
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  Label: Abstract
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  Data: Analysis of wave polarization provides wave propagation parameters and enables an identification of modes in space plasmas. It is based on measurements of several components of fluctuating electromagnetic fields. This technique has become a conventional part of modern instrumentation onboard scientific spacecraft. A definition of the degree of polarization can be reduced to a very basic form, i.e., the ratio of a signal's polarized power to its total power. However, this simple definition can have several different realizations which depend mainly on the underlying assumptions about separating the polarized (coherent) part from the unpolarized part (noise). After reviewing polarization of a plane wave in two and three dimensions, we examine the singular value decomposition technique for a complex spectral matrix as well as for a real spectral matrix. The meaning of singular values is explained, and we show to what extent the singular values are able to contribute to a separation between polarized signal and noise. Finally, our theoretical findings are verified with synthetic data as well as with whistler-mode chorus wave observations from the THEMIS spacecraft. [ABSTRACT FROM AUTHOR]
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      – Type: doi
        Value: 10.1007/s10712-018-9496-9
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      – Code: eng
        Text: English
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        PageCount: 31
        StartPage: 39
    Subjects:
      – SubjectFull: Singular value decomposition
        Type: general
      – SubjectFull: Magnetosphere
        Type: general
      – SubjectFull: Polarization (Nuclear physics)
        Type: general
      – SubjectFull: Noise
        Type: general
      – SubjectFull: Spectrum analysis
        Type: general
    Titles:
      – TitleFull: Wave Polarization Analyzed by Singular Value Decomposition of the Spectral Matrix in the Presence of Noise.
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            NameFull: Taubenschuss, Ulrich
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            NameFull: Santolík, Ondřej
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              Text: Jan2019
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              Y: 2019
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              Value: 40
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            – TitleFull: Surveys in Geophysics
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