Journal cover Journal topic
Geoscientific Instrumentation, Methods and Data Systems An interactive open-access journal of the European Geosciences Union
Journal topic

Journal metrics

Journal metrics

  • IF value: 1.182 IF 1.182
  • IF 5-year value: 1.437 IF 5-year
    1.437
  • CiteScore value: 3.0 CiteScore
    3.0
  • SNIP value: 0.686 SNIP 0.686
  • IPP value: 1.36 IPP 1.36
  • SJR value: 0.538 SJR 0.538
  • Scimago H <br class='hide-on-tablet hide-on-mobile'>index value: 11 Scimago H
    index 11
  • h5-index value: 13 h5-index 13
Preprints
https://doi.org/10.5194/gi-2020-20
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gi-2020-20
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

  03 Aug 2020

03 Aug 2020

Review status
A revised version of this preprint was accepted for the journal GI and is expected to appear here in due course.

Mathematical foundation of Capon's method for planetary magnetic field analysis

Simon Toepfer1, Yasuhito Narita2,3, Daniel Heyner3, Patrick Kolhey3, and Uwe Motschmann1,4 Simon Toepfer et al.
  • 1Institut für Theoretische Physik, Technische Universität Braunschweig, Braunschweig, Germany
  • 2Space Research Institute, Austrian Academy of Sciences, Graz, Austria
  • 3Institut für Geophysik und extraterrestrische Physik, Technische Universität Braunschweig, Braunschweig, Germany
  • 4DLR Institute of Planetary Research, Berlin, Germany

Abstract. Minimum variance distortionless projection, the so-called Capon method, serves as a powerful and robust data analysis tool when working on various kinds of ill-posed inverse problems. The method has not only successfully been applied to multi-point wave and turbulence studies in the context of space plasma physics, but also is currently being considered as a technique to perform the multipole expansion of planetary magnetic fields from a limited data set, such as Mercury's magnetic field analysis. The practical application and limits of the Capon method are discussed in a rigorous fashion by formulating its linear-algebraic derivation in view of planetary magnetic field studies. Furthermore, the optimization of Capon's method by making use of diagonal loading is considered.

Simon Toepfer et al.

Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

Simon Toepfer et al.

Simon Toepfer et al.

Viewed

Total article views: 529 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
495 30 4 529 4 3
  • HTML: 495
  • PDF: 30
  • XML: 4
  • Total: 529
  • BibTeX: 4
  • EndNote: 3
Views and downloads (calculated since 03 Aug 2020)
Cumulative views and downloads (calculated since 03 Aug 2020)

Viewed (geographical distribution)

Total article views: 429 (including HTML, PDF, and XML) Thereof 428 with geography defined and 1 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Saved

No saved metrics found.

Discussed

No discussed metrics found.
Latest update: 02 Dec 2020
Publications Copernicus
Download
Short summary
The Capon method serves as a powerful and robust data analysis tool when working on various kinds of ill-posed inverse problems. Besides the analysis of waves, the method can be used in a generalized way to compare actual measurements with theoretical models, such as Mercury's magnetic field analysis. In view to the BepiColombo mission this work establishes a mathematical basis for the application of Capon's method to analyze Mercury's internal magnetic field in a robust and manageable way.
The Capon method serves as a powerful and robust data analysis tool when working on various...
Citation