Minimum variance projection for direct measurements of power-law spectra in the wavenumber domain

Yasuhito Narita, Yoshihiro Nishimura, Tohru Hada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Minimum variance projection is widely used in geophysical and space plasma measurements to identify the wave propagation direction and the wavenumber of the wave fields. The advantage of the minimum variance projection is its ability to estimate the energy spectra directly in the wavenumber domain using only a limited number of spatial samplings. While the minimum variance projection is constructed for discrete signals in the data, we find that the minimum variance projection can reasonably reproduce the spectral slope of the power-law spectrum if the data represent continuous power-law signals. The spectral slope study using the minimum variance projection is tested against synthetic random data with a power-law spectrum. The method is applicable even for a small number of spatial samplings. Conversely, the spatial aliasing causes a flattening of the spectrum.

Original languageEnglish
Pages (from-to)639-644
Number of pages6
JournalAnnales Geophysicae
Volume35
Issue number3
DOIs
Publication statusPublished - May 11 2017

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power law
projection
sampling
slopes
wave field
space plasmas
wave propagation
flattening
plasma
energy spectra
causes
energy
estimates

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Geology
  • Atmospheric Science
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science

Cite this

Minimum variance projection for direct measurements of power-law spectra in the wavenumber domain. / Narita, Yasuhito; Nishimura, Yoshihiro; Hada, Tohru.

In: Annales Geophysicae, Vol. 35, No. 3, 11.05.2017, p. 639-644.

Research output: Contribution to journalArticle

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