Time-distance helioseismology: Inversion of noisy correlated data

S. Couvidat, Laurent Gizon, A. C. Birch, R. M. Larsen, A. G. Kosovichev

Research output: Contribution to journalArticle

Abstract

In time-distance helioseismology most inversion procedures ignore the correlations in the data errors. Here we simulate the travel-time perturbations of wavepackets that result from known distributions of sound speed inhomogeneities. The forward and inverse problems are carried out using recently developed Born approximation sensitivity kernels. A realistic solar noise component, with the correct statistics, is added to the data. We then apply a three-dimensional inversion procedure based on an improved multichannel deconvolution algorithm that includes the full covariance matrix of the simulated data and constrains the solution both in the vertical and horizontal directions. The validation of the inversion is achieved through comparison of the inferred sound speed distributions with the exact solutions. We show that including the covariance matrix matters for sound speed inhomogeneities varying on a length scale smaller than the correlation length. We also find that the inversion procedure is improved by adding horizontal regularization.

Original languageEnglish (US)
Pages (from-to)217-229
Number of pages13
JournalAstrophysical Journal, Supplement Series
Volume158
Issue number2
DOIs
StatePublished - Jun 1 2005

Fingerprint

helioseismology
inversions
inhomogeneity
acoustics
solar radio emission
Born approximation
matrix
deconvolution
inverse problem
travel time
travel
perturbation
statistics
inversion
sensitivity
speed
sound
distribution

Keywords

  • Methods: data analysis
  • Sun: helioseismology

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Time-distance helioseismology : Inversion of noisy correlated data. / Couvidat, S.; Gizon, Laurent; Birch, A. C.; Larsen, R. M.; Kosovichev, A. G.

In: Astrophysical Journal, Supplement Series, Vol. 158, No. 2, 01.06.2005, p. 217-229.

Research output: Contribution to journalArticle

Couvidat, S. ; Gizon, Laurent ; Birch, A. C. ; Larsen, R. M. ; Kosovichev, A. G. / Time-distance helioseismology : Inversion of noisy correlated data. In: Astrophysical Journal, Supplement Series. 2005 ; Vol. 158, No. 2. pp. 217-229.
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