Continuous wavelet-like filter for a spherical surface and its application to localized admittance function on Mars

Motoyuki Kido, David A. Yuen, Alain P. Vincent

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We have developed a 2D isotropic continuous wavelet-like transform for a spherical surface. The transform is simply defined as the surface convolution between the original field and a kernel, based on the zeroth-order Bessel function with a spherical correction. This spherical correction violates the geometric similarity for the various scales of the kernels, which becomes more apparent at longer wavelengths. We found numerically that this transform is practically equivalent to a Gaussian bandpass filter in the spherical harmonic domain. We have applied this wavelet-like transform on the recently acquired Martian gravity and topography fields. Using a ratio constructed locally from these two fields, we have constructed a map describing the lateral variations of the localized admittance function on Mars.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalPhysics of the Earth and Planetary Interiors
Volume135
Issue number1
DOIs
Publication statusPublished - 2003 Jan 15
Externally publishedYes

Keywords

  • Admittance
  • Bandpass filter
  • Martian gravity data
  • Wavelet

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Geophysics
  • Physics and Astronomy (miscellaneous)
  • Space and Planetary Science

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