A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The polar form of the spherical harmonic spectrum: implications for filtering grace data
Abstract Representing the spherical harmonic spectrum of a field on the sphere in terms of its amplitude and phase is termed as its polar form. In this study, we look at how the amplitude and phase are affected by linear low-pass filtering. The impact of filtering on amplitude is well understood, but that on phase has not been studied previously. Here, we demonstrate that a certain class of filters only affect the amplitude of the spherical harmonic spectrum and not the phase, but the others affect both the amplitude and phase. Further, we also demonstrate that the filtered phase helps in ascertaining the efficacy of decorrelation filters used in the grace community.
The polar form of the spherical harmonic spectrum: implications for filtering grace data
Abstract Representing the spherical harmonic spectrum of a field on the sphere in terms of its amplitude and phase is termed as its polar form. In this study, we look at how the amplitude and phase are affected by linear low-pass filtering. The impact of filtering on amplitude is well understood, but that on phase has not been studied previously. Here, we demonstrate that a certain class of filters only affect the amplitude of the spherical harmonic spectrum and not the phase, but the others affect both the amplitude and phase. Further, we also demonstrate that the filtered phase helps in ascertaining the efficacy of decorrelation filters used in the grace community.
The polar form of the spherical harmonic spectrum: implications for filtering grace data
Devaraju, Balaji (author) / Sneeuw, Nico (author)
Journal of Geodesy ; 91
2017
Article (Journal)
Electronic Resource
English
The polar form of the spherical harmonic spectrum: implications for filtering grace data
| Online Contents | 2017
Spherical harmonic analysis, aliasing, and filtering
| Online Contents | 1996
A novel spatial filter to reduce north–south striping noise in GRACE spherical harmonic coefficients
| Online Contents | 2022