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| Titel |
Insights into filtering on the sphere offered by the polar form of spherical harmonics |
| VerfasserIn |
Balaji Devaraju, Nico Sneeuw |
| Konferenz |
EGU General Assembly 2015
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 17 (2015) |
| Datensatznummer |
250114267
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| Publikation (Nr.) |
 EGU/EGU2015-14580.pdf |
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| Zusammenfassung |
| 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
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. Based on these results we investigate the practice
of filtering Earth system models to compare them with filtered GRACE datasets. |
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