Spatial Smoothing on the Sphere

Prashant D. Sardeshmukh U.K. Universities Atmospheric Modelling Group. University of Reading, READING RG6 24U, U.K.

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Brian I. Hoskins U.K. Universities Atmospheric Modelling Group. University of Reading, READING RG6 24U, U.K.

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Abstract

The equivalence of taking an isotropic, moving, spatial average of a two-dimensional field on the sphere to multiplying the coefficients in its spherical harmonics representation with factors that depend only on the total wavenumber n is discussed. Equivalent spatial averaging operators for several such spectral filters are displayed.

Abstract

The equivalence of taking an isotropic, moving, spatial average of a two-dimensional field on the sphere to multiplying the coefficients in its spherical harmonics representation with factors that depend only on the total wavenumber n is discussed. Equivalent spatial averaging operators for several such spectral filters are displayed.

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