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Spatial Smoothing on the Sphere

  • Sardeshmukh P
  • Hoskins B
Monthly Weather Review (1984) 112(12) 2524-2529
DOI: 10.1175/1520-0493(1984)112<2524:ssots>2.0.co;2
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Abstract

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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Sardeshmukh, P. D., & Hoskins, B. I. (1984). Spatial Smoothing on the Sphere. Monthly Weather Review, 112(12), 2524–2529. https://doi.org/10.1175/1520-0493(1984)112<2524:ssots>2.0.co;2

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