Linear filtering on the surface of a sphere

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049 ‡aMAIN
086 0 ‡aD 301.45/39:683
088 ‡aADA 082386
088 ‡aAFGL TR 79-263
100 1 ‡aShapiro, Ralph.
245 1 0 ‡aLinear filtering on the surface of a sphere / ‡cRalph Shapiro.
264 1 ‡aHanscom AFB, Massachusetts : ‡bAir Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, ‡c1979.
300 ‡a32 pages : ‡billustrations ; ‡c28 cm.
336 ‡atext ‡btxt ‡2rdacontent
337 ‡aunmediated ‡bn ‡2rdamedia
338 ‡avolume ‡bnc ‡2rdacarrier
490 0 ‡aAFGL-TR ; ‡v79-263
490 0 ‡aEnvironmental Research Papers ; ‡vNo. 683
500 ‡aResearch supported by the Air Force Geophysics Laboratory, Air Force Systems Command, United States Air Force, Hanscom AFB, Massachusetts.
500 ‡aMeteorology Division Project 2310.
500 ‡aADA082386 (from http://www.dtic.mil).
500 ‡a"29 October 1979."
504 ‡aIncludes bibliographical references (page 32).
520 ‡aAlthough methods of filtering have been developed for representing on a planar surface the sub-grid scale process of diffusion in numerical modeling of the atmosphere, the proper form of filtering for a spherical domain remains to be selected. In this study, the characteristics of several different forms of a highly scale dependent low pass filter are examined and compared for the case where the filter is applied to a scalar field on the surface of a sphere. The phase and amplitude response functions of the various forms of the filter indicate that the simplest form, although it does not preserve area-weighted mean values, approaches most closely the criteria established for the ideal filter. This indication is verified by the test computations in which each form of the filter is applied up to 10,000 times to a noisy scalar field. (Author).
538 ‡aMode of access: Internet.
650 7 ‡aSphere. ‡2fast ‡0(OCoLC)fst01129664
650 7 ‡aNumerical weather forecasting. ‡2fast ‡0(OCoLC)fst01041307
650 7 ‡aFilters (Mathematics) ‡2fast ‡0(OCoLC)fst00924327
650 7 ‡aDigital filters (Mathematics) ‡2fast ‡0(OCoLC)fst00893686
650 7 ‡aDiffusion. ‡2fast ‡0(OCoLC)fst00893534
650 7 ‡aAtmospheric models. ‡2fast ‡0(OCoLC)fst00820440
650 0 ‡aDiffusion.
650 0 ‡aAtmospheric models.
650 0 ‡aSphere.
650 0 ‡aDigital filters (Mathematics)
650 0 ‡aFilters (Mathematics)
650 0 ‡aNumerical weather forecasting.
710 2 ‡aU.S. Air Force Geophysics Laboratory.
730 0 ‡aTechnical Report Archive & Image Library (TRAIL)
899 ‡a39015095139310
CID ‡a102325905
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DAT 1 ‡a20220619060753.0 ‡b2024-04-27T17:32:05Z
DAT 2 ‡a2024-04-27T17:30:02Z
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