Spherical harmonic analysis, aliasing, and filtering

Journal of Geodesy

Volumn 70, Issue 4, 1996, Pages 214-223

  Jekeli, Christopher ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000673106     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00873702     Document Type: Article

References (20)

1. Abramowitz M, Stegun IA (eds.) (1972) Handbook of Mathematical Functions. Dover Publications.
2. Albertella A, Sacerdote F (1995) Spectral analysis of block averaged data in geopotential global model determination. To appear in Manuscripta Geodaetica.
3. Albertella A, Sacerdote F, Sansò F (1993) Geodetic calculus with block-averages observations on the sphere. Surveys in Geophysics 14: 395-402.
4. Colombo OL (1981) Numerical methods for harmonic analysis on the sphere. Report no.310, Department of Geodetic Science, The Ohio State University.
5. Gaposchkin EM (1980) Averaging on the surface of a sphere. J Geophys Res 85(B6):3187-3193.
6. Gleason DM (1987) Developing an optimally estimated earth gravity model to degree and order 360 from a global set of 30' by 30' mean surface gravity anomalies. Manuscripta Geodaetica 12:253-267.
7. Goldstein JD (1978) Application of Fourier techniques to the computation of spherical harmonic coefficients. The Analytic Sciences Corp., Tech. Info. Mem. TIM-868-3.
8. Heiskanen WA, Moritz H (1967) Physical Geodesy. W.H. Freeman, San Francisco.
9. Hobson EW (1965) The Theory of Spherical and Ellipsoidal Harmonics. Chelsea Publishing.
10. Hwang C (1993) Fast algorithm for the formation of normal equations in a least-squares spherical harmonic analysis by FFT. Manuscripta Geodaetica 18(1):46-52.
11. Jekeli C (1981) Alternative methods to smooth the earth's gravity field. Report No.327, Department of Geodetic Science and Surveying, Ohio State University.
12. Kaula WM (1993) Higher Order Statistics of Planetary Gravities and Topographies. Geophys Res Lett 20.
13. Pavlis NK (1988) Modeling and estimation of a low degree geopotential model from terrestrial gravity data. Report No.386, Department of Geodetic Science and Surveying, The Ohio State University.
14. Priestley MB (1981) Spectral Analysis and Time Series. Academic Press.
15. Rapp RH (1977) Determination of Potential Coefficients to Degree 52 from 5° mean gravity anomalies. Bulletin Géodésique 51(4):301-323.
16. Rapp RH, Pavlis NK (1990) The development and analysis of geopotential coefficient models to spherical harmonic degree 360. J Geophys Res 95(B13):21885-21911.
17. Ricardi LJ, Burrows ML (1972) A recurrence technique for expanding a function in spherical harmonics. IEEE Trans Comp June:583-585.
18. Schmitz DR, Cain JC (1983) Geomagnetic Spherical Harmonic Analysis, 1. Techniques. J Geophys Res 88(B2):1222-1228.
19. Sansò F (1990) On the aliasing problem in the spherical harmonic analysis. Bulletin Géodésique 64:313-330.
20. n-function. Bulletin Géodésique 54(1):69-72.