ISSN:
1572-9052
Schlagwort(e):
Gauss quadrature
;
Laplace series
;
sampling theorems
;
spectral analysis
;
spherical harmonics
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract Aliasing effects are investigated for spherical random fields sampled on a finite grid. Using the spherical harmonics expansion, it is shown that for a band-limited spherical random field its trend and spectrum can be uniquely reconstructed from the sampled field if the sampling points are judiciously designed. Analytical expressions are also obtained for aliasing errors in the trend and the spectrum when the field is not band-limited.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1003171131391
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