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Aliasing Effects and Sampling Theorems of Spherical Random Fields when Sampled on a Finite Grid (1997)

Li, Ta-Hsin ; North, Gerald R.

Springer

Annals of the Institute of Statistical Mathematics 49 (1997), S. 341-354

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ISSN: 1572-9052

Keywords: Gauss quadrature ; Laplace series ; sampling theorems ; spectral analysis ; spherical harmonics

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1003171131391

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