Aliasing effects and sampling theorems of spherical random fields when sampled on a finite grid Academic Article

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.

authors

• North, Jerry

published proceedings

• ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS

author list (cited authors)

• Li, T. H., & North, G. R.

citation count

• 13

complete list of authors

• Li, TH||North, GR

publication date

• June 1997

publisher

• Springer Nature  Publisher

published in

• Annals of the Institute of Statistical Mathematics  Journal

keywords

• Gauss Quadrature
• Laplace Series
• Sampling Theorems

Digital Object Identifier (DOI)

• 10.1023/A:1003171131391

start page

• 341

end page

• 354

volume

• 49

issue

• 2