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

被引：9

作者：

Li, TH

North, GR

机构：

[1] TEXAS A&M UNIV,DEPT STAT,COLLEGE STN,TX 77843

[2] TEXAS A&M UNIV,DEPT METEOROL,CLIMATE SYST RES PROGRAM,COLLEGE STN,TX 77843

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1997年 / 49卷 / 02期

关键词：

Gauss quadrature; Laplace series; sampling theorems;

D O I：

10.1023/A:1003171131391

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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 held 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.

引用

页码：341 / 354

页数：14

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