A note on the multidimensional sampling theorem

The multidimensional sampling theorem is extended to allow nonuniform, but periodic, sampling with explicit and simple reconstruction formulas. The extension is applicable to hexagonal and other nonrectangular lattices; such sampling schemes can be as efficient as rectangular sampling.

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Bibliographic Details
Published inProceedings of the IEEE Vol. 60; no. 2; pp. 247 - 248
Main Author Gaarder, N.T.
Format Journal Article
LanguageEnglish
Published IEEE 1972
Subjects
Circuit theory
Discrete Fourier transforms
Filtering
Fourier series
Fourier transforms
Lattices
Low pass filters
Multidimensional systems
Nonuniform sampling
Sampling methods
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Summary:The multidimensional sampling theorem is extended to allow nonuniform, but periodic, sampling with explicit and simple reconstruction formulas. The extension is applicable to hexagonal and other nonrectangular lattices; such sampling schemes can be as efficient as rectangular sampling.
ISSN:0018-9219
DOI:10.1109/PROC.1972.8615