Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals

DOI10.1080/00036818908839838zbMath0646.94004OpenAlexW1976202421WikidataQ58147217 ScholiaQ58147217MaRDI QIDQ3791073

G. Hinsen, Paul L. Butzer

Publication date: 1989

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818908839838

zbMATH Keywords

interpolationsampling theorybandlimited signalsnonuniform samplingmultidimensional samplingperiodic samplinghexagonal sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Communication theory (94A05)

Related Items (8)

Double sampling derivatives and truncation error estimates ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ Two-dimensional nonuniform sampling expansions an iterative approach. ii. reconstruction formulae and applications ⋮ IRREGULAR SAMPLING IN SHIFT INVARIANT SPACES OF HIGHER DIMENSIONS ⋮ On Green's function of two-parameter problems and sampling theory ⋮ Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations ⋮ Existence and uniqueness of spline reconstruction from local weighted average samples ⋮ A Generalized Sampling Theorem for Locally Compact Abelian Groups

Cites Work

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• On the \(L^ p\) theory of cardinal series
• Five short stories about the cardinal series
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Sampling approximation of continuous functions with multidimensional domain (Corresp.)
• A sampling theorem for irregularly spaced sample points (Corresp.)

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