Reconstructing Signals from Aperture-Filtered Samples

DOI10.1080/00029890.2022.1993712zbMath1480.94018OpenAlexW4200262448MaRDI QIDQ5020267

David G. Long, Reinhard O. W. Franz

Publication date: 5 January 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2022.1993712

zbMATH Keywords

band-limited functionsPaley-Wiener space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inverse problems in linear algebra (15A29) Numerical methods for trigonometric approximation and interpolation (65T40) Sampling theory in information and communication theory (94A20)

Cites Work

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• Finite frames. Theory and applications.
• Generalized average sampling in shift invariant spaces
• A discrete theory of irregular sampling
• The art of frame theory
• Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
• Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
• Reconstruction Algorithms in Irregular Sampling
• An introduction to frames and Riesz bases

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