Gibbs' phenomenon for sampling series and what to do about it

DOI10.1007/BF02476033zbMath0928.42024OpenAlexW2048199795MaRDI QIDQ1271497

Gilbert G. Walter, Hong Tae Shim

Publication date: 21 January 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59570

zbMATH Keywords

orthogonal expansionsorthogonal seriessampling seriesGibbs' phenomenonwavelet interpolating series

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (4)

Gibbs' phenomenon in higher dimensions ⋮ Hybrid sampling series associated with orthogonal wavelets and Gibbs phenomenon. ⋮ Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis ⋮ On the Gibbs–Wilbraham Phenomenon for Sampling and Interpolatory Series

Cites Work

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• The sampling theorem and linear prediction in signal analysis
• A Gibbs phenomenon for spline functions
• The Gibbs phenomenon for Fourier interpolation
• On the Gibbs phenomenon for wavelet expansions
• Gibbs phenomenon for wavelets
• Ten Lectures on Wavelets
• Some Results on the Convergence of Sampling Series Based on Convolution Integrals

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