High-order orthonormal scaling functions and wavelets give poor time-frequency localization.

DOI10.1007/S00041-001-4035-2zbMath1055.42507OpenAlexW2065051763MaRDI QIDQ1386220

Charles K. Chui, Jian-zhong Wang

Publication date: 14 May 1998

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

Full work available at URL: https://eudml.org/doc/59488

zbMATH Keywords

waveletsregularitysinc functionsorthonormal scaling functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

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Optimal functions for a periodic uncertainty principle and multiresolution analysis ⋮ Heisenberg inequalities for wavelet states ⋮ Convergence and Regularization of Sampling Series ⋮ Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients ⋮ Uncertainty product of the spherical Gauss–Weierstrass wavelet ⋮ Uncertainty constants and quasispline wavelets ⋮ Periodic wavelet frames and time-frequency localization

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