Wavelet analysis and chirps

DOI10.1006/acha.1997.0214zbMath0960.94006OpenAlexW2061836204MaRDI QIDQ1372772

Hong Xu, Yves Meyer

Publication date: 30 October 1997

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1997.0214

zbMATH Keywords

wavelet transformschirp-like signalsgeneralized two-microlocal spacesinfinitely oscillating function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11)

Related Items (16)

Widths of embeddings of 2-microlocal Besov spaces ⋮ Reconciling alternate methods for the determination of charge distributions: a probabilistic approach to high-dimensional least-squares approximations ⋮ Entropy numbers of embeddings of some 2-microlocal Besov spaces ⋮ Fractal oscillations of chirp functions and applications to second-order linear differential equations ⋮ Fractal oscillations of self-adjoint and damped linear differential equations of second-order ⋮ Wavelet techniques for pointwise regularity ⋮ Variable 2-microlocal Besov-Triebel-Lizorkin-type spaces ⋮ On various approaches to Besov-type spaces of variable smoothness ⋮ Function Spaces Vs. Scaling Functions: Tools for Image Classification ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ Representation of the singularities of a function ⋮ WAVELET ANALYSIS OF CHIRPS CONSTRUCTION ON Hs ⋮ On lacunary wavelet series. ⋮ Wavelet analysis of fractal boundaries. I: Local exponents ⋮ Traces of oscillating functions ⋮ Generalized spaces of pointwise regularity: toward a general framework for the WLM

Cites Work

• Wavelet methods for pointwise regularity and local oscillations of functions

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