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Zbl 0960.94006
Meyer, Yves; Xu, Hong
Wavelet analysis and chirps. (English)
[J] Appl. Comput. Harmon. Anal. 4, No.4, 366-379 (1997). ISSN 1063-5203

Summary: ``The authors propose a general model for chirp-like signals. The analytical structure of these chirps is given in the form $|x|^s g(x/|x|^{1+\beta})$, where $g$ is an $L^p$ infinitely oscillating function like $\sin(x)$. Under suitable assumptions, they achieve a characterization of the chirps by means of their wavelet transforms.'' \par Only the central theorems are proved here whereas for detailed and complete proofs the reader is referred to the second author's thesis ``Généralisation de la théorie des chirps à divers cadres fonctionnels et applications à leur analyse par ondelettes'', Thèse, l'Université Paris Dauphine.

MSC 2000:: *94A11 Application of orthogonal functions in communication
42C40 Wavelets
94A12 Signal theory

Keywords: generalized two-microlocal spaces; chirp-like signals; infinitely oscillating function; wavelet transforms

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