La décomposition en ondelettes périodiques, un outil pour l’analyse de champs inhomogènes. Théorie et algorithmes. (Periodical wavelet analysis, a tool for inhomogeneous field investigation. Theory and algorithms). (French) Zbl 0688.76012

Perrier, V.; Basdevant, C.

Rech. Aérosp. 1989, No. 3, 53-67 (1989).

Summary: Results and algorithms on wavelet analysis in the one-dimensional periodic case are reviewed. We restate the wavelet construction method and particularly the important example of spline wavelets. Lastly, new idea of overdefined analysis is presented together with a dedicated fast algorithm.

MSC:

76B15	Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M99	Basic methods in fluid mechanics
65D99	Numerical approximation and computational geometry (primarily algorithms)

Keywords:

wavelet analysis; one-dimensional periodic case; wavelet construction method; spline wavelets