Singularités oscillantes et coefficients d'ondelettes dominants

Wavelet leaders have recently been shown to provide practioners with a robust and efficient tool for the multifractal analysis of signals and images. However, so far, their use remained restricted to the determination of spectra of singularities associated with Holder exponents. We introduce a declination of wavelet Leaders that plays the same role for oscillation exponents and we devise the corresponding multifractal formalism. This procedure is shown to allow the actual detection of the existence of oscillating singularities in empirical data.

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