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Signal Representation and Segmentation based on Multifractal Stationarity

Khalid Daoudi 1 Jacques Lévy Véhel 2
1 PAROLE - Analysis, perception and recognition of speech
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a new scheme for signal representation which is well suited for the study of multifractal features. In particular, our approach, which is based on the use of Weakly Self Affine functions, allows to segment a signal into parts which are ``multifractally homogeneous''. Furthermore, it opens the possibility of estimating non concave multifractal spectra, a valuable improvement for many practical applications such as Internet traffic modeling.
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Submitted on : Friday, November 13, 2020 - 1:13:54 PM
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Khalid Daoudi, Jacques Lévy Véhel. Signal Representation and Segmentation based on Multifractal Stationarity. Signal Processing, Elsevier, 2002, 82 (12), pp.2015-2024. ⟨10.1016/S0165-1684(02)00198-6⟩. ⟨inria-00100882⟩



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