Wavelet transform modulus maxima method: Difference between revisions

Revision as of 15:06, 14 April 2011

Revision as of 15:11, 14 April 2011

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The '''Wavelet Transform Modulus Maxima (WTMM)''' is a method for detecting the [[fractal dimension]] of a signal.

More than this, the WTMM is capable of partitioning the time and scale ___domain of a signal into fractal dimension regions, and the method is sometimes referred to as a "mathematical microscope" due to its ability to inspect the multi-scale dimensional characteristics of a signal and possibly inform about the sources of these characteristics.

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Arneodo on Wavelets [http://www.iscpif.fr/tiki-index.php?page=CSSS'08+Arneodo&highlight=towards]

Wavelets and multifractal formalism for singular signals : application to turbulence data

J.F. Muzy, E. Bacry and A. Arneodo, Phys. Rev. Lett. 67, 3515 (1991). [http://prl.aps.org/abstract/PRL/v67/i25/p3515_1]

Multifractal formalism for fractal signals: the structure fonction approach versus the wavelet transform modulus maxima method.

J.F. Muzy, E. Bacry and A. Arneodo, Phys. Rev. E 47, 875

[http://pre.aps.org/abstract/PRE/v47/i2/p875_1]

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