Wavelet transform modulus maxima method: Difference between revisions

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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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Bacry, Muzy, and Arneodo were early users of this methodology. [http://prl.aps.org/abstract/PRL/v67/i25/p3515_1][http://pre.aps.org/abstract/PRE/v47/i2/p875_1] It has subsequently been greatly used in many fields that related to signal processing.
 
== References: ==
 
Alain Arneodo et al. (2008), Scholarpedia, 3(3):4103. [http://www.scholarpedia.org/article/Wavelet-based_multifractal_analysis]
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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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