Wavelet transform modulus maxima method: Difference between revisions

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Created page with 'The Wavelet Transform Modulus Maxima (WTMM) is a method for detecting the fractal dimension [http://en.wikipedia.org/wiki/Fractal_dimension] of a signal. More th...'
 
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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 use signal processing.
 
== Application to Analysis of Networks ==
 
As of this writing, with a few exceptions, this method has not been widely applied to network analysis.
[http://onlinelibrary.wiley.com/doi/10.1002/047120644X.ch2/summary]
[http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=998080&tag=1]
However, due to scaling factors and phase transition phenomena found widely in network analysis, it is not unreasonable that multi-fractal methods and the mathematics behind them can be brought to bear. Recent developments in fractal dimension of networks are compelling. [http://en.wikipedia.org/wiki/Fractal_dimension_on_networks]
 
== References: ==