Wavelet transform modulus maxima method: Difference between revisions

Revision as of 14:59, 12 April 2011

Revision as of 15:01, 12 April 2011

Line 1:

The Wavelet Transform Modulus Maxima (WTMM) is a method for detecting the [[Fractal_dimensionfractal_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.

The WTMM method uses [[continuous_wavelet_transform]] rather than fourier transforms[http://en.wikipedia.org/wiki/[Fourier_transform]]s to detect singularities[http://en.wikipedia.org/wiki/[[Mathematical_singularity|singularity]]] - that is discontinuities, areas in the signal that are not continuous at a particular derivative.

In particular, this method is useful when analyzing multifractal [http://en.wikipedia.org/wiki/[Multifractal]] signals, that is, signals having multiple fractal dimensions.

== Description ==