Wavelet transform modulus maxima method: Difference between revisions

Revision as of 05:56, 10 August 2012

Revision as of 15:35, 17 October 2013

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By calculating <math>X_w(a,b) </math> for subsequent wavelets that are derivatives of the mother wavelet, singularities can be identified. Successive derivative wavelets remove the contribution of lower order terms in the signal, allowing the maximum <math>h_i</math> to be detected. (Recall that when taking derivatives, lower order terms become 0.) This is the "modulus maxima".

Thus, this method idenitifiesidentifies the singularity spectrum by convolving the signal with a wavelet at different scales and time offsets.

The WTMM is then capable of producing{{Vague}} a "skeleton" that partitions the scale and time space by fractal dimension.

== History ==