Content deleted Content added
Nelagnelag (talk | contribs) No edit summary |
Nelagnelag (talk | contribs) |
||
Line 25:
:<math>X_w(a,b)=\frac{1}{\sqrt{a}} \int_{-\infty}^{\infty} x(t)\psi^{\ast}\left(\frac{t-b}{a}\right)\, dt</math>
where <math>\psi(t)</math> is a continuous function in both the time ___domain and the frequency ___domain called the mother wavelet and <math>^{\ast}</math> represents the operation of [[
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".
Line 33:
The WTMM is then capable of producing a "skeleton" that partitions the scale and time space by fractal dimension.
== History ==
| |||