[PD] Colored (fractal, 1/f^a) noise generator for PD

[Mathieu Bouchard]

On Sun, 20 Aug 2006, Charles Henry wrote:

> 1/f^a noise is a fractal because it is self similar under different size 
> windows. 1/(kf)^a = 1/k^a * 1/f^a, so the magnitude of spectrum viewed 
> over a different window is just scaled by a certain amplitude.  The same 
> applies to the time domain as well (but it has to be interpreted as a 
> probability function).

Then by this standard, the 1/x function is self-similar, and so are all 
hyperbolas. That is, as long as similarity is defined as modulo the group 
of diagonal matrices conjugated by rotation matrices.

Isn't the definition of fractal requiring some kind of noninteger 
Hausdorff dimension?

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| Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju
| Freelance Digital Arts Engineer, Montréal QC Canada