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

[Charles Henry]

On 8/20/06, Mathieu Bouchard <matju at artengine.ca> wrote:
> Why do you say "fractal" ?

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).

Note: the fractal-ness of this noise is compromised by having a sampled signal
It's a true fractal only when considered as a continuous function.
But for large enough windows (where the sampling effects can be
basically neglected), it acts like a fractal.

Chuck

P.S. sorry Mathieu for the redundant messages