20 Aug
2006
20 Aug
'06
8:05 p.m.
On 8/20/06, Mathieu Bouchard matju@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