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

Mathieu Bouchard matju at artengine.ca
Mon Aug 21 05:55:17 CEST 2006


On Mon, 21 Aug 2006, alberto.zin at poste.it wrote:

> if I'm not wrong, as long as it is white it is flat in spectral terms 
> but the distribution of amplitudes (probability density function, pdf) 
> of white noise can be gaussian, cauchy, uniform, etc. Therefore I'm not 
> sure that the spectrum is proportional to the pdf..

Sorry, my mistake. I was completely confused. The spectrum that we're 
talking about is actually the expectation of a random spectrum, which is 
the expectation of amplitude of each frequency separately, which doesn't 
say much about which pdf each frequency has.

Btw, the spectrum of white noise is not flat, it's just that 
the expectation of the spectrum is flat.

What does "uniform" mean in a situation where things are understood in 
terms of amplitude and phase? are the amplitudes selected in polar 
coordinates with the correct jacobian? if instead cos and sin components 
are selected uniformly, then the maximum amplitude will only be possible 
for four phases, which are the four corners of a square shape.

  _ _ __ ___ _____ ________ _____________ _____________________ ...
| Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju
| Freelance Digital Arts Engineer, Montréal QC Canada


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