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Re: algorithm to generate 1/f noise

• To: mathgroup at smc.vnet.net
• Subject: [mg22233] Re: algorithm to generate 1/f noise
• From: joegwinn at mediaone.net (Joe Gwinn)
• Date: Fri, 18 Feb 2000 02:35:23 -0500 (EST)
• Organization: Gwinn Instruments
• References: <8889s2$c5o@smc.vnet.net> <88ekch$rf1$5@dragonfly.wolfram.com>
• Sender: owner-wri-mathgroup at wolfram.com

There was an article in The Proceedings of the IEEE titled "1/f Noise"
twenty or thirty years ago, if memory serves.  The subject index will
certainly have this article under "noise" and/or "1/f noise" or "noise,
1/f"This article gave simple ways to generate 1/f noise from a uniformly
distributed noise.  The basic approach was a cascade of one-pole lowpass
filters, each with one tenth the bandwidth of the previous filter, fed
with uniform noise.

Joe Gwinn

In article <88ekch$rf1$5 at dragonfly.wolfram.com>, Artlandia Info
<info at artlandia.com> wrote:

> As a basic recipe for generating noises with arbitrary spectra,
> one would: take a piece of white noise -> Fourier-transform it ->
> multiply by a suitable kernel -> inverse-transform back to the
> time domain.
> 
> As to the implementation, you might have a look at Artlandia
> (http://www.artlandia.com). Particularly, see examples at 
> http://www.artlandia.com/software/lab/
> 
> 1/f noise (also called NaturalArray) is used quite extensively
> in the package (albeit for the artistic purposes which might
> not be want you want :-).
> 
> Hope this helps.
> 
> Igor Bakshee   
> 
> 
> David E. Burmaster wrote:
> > 
> > Hi
> > 
> > Can anyone point me towards a good algorithm or package to generate 1/f
> > noise in a time series using Mathematica??
> > 
> > Pointers to books and articles (using Mathematica) also appreciated!
> > 
> > many thanks, and
> > best wishes
> > Dave
> > 
> > ++++++++++++++++++++++++++++++
> > David E. Burmaster, Ph.D.
> > Alceon Corporation
> > POBox 382669
> > Harvard Square Station
> > Cambridge, MA 02238-2669
> > 
> > Voice   617-864-4300
> > Fax     617-864-9954
> > 
> > Web     http://www.Alceon.com
> > Email   deb at Alceon.com
> > 
> > +++++++++++++++++++++++++++++++