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 > > > > +++++++++++++++++++++++++++++++