Re: algorithm to generate 1/f noise

• To: mathgroup at smc.vnet.net
• Subject: [mg22135] Re: algorithm to generate 1/f noise
• From: Artlandia Info <info at artlandia.com>
• Date: Wed, 16 Feb 2000 02:34:54 -0500 (EST)
• Organization: Artlandia Inc.
• References: <8889s2\$c5o@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```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
>
> +++++++++++++++++++++++++++++++

```

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