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"k" rate noise in Csound) I would like to be able to specify noise with: 1 - A certain lower bounding frequency. In the future I intend to write a Csound / Quasimodo unit generator for "a" or "k" rate output, of an "industrial" quality, rather than "analytical" grade.
Since power is proportional to amplitude squared, the energy per Hz will decline at higher frequencies at the rate of about -3d B per octave.
To be absolutely precise, the rolloff should be -10d B/decade, which is about 3.0102999 d B/octave.
Hopefully this material will be of value to other fields as well.
(For general DSP information, see the FAQ of Usenet newsgroup comp.dsp, and the FAQs it mentions: .) In 1999, when I wrote most of this page, I used a Park Miller PRNG, as I wrote at: ../../csound/ .
In this way, precise control over the noise frequency distribution could be achieved without changing the RMS level of the noise.
I will leave this idea for now, but it would be mighty handy! However, a DSP or analogue electronic low pass filter with a -3d B/octave response is (or rather, was) a rare beast indeed. (Paul Kellet contributed two earlier filters to those listed here.) Such a filter would be fed with white noise to produce pink, within certain limits of accuracy.
The "white" refers to the even distribution of wavelengths in white light, with a particular meaning in the audio or DSP sense: that the power of the noise is distributed evenly over all frequencies, between 0 and some maximum frequency which is typically half the sampling rate. Wisniewski on the "Colors of Noise", including white, pink, orange, green . A straightforward example would be that there is as much noise power in the octave 200 to 400 Hz as there is in the octave 2,000 to 4,000 Hz.
For instance, white noise at a sampling rate of 44,100 Hz will have as much power between 100 and 600 Hz as between 20,000 and 20,500 Hz. Consequently, it seems, our ears tell us that this is a "natural" even noise. Wentian Li maintains a formidable bibliography on 1/f noise at: However, prior to me creating this page, it mentioned nothing to do with generating 1/f noise with Digital Signal Processing techniques.
Below the algorithms is Allan Herriman's graphical analysis of the response of these three filters.
The first description I am aware of is from Robert Bristow-Johnson has been updated on several occasions and now (1999 October 17) contains two implementations, located here: is "is accurate to within /-0.05d B above 9.2Hz (44100Hz sampling rate)." 2011-03-20 update: the music-DSP archives are at: several items relating to pink noise, but I am not sure which of these, if any, are the referred to above.
The most obvious use of pink noise is as an audio signal, to be used directly, to be filtered or to be used to modulate something.Tags: Adult Dating, affair dating, sex dating