noise type...

Robin Whittle rw at
Fri Nov 27 19:35:14 EST 1998

Regarding Pseudo-Random Number Generators for DSP noise, see:

for how I searched for a 31 bit PRNG and settled on a public domain 
implemention by Ray Gardner of a Park-Miller linear congruential PRNG 
which works fine with 32 bit integer calculations.

Regarding -3dB filtering . . . 

Stuart Dimond wrote:

> A filter with a roll-off of 3 dB per octave will convert the 
> spectrum from white to pink. White noise has equal energy per 
> frequency. Pink noise has equal energy per octave. 

We had an interesting discussion on this list at the start of July 
regarding pink noise.  A 3 pole -3dB filter was proposed, but I 
didn't pursue this area.  I still have some homework to do before I 
understand DSP filtering enough to implemen this in C.

> Date sent:      	Tue, 30 Jun 1998 21:48:08 -0700
> From:           	robert bristow-johnson <pbjrbj at>
> Subject:        	Re: Generating pink = 1/f noise

> >   "Orfanidis also mentions a clever way to get reasonably good 1/f
> >   noise: sum together n randh's, where each randh is running an
> >   octave slower than the preceding (one):"
> >
> >This is a reference to Sophocles Orfanidis' book "Introduction to
> >Signal Processing":
> >
> >
> >
> >This sounds like a pretty good way to do it.
> another method that Orfanidis mentions came from a comp.dsp post of
> mine. it's just a simple "pinking" filter to be applied to white
> noise.  since the rollof is -3 dB/octave, -6 dB/octave (1st order
> pole) is too steep and 0 dB/octave is too shallow.
> an equiripple approximation to the ideal pinking filter can be
> realized by alternating real poles with real zeros.  a simple 3rd
> order solution that i obtained is:
> 	pole            zero
> 	----            ----
> 	0.99572754      0.98443604
> 	0.94790649      0.83392334
> 	0.53567505      0.07568359
> the response follows the ideal -3 dB/octave curve to within + or -
> 0.3 dB over a 10 octave range from 0.0009*nyquist to 0.9*nyquist. 
> probably if i were to do it over again, i'd make it 5 poles and 4
> zeros.
> r b-j
> pbjrbj at   a.k.a.   robert at
>                      a.k.a.   robert at
> "Don't give in to the Dark Side.  Boycott intel and microsoft."

Thanks for this Robert! I will give it a go when I have done my 
homework by reading C. Britton Rorabaugh's "Digital Filter Designer's 
Handbook 2nd Ed."

- Robin


Robin Whittle     rw at
                  Heidelberg Heights, Melbourne, Australia 

First Principles  Research and expression: music, Internet 
                  music marketing, telecommunications, human 
                  factors in technology adoption. Consumer 
                  advocacy in telecommunications, especially 
                  privacy. Consulting and technical writing. 

Real World        Electronics and software for music: eg.
Interfaces        the Devil Fish mods for the TB-303. 


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