[sdiy] A new shade of pink (noise)

[Tom Wiltshire]

There’s an interesting paper by Stefan Stenzel on Github, describing a new digital pink noise generation algorithm:


https://github.com/Stenzel/newshadeofpink/blob/master/newshadeofpink.pdf


Has anyone seen this? I’ve read it, but there’s one thing I don’t understand. In the paper, he talks about taking multiple 1-bit noise sources (as you would in the Voss0-McCartney algorithm) but instead of using a “zero order hold” (e.g. “stretching” each sample) to decrease the sample rate, he uses linear interpolation.
This is the bit I don’t get - how do you linearly interpolate a 1-bit signal? There’s nothing in between!
He mentions at one point that the digital signal is to be interpreted as -1 or +1, which would mean that there is a 0 between the two values, but I still don’t understand how that makes sense when it’s a digital signal and not a bit of signal processing maths formula.

Any clarifications appreciated. I’d like to understand this method better, but the paper is very brief, assumes quite a lot of background I don’t have, and doesn’t provide any worked examples for illustration.

Many thanks,
Tom


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