One thing I've been thinking of lately for pd is to synthesize a impulse train with the poisson process. Many natural phenomena, like the timing of rain drops, can be simulated with the poisson process. It's just one of those ubitquitous relations that pops up everywhere.
A poisson process models a chain of events that occur with a density with respect to time. Each of the inter-event times is an exponential variable, which is easily calculatable, just as in the previous example. Take U1 a uniform variable on (0,1] , and calculate ln(U1). You've simulated a draw (observed value) from the exponential distribution, just like that. So, it's easy to make a message chain which does this calculation and outputs a series of bangs. What confuses me is whether it will be accurate in timing, and how to turn it into a series of impulses. I'm not sure I know how to do the rest of this problem.
My interest in making an impulse train is to make the impulses, which will have subtle deviations about a central frequency, and process them through a filter (formant).
I wonder what the spectrum of the poisson process looks like...
Chuck