[sdiy] Walsh bank, was: Re: [sdiy] Micro as a Linear to Exponential converter?

[Scott Nordlund]

> And both Fourier and Walsh synthesis have the same control problem -
> how do you easily shape the dynamic evolution of many harmonics/
> functions over time? After all, I don't want to spend my *whole* life
> setting up envelope generator parameters...

I'm not sure if you can easily get smooth transitions between 
waveforms by just interpolating the Walsh coefficients either.  For 
high resolution Walsh synthesis, I would expect the territory 
immediately between sin(1*f*t) and sin(2*f*t) would be a buzzy mess, 
right?  So if you wanted to take a "timbre frame" approach, you'd 
have to do the interpolation of the Fourier domain and then do the
complete transform to get the Walsh coefficients.  But you could 
simply interpolate the PCM (or pulse amplitude modulation, or 
whatever) to get the desired effect.

> Don't get me wrong - I'd love it if Walsh provided an easy, efficient
> way to generate arbitrary waves, but I don't see it yet.

I don't see any advantages versus directly generating the signal.  As 
far as manual coefficient twiddling is concerned, especially.  Maybe, 
given sufficient work, it has something to offer, but I'd take the 
fact that it hasn't really been used a lot as a bit of a hint.

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