[music-dsp] [ot] DSP, complex numbers, fractals, and crazy stuff
Michael A. Pocino
michael.pocino at aspi.com
Mon Oct 29 14:58:27 EST 2001
Hmmm... maybe if you visualize the filter in the Z plane your fractal
pictures could be applied more directly. Complex plain with origin at
center sounds kind of like a pole-zero plot waiting to happen to me.
Also, a lot of the really interesting stuff (sound wise) is time-varying
or nonlinear. I don't know how you would relate that to a static
fractal plot. Maybe you could you could do something time-varying where
instead of varying filter cutoff, you could vary the complexity of the
fractal that is generating the poles and zeroes (I don't know enough
about fractals to know whether that makes any sense).
Anig Browl wrote:
> Now fractal pictures are usually maps of the complex plane with 0,0 as their
> centre point, while filter curves (or fft plots, or...) are usually shown in
> the positive quadrant of amplitude and frequency (0-1). So I started
> imagining these DSP graphs like filter curves mirrored in the negative of
> both real and imaginary axes, and the resulting 'butterflies' begin to
> strike me as the kind of shapes that I get out of things like fractint when
> I can find time to play with it.
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