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#X text 256 635 waveshaper;
#X text 425 791 updated for Pd version 0.37;
#X text 157 326 frequency;
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#X text 21 3 This subpatch computes the spectrum of the incoming signal
with a (rectangular windowed) FFT. FFTs aren't properly introduced
until much later.;
#X text 83 61 signal to analyze;
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#X text 229 724 <-- repeatedly;
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#X text 17 21 Instead of using the two cosines as FM carrier oscillators
\, we can use them as ring modulators for a natural or synthetic tone.
Here we use waveshaping - to wit \, a sinusoid looking up a Gaussian
bell curve. This has the nice properties that the partials are always
positive cosines in phase \, and the spectrum spreads out smoothly
as the index changes.;
#X text 98 1 PAF: TWO-COSINE RING MODULATOR FOR WAVESHAPER;
#X text 17 253 Then with ~* we do the ring modulation and we're done.
This is the PAF (phase-aligned formant) synthesis algorithm (patented
1993 by IRCAM).;
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#X text 17 129 For phase coherency \, the waveshaper and the cosine
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is done using a symmetric curve \, its output is at double the frequency
of the input. So for each cycle of the phasor we compute a half-cycle
of the sine function (by multiplying by 0.5 and subtracting 0.25 before
the cosine lookup). We center the cosine output for lookup in a 200-point
table containing a bell curve.;
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