Your idea seems to bear a few similarities to this (just in case you
haven't seen it already):

On Mon, Apr 2, 2018 at 2:46 PM, gm <> wrote:

> I don't know if this idea is new, I had it for some time but have never
> seen it mentioned anywhere:
> Use a filter with high q and rotate it's (complex) output by the (real)
> output
> of another filter to obtain a phase modulated sine wave.
> Excite with an impulse or impact signal.
> It's basically crossed between modal and phase modulation synthesis.
> Now there are some ideas to this to make it practical and a useful
> substitute for phase modulation and FM:
> You can use a state variable filter with an additional allpass instead of
> the complex filter to obtain a filter you can pitch modulate in audio
> (useful for drum synthesis ect) (or maybe the 90 shift can be designed
> more efficiently
> into the SVF IDK.)
> Instead of expensive trig calculations for the rotation, or using
> the normalized complex signal form the other filter (also expensive)
> just use a very coarse parabolic sine/cosine approximation and the real
> signal,
> the difference is really very small sonically, since the modulator is
> still sine
> and the radius stays around 1 so it's the effect of a small amplitude
> modulation on the modulator
> caused by the slight deviation of the circle.
> I couldnt tell the difference when I tested it first.
> You need 7 mults and 4 adds in addition to the SVF for the AP and rotation
> per carrier.
> But you save an envelope for each operator and have a pretty efficient
> sine operator with the SVF.
> And you get all the benfits of phase modulation over frequency modulation
> of the
> filter cutoff.
> It's very useful for drum synthesis but also useful for some other
> percussive sounds like "FM" pianos etc.
> Here is an audio demo, with cheap "soundboard" and some other fx added:
> I wonder if this idea is new?
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