[sdiy] FM math question

[Ian Fritz]

At 01:43 PM 10/16/2008, harrybissell at wowway.com wrote:

>I have some simulations and the end result does look like a modulated sine
>wave.  Now if you make each cycle REALLY non-linear... that will not be the
>case anymore.

Thanks for your results.

I have been trying to be too fancy about this -- imagining the spectrum of 
the modulated Saw and then how the shaper would effect each component.

Instead -- as everyone keeps saying -- since the phase angle is the same in 
the two cases the non-linearities are irrelevant.  In other words, for a 
Sin core the signal is

Sin(Wo*t + m*Cos(Wm*t)  = Sin(phase),

and for the Saw core plus shaper it is

Shaperfunction(Sawwaveform(phase)) = Sin(phase).

Thanks everyone for beating this into me.  :-)

   Ian