Quote:
Originally Posted by
xanderbeanz
I’ll have to chat to the book’s author about this. This book did discuss how to perform waveshaping in a phase modulation-type architecture, so I assumed, at first glance, that he was smarter than me and I was missing something.
F**k me! While I know, that yours is recipe for phase modulation, as f(x-a) is moving function f(x) by a, I also know, that my first two suspects are incorrect. Now I am tired as hell and also unable to sleep without trying to solve that. Anyway: here is my little thought experiment.
(I cut my formulation of Dirichlet conditions)
One cannot simply add modulator to frequency. One problem is, that taking formula as it is, would simply cut final wave because at point of change, because sine with double frequency would be at 0 point going down. It should be moved to match cycle amount passed. I could simply add that with phase modulation ;]
But I am worried that I might end up without general solution. The only thing that comes to mind, to be sure, is to use derivatives, calculating df(x)/dx at point x as a function of f(x). So to speak. Need to formulate it. Right now I try to let it go, simultaneously being excited by problem that is to solve...