i was wonderin if anyone new how to construct a sine wave that had a pulse randomly, sort of like this Superposition Principle
but that there are little waves all around it and suddenly there is a pulse
help would be appreciated
i was wonderin if anyone new how to construct a sine wave that had a pulse randomly, sort of like this Superposition Principle
but that there are little waves all around it and suddenly there is a pulse
help would be appreciated
Don't you just literally add the sine waves? something like:
$\displaystyle A_{1}\sin(\omega t+\alpha) + A_{2}\sin(\omega t+\alpha) +... $
I think thats all you have to do. As for finding something with an exact pattern that you posted I'm not sure, but I think it could also be done by expressing the amplitude of the wave as a function of t so:
$\displaystyle A\sin(\omega t+\alpha) $
becomes...
$\displaystyle f(t)\sin(\omega t+\alpha) $
...like how in a damped wave, the amplitude decreases exponentially. In this case you would need a sort of bell shaped graph. even maybe f(t) = -t^2 + peak amplitude?