# Thread: [SOLVED] sine wave pulses help

1. ## [SOLVED] sine wave pulses help

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

2. Don't you just literally add the sine waves? something like:

$A_{1}\sin(\omega t+\alpha) + A_{2}\sin(\omega t+\alpha) +...$

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:

$A\sin(\omega t+\alpha)$

becomes...

$f(t)\sin(\omega t+\alpha)$

...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?