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Math Help - [SOLVED] sine wave pulses help

  1. #1
    bender
    Guest

    [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
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  2. #2
    Member Greengoblin's Avatar
    Joined
    Feb 2008
    From
    UK
    Posts
    182
    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?
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