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Math Help - heaviside function

  1. #1
    Newbie
    Joined
    Apr 2010
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    heaviside function

    does anyone can tell me if the fuction for this graphic it is ok?
    [YOUTUBE][/YOUTUBE]


    i have this

    f(t)=
    4sin(t) for 0 ... 2
    0 for all tohe value

    is that ok?

    thanks
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  2. #2
    Senior Member
    Joined
    Jan 2010
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    Close, but if it was 4 \sin t, then the period would be 2\pi so the half period (which is what is shown) should be \pi wide, but in the graph it extends from 0 to 2. To fix it we can scale the function by a factor of \frac{2}{\pi}. To do so requires replacing t with \frac{\pi}{2} \, t, giving:

    f(t) = \begin{cases} 4 \sin \left( \frac{\pi t}{2} \right) , & \mbox{if } 0 \le t \le 2 \\ 0, & \mbox{elsewhere} \end{cases}
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  3. #3
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    Joined
    Apr 2010
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    thanks I got it but now I cant calculate the approximate mean square error, does anyone can help me, I know Im doing something worng because the valeu I got is -16 as should be 0,xx because it is a percentage.

    cheers
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