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Infinite sum of heviside functions

  1. Jan 20, 2012 #1
    1. The problem statement, all variables and given/known data
    how can i find the infinite sum of heviside functions?...

    i have this func:
    f(t) = sum[n=-infinity to infinity] (-1)^n*[u(t)-(u(t-T))]
    where T is a period time..
     
  2. jcsd
  3. Jan 20, 2012 #2

    Ray Vickson

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    The notation is ambiguous. Do you mean [tex] f(t) = \sum_{n=-\infty}^{\infty} (-1)^n [u(t) - u(t-T)], [/tex] or do you mean [tex] f(t) = \sum_{n=-\infty}^{\infty} (-1)^{n [u(t) - u(t-T)]} ?[/tex] In any case, the function g(t) = u(t) - u(t-T) is 1 for 0 <= t < T and is zero for other values of t. That should allow you to easily examine your infinite series.

    RGV
     
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