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Homework Help: Exponential Fourier Series for Pulse Train

  1. Apr 27, 2008 #1
    1. The problem statement, all variables and given/known data

    I need help finding the exponential Fourier series for the pulse train below.

    http://img329.imageshack.us/img329/1184/20080427091409ev5.jpg [Broken]


    2. Relevant equations

    [tex]p_T(t)=\sum_{n=-\infty}^{\infty}{D_n e^{j2nt}[/tex]

    [tex]D_n=\frac{1}{T_0}\int_{T_0}^{}{x(t)e^{-j2nt}dt}[/tex]


    3. The attempt at a solution

    http://img74.imageshack.us/img74/2376/20080427093457iy6.jpg [Broken]

    I know that D0=0.2. However, I cannot evaluate my final answer for n=0 because I have n in the denominator. Where am I going wrong?
     
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Apr 27, 2008 #2
    The first line in your attempted solution has an error: you need to either include x(t) inside the integral, or change the limits of integration.
     
  4. Apr 27, 2008 #3
    I forgot to label on the graph that the magnitude of pt(t) is 1. Why can't I integrate from 0 to 0.4x10^-3 and multiply by 2 since there is even symmetry?
     
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