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Homework Help: Fourier Series questions

  1. May 12, 2010 #1
    1. The problem statement, all variables and given/known data
    Consider the following equation for the fourier series:
    f(t) = SUM k=1->infinity (Ck * sin(k*pi*t)

    What is the meaning of the Ck terms?
    What is the importance of the K=1 term?

    2. Relevant equations



    3. The attempt at a solution
    Ck = Fourier Coefficents. They are the amplitudes of each term of the series, they will determine the shape of the final wave?

    The k = 1 term is the "DC" or constant/mean of the series?
     
  2. jcsd
  3. May 12, 2010 #2

    jbunniii

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    The k=1 term is clearly not the constant/mean, because it is associated with [itex]\sin(\pi t)[/itex]. The k=0 term is the constant/mean. In your case the k=0 term is 0.
     
  4. May 12, 2010 #3
    I'm lost as to what the significance of the n=1 term could be over any other term then, other than the most dominant?
     
  5. May 12, 2010 #4

    jbunniii

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    The k=1 term is the so-called "fundamental":

    http://en.wikipedia.org/wiki/Fundamental_frequency

    Aside from that, I don't know what the question's author is looking for.

    It is not necessarily the most dominant; in fact, there's nothing preventing [itex]C_1 = 0[/itex].
     
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