Exponential Fourier Series

Discussion in 'Homework Help' started by GirishC, Feb 3, 2010.

  1. GirishC

    Thread Starter Active Member

    Jan 23, 2009
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    Determine the Fourier series (one-sided) for the waveform in​
    Fig. 3.7. Evaluate your result for
    A ¼ 2, t ¼ 2 s, T ¼ 4 s.

    My question is What slope do I need to take between 0 to T.

    if I take t/T then I get wrong answer...could anybody tell me how to go about it?
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
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    I would take the slope as 1 between 0 and 2s and 0 between 2 & 4 sec.

    So
    x(t)=t for the interval t=0 to 2 seconds
    and
    x(t)=2 for the interval t=2 to 4 seconds
     
  3. GirishC

    Thread Starter Active Member

    Jan 23, 2009
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    0
    With this I got the Cn as below. How do I further respolve and calculate the first seven harmonics?

    I know I need to further evaluate it...but do not know how to proceed



    [​IMG]
     
  4. t_n_k

    AAC Fanatic!

    Mar 6, 2009
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    Would you mind re-posting your solution - I have a dead link.
     
  5. GirishC

    Thread Starter Active Member

    Jan 23, 2009
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    0
    Here is the attachment. My apologies for improper update.

    I am basically unable to understand how do I proceed in general to minimize the equation and eventually calculate the harmonics.
     
    • Cn.jpg
      Cn.jpg
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  6. t_n_k

    AAC Fanatic!

    Mar 6, 2009
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    782
    Assuming your general solution is correct you would make the substitutions for given values of T, \tau and A.

    Then you would apply the Euler identities where applicable and evaluate each term for the required harmonic numbers n.
     
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