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Homework Help: Fourier Series of Even Square Wave

  1. Mar 7, 2012 #1
    1. The problem statement, all variables and given/known data
    [itex]-0.5\leq{t}\leq{1.5}, T=2[/itex]
    The wave is the attached picture.

    I need to determine the Fourier Series of the wave in the picture.

    I know that [tex]f(t)=a_0+{\sum}_{n=1}^{\infty}a_ncos(n\omega_0t)+{\sum}_{n=1}^{\infty}b_nsin(n\omega_0t)[/tex]

    where [itex]a_0=\bar{f}=0[/itex] due to being an even function. Furthermore, [itex]b_n=0[/itex] due to being an even function also.

    That leaves,


    Is this suffice as an answer, or am I missing something? My textbook is lacking examples so I just would like to know if I am doing it right. Thanks!

    Attached Files:

    • wave.jpg
      File size:
      10.5 KB
  2. jcsd
  3. Mar 7, 2012 #2
    I also had encountered another equation deeper in the chapter that states
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