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Complex Fourier Series HW

  1. Jul 22, 2017 #1
    1. The problem statement, all variables and given/known data
    Q:/ Find the complex form of fourier series for the following periodic function whose definition in one period is given below then convert to real trigonometry also find f(0).
    f(t)=cos(t/2), notes: (T=2*pi) (L=pi)


    2. Relevant equations
    1) f(t)=sum from -inf to +inf (Cn exp(j*n*(pi/L)*t)
    2) Cn=(1/2pi) *integration from -L to +L (f(t) exp (-j * n (pi/L)* t) *dt


    3. The attempt at a solution
    i failed at finding the solution to the Cn coefficient
     
  2. jcsd
  3. Jul 22, 2017 #2

    stevendaryl

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    Staff Emeritus
    Science Advisor

    Well, post what the equations look like when you substitute [itex]cos(t/2)[/itex] in for [itex]f(t)[/itex]. Also, for evaluating the integral, it might help to convert it to exponentials, using:

    [itex]cos(x) = \frac{1}{2} (e^{i x} + e^{-ix})[/itex]
     
  4. Jul 22, 2017 #3
    Hello,
    what do you want me to post ?
     
  5. Jul 22, 2017 #4
    here is part of the question
    7SYajnJ.jpg
     
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