Fourier Series

  • Thread starter Goalie_Ca
  • Start date
  • #1
102
0
Okay. so i have a problem that i'm finding tricky to work backwards from.
I'm given the coefficients

Period 4 and x(t) is continuous.
a_{k} = 0 if k=0
a_{k} = j^k*sin(k*Pi/4)/(k*Pi) if k!=0

Supposed to find x(t).

Now i've tried a few things but have come up with many different answers. Mostly I am confused as they all depend on the value of k. I am obviously lost as to how to reverse this.
 

Answers and Replies

  • #2
102
0
Meh. Nm. i read ahead and used the fourier transform pairs table. Also noting that j^k gives exp(j*k*Pi/2) which is just a phase shift to the square wave.
 

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