Convolution of periodic signals, Stuck on a particular quesrtion

Discussion in 'Homework Help' started by paddy353, Aug 15, 2008.

  1. paddy353

    Thread Starter New Member

    Aug 15, 2008
    2
    0
    Hey everybody,

    My summer exam in signals didnt go so well failed by 4%, but my worst question was convolution of periodic signals. I'm trying to solve it using my textbook but I feel i'm drawing blanks. I have attached a simplified form of the question. And my latest solution, please take a look and any advice ye can give me would be greatly appreciated!

    Thanks
     
  2. blazedaces

    Active Member

    Jul 24, 2008
    130
    0
    I didn't look at the whole thing. But I found a mistake right away in your DTFT of x[n]. I'll remind you of the following property

    Time shift:
    x[n+k] <-------DTFT-------> X(e^(j*omega))*e(j*omega*k)

    Sin(Pi/4*n+Pi/8) = Sin(Pi/4*(n+2))

    Good luck,
    -blazed
     
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