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
    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!

  2. blazedaces

    Active Member

    Jul 24, 2008
    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,