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

 

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

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