Fall 2003: Quiz 1 NAME: Work Page for Problem 2 sn= an]* hs[n* h2/n (x]*h2n])*h n=pn+d(n is as defined in Part b. Therefore, we already know(a[n]* h2n))from Part b n]* h2/n 2 Now we just need to convolve the above signal with hs n. We can do this convolution with nipping and sliding hs In hs(n-k 2 n-1 +1 The result is the desired ys [n] and is shown on page 8−2 1 Fall 2003: Quiz 1 NAME: Work Page for Problem 2 ys[n] = x[n] ↔ ↔ hs[n] h2[n] = (x[n] ↔ h2[n]) ↔ hs[n] x[n] = p[n] + d[n] is as defined in Part b. Therefore, we already know (x[n] ↔ h2[n]) from Part b. −7 −6 −5 −4 −3 −1 2 3 4 5 6 7 x[n] ↔ h2[n] n 2 2 −1 −2 2 −3 Now we just need to convolve the above signal with hs[n]. We can do this convolution with flipping and sliding hs[n]. hs[n − k] 2 k 1 1 n − 1 n n + 1 The result is the desired ys[n] and is shown on page 8. 9