11. Two sequences begin as shown. 3, 2,1,0,.. y/n]= 1,2,3,0,.. The convolution sum of the two sequences is vjn [uja n= [n]yln] = »[k]y{n_ k] xk]y[n- k] [n 2 0 0 (0 > u] What is the value of u0]? (A) 0 (B) 3 (C) 4 (D) 5 11. At n 0, the values of x(k and y[0- k for k-3 through 3 are 0,0,0,3, 2,1,0, .. y0 k 0, 3,2,1,0,0,0, The overlap of the input kj and the shifted signal y n- koccurs at k= 0 with the values of k= 3 and y/n kj 1. Their product is (3) (1) 3. At all other val- ues of k, either rkor yn - k is zero, so their product is also zero. Therefore, at n 0 the value of v0 is 3 The answer is (B).

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11. Two sequences begin as shown.
3, 2,1,0,..
y/n]=
1,2,3,0,..
The convolution sum of the two sequences is vjn
[uja
n= [n]yln] = »[k]y{n_ k]
xk]y[n- k] [n 2 0
0
(0 > u]
What is the value of u0]?
(A) 0
(B) 3
(C) 4
(D) 5
Transcribed Image Text:11. Two sequences begin as shown. 3, 2,1,0,.. y/n]= 1,2,3,0,.. The convolution sum of the two sequences is vjn [uja n= [n]yln] = »[k]y{n_ k] xk]y[n- k] [n 2 0 0 (0 > u] What is the value of u0]? (A) 0 (B) 3 (C) 4 (D) 5
11. At n 0, the values of x(k and y[0- k for k-3
through 3 are
0,0,0,3, 2,1,0, ..
y0 k 0, 3,2,1,0,0,0,
The overlap of the input kj and the shifted signal
y n- koccurs at k= 0 with the values of k= 3 and
y/n kj 1. Their product is (3) (1) 3. At all other val-
ues of k, either rkor yn - k is zero, so their product is
also zero. Therefore, at n 0 the value of v0 is 3
The answer is (B).
Transcribed Image Text:11. At n 0, the values of x(k and y[0- k for k-3 through 3 are 0,0,0,3, 2,1,0, .. y0 k 0, 3,2,1,0,0,0, The overlap of the input kj and the shifted signal y n- koccurs at k= 0 with the values of k= 3 and y/n kj 1. Their product is (3) (1) 3. At all other val- ues of k, either rkor yn - k is zero, so their product is also zero. Therefore, at n 0 the value of v0 is 3 The answer is (B).
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