14 Consider the sequences X1 (n) {0, 1, 2, 3, 4), x2(n) = {0, 1, 0, 0, 0), %3D s (n) = {1, 0, 0,0, 0} and their five-point DFTS. (a) Determine a sequence y(n) so that Y(k) = X1(k)X2(k). (b) Is there a sequence x3(n) such that S(k) = X1(k)X3(k)?

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14 Consider the
sequences
X1 (2) = {0, 1, 2, 3, 4},
x2(n) = {0, 1, 0, 0, 0),
s(n) = {1, 0, 0.0,0}
%3D
and their five-point DFTS.
(a) Determine a sequence y (n) so that Y (k) = X1(k)X2(k).
(b) Is there a sequence x3(n) such that S(k) = X1(k)X3(k)?
%3D
Transcribed Image Text:14 Consider the sequences X1 (2) = {0, 1, 2, 3, 4}, x2(n) = {0, 1, 0, 0, 0), s(n) = {1, 0, 0.0,0} %3D and their five-point DFTS. (a) Determine a sequence y (n) so that Y (k) = X1(k)X2(k). (b) Is there a sequence x3(n) such that S(k) = X1(k)X3(k)? %3D
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