If X1(n), x2(n) and x3(m) are three sequences each of length N whose DFTs are given as X1(k), X2(k) and X3(k) respectively and X3(k)=X1(k).X2(k), then what is the expression for x3(m)?

Question

TuteeHUB · Accepted Answer

$\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)_N $

TuteeHUB · Answer

$\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)$

TuteeHUB · Answer

$\sum_{n=0}^{N-1}x_1 (n) x_2 (m-n)$

TuteeHUB · Answer

$\sum_{n=0}^{N-1}x_1 (n) x_2 (m-n)_N $

TuteeHUB · Answer

$\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)_N $

1.	If X1(n), x2(n) and x3(m) are three sequences each of length N whose DFTs are given as X1(k), X2(k) and X3(k) respectively and X3(k)=X1(k).X2(k), then what is the expression for x3(m)?
A.	\(\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)\)
B.	\(\sum_{n=0}^{N-1}x_1 (n) x_2 (m-n)\)
C.	\(\sum_{n=0}^{N-1}x_1 (n) x_2 (m-n)_N \)
D.	\(\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)_N \)
Answer» D. \(\sum_{n=0}^{N-1}x_1 (n) x_2 (m+n)_N \)

If X1(n), x2(n) and x3(m) are three sequences each of length N whose DFTs are given as X1(k), X2(k) and X3(k) respectively and X3(k)=X1(k).X2(k), then what is the expression for x3(m)?

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