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 )


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