If X(k) is the DFT of x(n) which is defined as x(n)=x1(n)+jx2(n), 0≤ n≤ N-1, then what is the DFT of x1(n)?
A. 1/2 [X*(k)+X*(N-k)].
B. 1/2 [X*(k)-X*(N-k)].
C. 1/2j [X*(k)-X*(N-k)].
D. 1/2j [X*(k)+X*(N-k)].
Answer:A
If X(k) is the DFT of x(n) which is defined as x(n)=x1(n)+jx2(n), 0≤ n≤ N-1, then what is the DFT of x1(n)?
A. 1/2 [X*(k)+X*(N-k)]. B. 1/2 [X*(k)-X*(N-k)]. C. 1/2j [X*(k)-X*(N-k)]. D. 1/2j [X*(k)+X*(N-k)].
Explanation: We know that if x(n)=x1(n)+jx2(n) then x1(n)= (x(n)+x*(n))/2