If we split the N point data sequence into two N/2 point data sequences f1(n) and f2(n) corresponding to the even numbered and odd numbered samples of x(n) and F1(k) and F2(k) are the N/2 point DFTs of f1(k) and f2(k) respectively, then what is the N/2 point DFT X(k) of x(n)?

If we split the N point data sequence into two N/2 point data sequence

1.	If we split the N point data sequence into two N/2 point data sequences f₁(n) and f₂(n) corresponding to the even numbered and odd numbered samples of x(n) and F₁(k) and F₂(k) are the N/2 point DFTs of f₁(k) and f₂(k) respectively, then what is the N/2 point DFT X(k) of x(n)?
A.	F<sub>1</sub>(k)+F<sub>2</sub>(k)
B.	F<sub>1</sub>(k)- W<sub>N</sub><sup>k</sup> F<sub>2</sub>(k)
C.	F<sub>1</sub>(k)+WNk<sub>N</sub><sup>k</sup> F<sub>2</sub>(k)
D.	None of the mentioned
Answer» D. None of the mentioned