engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Definition of Discrete Fourier Transform (DFT)
.Find the N- point DFT of the sequence
\(x(n) = 3 + \cos^{2} ( \frac{2\pi n}{N}) \,\,\,\,\,\,\, for; \,n = 0,1, .....N-1\)
The DFT coefficients of the DFT sequence will be _______
1
X(K) = 5/2N for; K = 0
= 1/4N for; K = 2 and K = N - 2
= 0 else
2
X(K) = 7/2N for; K = 0
= 1/4N for; K = 2 and K = N
= 0 else
3
X(K) = 7/2N for; K = 0
= 1/4N for; K = 2 and K = N-2
= 0 else
4
X(K) = 7/2N for; K = 0
= 1/4N for; K = 1 and K = N-2
= 0 else