engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS)
Consider two 16-point sequences x[n] and h[n]. Let the linear convolution of x[n] and h[n] be denoted by y[n], while z[n] denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point DFTs of x[n] and h[n]. The value(s) of k for which z[k] = y[k] is/are
1
k = 0, 1, 2, ..., 15
2
k = 0 and k = 15
3
k = 15
4
k = 0