Let X r [k] be the time-dependent Fourier transform (TDFT) defined in Eq. (10.36). For this problem,

Question:

Let X_r[k] be the time-dependent Fourier transform (TDFT) defined in Eq. (10.36). For this problem, consider the TDFT when both the DFT length N = 36 and the sampling interval R = 36. Let the window w[n] be a rectangular window. Compute the TDFT X_r[k] for −∞ < r < ∞ and 0 ≤ k ≤ N – 1 for the signal