2. [15 pt] An analog signal x(t) shown below is sampled to give a sequence x[n]. f=100 and N = 200 for DFT x(t)=2sin(4x)+5 cos(8лt) a) Plot X [k] and X, [k], the real and imaginary parts of the discrete Fourier transform (DFT) of x[n]. b) Find the Magnitude and phase of corresponding values in part (a). You need to specify the exact k vs. (X, [k] and X, [k]) values in the frequency domain.