Consider the signal
x[n] = δ[n]-2δ[n-1]+ 2δ[n-2]-δ[n-3].
(a) Compute and plot the 4-point DFT X[k].
(b) Using the fewest number of zeros possible, zero pad x[n] so that the DFT frequency resolution is at least Ω0 = 0.1. Compute and plot the corresponding DFT Xpad[k].