For x[n] = [1, 2, 4, 1], a 4-point DFT X[k] provides a 4-point frequency sampling between 0 and 2. If we would like to observe a high-resolution frequency response, we obtain X[k] by performing an 8-point DFT of x[n]. Should we obtain X[k] by performing DFT of [1, 2, 4, 1, 0, 0, 0, 0] or [0, 0, 0, 0, 1, 2, 4, 1]? Or does it not matter? What is the relationship between X[k] and X[k]?