Question: The resolution of a spectrum analysis system is determined by the frequency response of the time window. Suppose that we sample a continuous-time signal at fs = 10.000 Hz and we want to have frequency resolution of 250 Hz.
(a) If we use a Hamming window for w[n], what window length L would be needed? Estimate a minimum value for L.
(b) Use the specific value for L. determined in part (a), and demonstrate that the resulting Hamming window will have sufficient frequency resolution by plotting its frequency response (magnitude).