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)
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