Question: (a) Find the frequency resolution using this rectangular window. Express your answer in Hertz. (h) Suppose it is observed that the DFT (I: = i},

(a) Find the frequency resolution using this rectangular window. Express your answer in Hertz. (h) Suppose it is observed that the DFT (I: = i}, 1, - - - 511] of the sampled signal has very strong peaks at 1:251 and k = 461. Find the frequency of the major signal component of the continuoustime signal $[t] (assume sampling is above the Nyquist rate}. (c) Suppose instead that $(t) : sinf2w2655t]. Keep sampling rate 3', : 1000 Hz and assume M = 205 data samples are again recorded. As above, a 512point DFT is computed. At what DFT indices, k, do strong peaks appear in the DFT? (d) Create the time samples, n], for a sine function at the frequency determined in part ([1]; use amplitude 1 and zero phase. Compute and plot the spectrum from f = f, f 2 to fsf. (using the Matlah :Eftshift command}. In addition to scaling the horizontal axis to display frequencyr in Hertz, scale the 1vertical axis by T

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