Create a length 32, 243 Hz sinusoidal signal in Matlab using a sampling frequency of 1000 Hz using a time index of n = 0,1, ..., 31. Plot the spectrum by using stem(abs(fft(x))) where x is the signal of interest. Question: From the position of the peak of this plot, what is the estimated frequency? As you notice, the estimated frequency is not the real frequency. In order to be more precise, zero padding can be used so that with more samples in the frequency spectrum one can be more accurate in this estimation. Question: Use fit(x, 256), plot the spectrum and finding the maximum, estimate the frequency. Note that the sidelobes of the last plot show better the sinc function structure in the frequency domain of the rectangular window that is used when only a finite amount of samples are available