A voltage signal consists of a pure sine wave of amplitude 10.0 V at 180 Hz. This signal is sampled digitally at a sampling frequency of 200 Hz. 128 data points are taken.
a) Sketch what the frequency spectrum would look like if you were to perform an FFT on these sampled data. Label your axes carefully, and explain. However, be careful to consider things like aliasing and leakage, the folding frequency, etc. on your plot.
b) Calculate:
the total sampling time
the time increment between sampled data points
the frequency resolution of the frequency spectrum
the folding frequency
the number of (useful) discrete frequencies that would be used to plot the frequency spectrum