A sinusoidal signal of frequency 1 Hz is to be sampled periodically.
(a) Find the maximum allowable time interval between samples.
(b) Samples are taken at 1/3-S intervals (i.e., at a rate of f_s = 3 sps). Construct a plot of the sampled signal spectrum that illustrates that this is an acceptable sampling rate to allow recovery of the original sinusoid.
(c) The samples are spaced 2/3 s apart. Construct a plot of the sampled signal spectrum that shows what the recovered signal will be if the samples are passed through a low pass filter such that only the lowest frequency spectral lines are passed.