A 1-kHz sine wave is sampled at 5 kHz.
a. What is the Nyquist frequency of the sampling system in this case?
b. What is the Nyquist rate of the signal?
c. Is the signal properly sampled (i.e., will there be aliases in the digitally recorded
signal)?
d. What if the original analog signal included both even and odd harmonics of its
primary frequency (i.e., 2 , 3, 5 kHz, etc.)? What would be the highest harmonic
that will be faithfully represented in the discrete-time version of the analog
signal?
e. Following on with the previous step, what is the lowest harmonic that will be
aliased and what would be resulting alias frequency?