Why doesn't the sampling theorem work in this case?

1. What happens if the sampling theorem is not obeyed?
2. What is the condition for sampling theorem?
3. What are the two requirements of sampling theorem?
4. Why is it necessary to limit the band of a signal before performing sampling?

What happens if the sampling theorem is not obeyed?

If the Nyquist theorem is not obeyed, higher frequency information is recorded in too low a sample rate, resulting in aliasing artifacts.

What is the condition for sampling theorem?

The Sampling Theorem states that a signal can be exactly reproduced if it is sampled at a frequency F, where F is greater than twice the maximum frequency in the signal.

What are the two requirements of sampling theorem?

The sampling theorem essentially says that a signal has to be sampled at least with twice the frequency of the original signal. Since signals and their respective speed can be easier expressed by frequencies, most explanations of artifacts are based on their representation in the frequency domain.

Why is it necessary to limit the band of a signal before performing sampling?

Band limiting ensures that the original input signal can be reconstructed exactly from the ADC's output samples when a sampling frequency (f_s) of twice the information bandwidth of the analog input signal is used (Nyquist sampling).