Answer: A) A signal must be sampled at least at twice its highest frequency
Sampling Theorem (Nyquist Theorem) When we convert an analog signal into a digital signal, we must sample it.
The theorem states:
If a signal is band-limited to a maximum frequency fmax , it must be sampled at a rate at least twice that frequency (i.e., fs≥2fmax) to reconstruct it without distortion.
# This minimum sampling rate is called the Nyquist Rate.
# Half of the sampling rate is called the Nyquist Frequency.
Formula fs ≥ 2fmax
Where: fs = Sampling frequency
fmax = Maximum frequency in the analog signal
Example
Suppose an audio signal has frequencies up to 20 kHz.
According to Nyquist: fs ≥ 2 × 20,000 = 40,000Hz
So, to digitize human voice/music, we need ≥ 40 kHz sampling rate.
CDs use 44.1 kHz for this reason.