# sampling below nyquist frequency

Can someone explain me that when we sample that sinusoid with a frequency below the Nyquist frequency (below half the sampling frequency), why we end up taking two samples per cycle of the sinusoid?

• "Below" the nyquist frequency means fewer than two samples per sinewave cycle. Apr 9, 2016 at 9:44
• Nyquist states that you need to sample at at least twice the maximum frequency of the signal if you are to have any hope of reconstructing the original signal. Fix your question. Apr 9, 2016 at 9:47
• Since Nyquist states that you need to sample at a frequency bigger than twice the signal, for any signal that complies with this request, there will be at least THREE samples for each period. Apr 9, 2016 at 11:12
• @ClaudioAviChami It means there will be >= 2 samples, e.g. 2.x samples where x can be rather small. A CD can reproduce 20kHz with a sampling frequency if 44.1kHz. Apr 9, 2016 at 15:26
• You are correct, there will be > 2 samples, not necessarily 3... but for sure not two. Apr 9, 2016 at 15:31