Suppose we used the following statement to describe the Nyqu

Suppose we used the following statement to describe the Nyquist criterion for lowpass sampling: “When sampling a single continuous sinusoid (a single analog tone), we must obtain no fewer than N discrete samples per continuous sinewave cycle.” What is the value of this integer N?

Solution

Nyquist criterion = In order to properly reconstruct the signal we need to have atleast sample at twice the frequency of original signal

Since the signal contains 1 frequency, only hence we need atleast 1*2 = 2 samples in order to fully reconstruct the signal

Therefore the value of integer N will be equal to 2