Wednesday, September 5, 2018

Confusion regarding Nyquist Sampling Theorem


The first time Nyquist Theorem was mentioned in class. It stated that we should sample at twice the highest frequency content of the signal. Example: If we wanted to sample $\cos(2 \pi f_0 t)$, the sampling frequency should be at least $2f_0$.


However, in another course. The Nyquist Theorem was stated as such: the sampling frequency should be at least twice the bandwidth of the signal. Isn't the bandwidth of a single tone cosine 0? which makes the two definition contradictory.




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