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Misunderstanding of Nyquist sampling theorem and minimum sampling rate

Misunderstanding of Nyquist sampling theorem and minimum sampling rate
  1. What is the minimum sampling rate when applying Nyquist theorem?
  2. What happens if we sample at a rate which is less than the Nyquist rate?
  3. How does sample rate relate to the Nyquist theorem?
  4. What is the difference between sampling theorem and Nyquist theorem?

What is the minimum sampling rate when applying Nyquist theorem?

Nyquist theorem in audio signals

Therefore, according to the Nyquist theorem, the optimal sample rate for the human ear is 40 kHz. This is why standard music and audio recording sample rates are close to this value. Any values greater than 40 kHz would be undetectable to most people.

What happens if we sample at a rate which is less than the Nyquist rate?

When the sampling frequency drops below the Nyquist rate, the frequencies will crossover and cause aliasing.

How does sample rate relate to the Nyquist theorem?

This theorem states that the highest frequency which can be represented accurately is one half of the sampling rate. The Nyquist rate specifies the minimum sampling rate that fully describes a given signal; in other words a sampling rate that enables the signal's accurate reconstruction from the samples.

What is the difference between sampling theorem and Nyquist theorem?

The Nyquist theorem concerns digital sampling of a continuous time analog waveform, while Shannon's Sampling theorem concerns the creation of a continuous time analog waveform from digital, discrete samples.

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