Sampling

Can the Nyquist sample rate be extended to stochastic sampling?

Can the Nyquist sample rate be extended to stochastic sampling?
  1. What will happen when sampling rate is greater than Nyquist rate?
  2. What happens if sampling is below the Nyquist rate?
  3. What is the difference between sampling and Nyquist rate?
  4. Why do we have to follow the Nyquist rate of sampling?

What will happen when sampling rate is greater than Nyquist rate?

Also important to note is that once you are sampling at a rate above the Nyquist rate, further increases in the sampling frequency do not improve the quality of the reconstructed signal. This is true because of the ideal low-pass filter.

What happens if sampling is below the Nyquist rate?

If the Nyquist theorem is not obeyed, higher frequency information is recorded in too low a sample rate, resulting in aliasing artifacts. Several techniques can reduce aliasing in a reproduced signal. Pure sine wave signals do not exist in nature.

What is the difference between sampling and Nyquist rate?

The Nyquist rate is the minimal frequency at which you can sample a signal without any undersampling. It's double the highest frequency in your continous-time signal. Whereas the Nyquist frequency is half of the sampling rate.

Why do we have to follow the Nyquist rate of sampling?

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.

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