Sampling

Phase difference measurement of a signal sampled with two different sampling frequencies

Phase difference measurement of a signal sampled with two different sampling frequencies
  1. What happens when the sampling rate is less than 2 Hz?
  2. Why is sampling rate twice frequency?
  3. What are the two requirements of sampling theorem?
  4. How do you find the frequency of a sampled signal?

What happens when the sampling rate is less than 2 Hz?

When the sampling rate is not large enough (not larger than 2B Hz), then interference among adjacent bands will occur, and this results in the phenomenon of aliasing. In this case, the original signal cannot be recovered from the sampled signal.

Why is sampling rate twice frequency?

If the signal contains high frequency components, we will need to sample at a higher rate to avoid losing information that is in the signal. In general, to preserve the full information in the signal, it is necessary to sample at twice the maximum frequency of the signal.

What are the two requirements of sampling theorem?

The sampling theorem essentially says that a signal has to be sampled at least with twice the frequency of the original signal. Since signals and their respective speed can be easier expressed by frequencies, most explanations of artifacts are based on their representation in the frequency domain.

How do you find the frequency of a sampled signal?

The sampling frequency or sampling rate, fs, is the average number of samples obtained in one second, thus fs = 1/T. Its unit is sample per second or hertz e.g. 48 kHz is 48,000 samples per second.

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