Nyquist

Derivation of Nyquist Frequency and Sampling Theorem [closed]

Derivation of Nyquist Frequency and Sampling Theorem [closed]
  1. What is the difference between sampling theorem and Nyquist theorem?
  2. What will happen if sampling process should not follow the Nyquist theorem?
  3. How do you calculate Nyquist sampling frequency?
  4. What is Nyquist theorem formula?

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.

What will happen if sampling process should not follow the Nyquist theorem?

If the Nyquist theorem is not obeyed, higher frequency information is recorded in too low a sample rate, resulting in aliasing artifacts.

How do you calculate Nyquist sampling frequency?

The frequency fn = 1/2Δt is called the Nyquist frequency. When spectra are presented for digital data, the highest frequency shown is the Nyquist frequency. For IRIS broadband seismic stations, Δt = 0.05 s, so the Nyquist frequency is 10 Hz.

What is Nyquist theorem formula?

Specifically, in a noise-free channel, Nyquist tells us that we can transmit data at a rate of up to. C=2Blog2M. bits per second, where B is the bandwidth (in Hz) and M is the number of signal levels.

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