Nyquist

Redundancy when using Nyquist rate for a time series

Redundancy when using Nyquist rate for a time series
  1. What will happen if we sample below the Nyquist rate?
  2. What is the Nyquist sampling frequency for a signal with frequency O?
  3. How do you calculate Nyquist sampling rate?
  4. Is Nyquist rate and sampling frequency same?

What will happen if we sample below the Nyquist rate?

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

What is the Nyquist sampling frequency for a signal with frequency O?

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.

How do you calculate Nyquist sampling rate?

The nyquist sampling rate is two times the highest frequency of the input signal. For instance, if the input signal has a high-frequency component of 1 kHz, then the sampler must sample at least 2 kHz, or the signal might alias.

Is Nyquist rate and sampling frequency same?

The Nyquist rate is 2x the given frequency to be measured accurately. The theorem can be used in reverse. The Nyquist frequency is the highest frequency that equipment of a given sample rate can reliably measure, one-half the given sample rate. The Nyquist theorem is an important part of information theory.

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