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Nyquist Frequency


In order to recover all Fourier components of a periodic waveform, it is necessary to use a sampling rate nu at least twice the highest waveform frequency. The Nyquist frequency, also called the Nyquist limit, is the highest frequency that can be coded at a given sampling rate in order to be able to fully reconstruct the signal, i.e.,

 f_(Nyquist)=1/2nu.

See also

Fourier Series, Fourier Transform, Nyquist Sampling, Oversampling, Sampling Theorem

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References

Arndt, J. Algorithms for Programmers: Ideas and Source Code. In preparation. http://www.jjj.de/fxt/fxtpage.html#fxtbook.Oppenheim, A. V.; Schafer, R. W.; and Buck, J. R. Discrete-Time Signal Processing, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.

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Nyquist Frequency

Cite this as:

Weisstein, Eric W. "Nyquist Frequency." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NyquistFrequency.html

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