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Nyquist Frequency

The Nyquist frequency, also called the Nyquist limit, is the highest frequency that can be coded at a given sampling rate nu while allowing the signal to be fully reconstructed, i.e.,

f_(Nyquist)=1/2nu.

Consequently, recovering all Fourier components of a periodic waveform requires a sampling rate at least twice the highest waveform frequency.

See also

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

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References

Arndt, J. Matters Computational: Ideas, Algorithms, Source Code. Berlin, Germany: Springer, 2010. https://doi.org/10.1007/978-3-642-14764-7.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 Resource. https://mathworld.wolfram.com/NyquistFrequency.html

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