In order to recover all Fourier components of a periodic waveform, it is necessary to use a sampling rate 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.,

# Nyquist Frequency

## See also

Fourier Series, Fourier Transform, Nyquist Sampling, Oversampling, Sampling Theorem## Explore with Wolfram|Alpha

## 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.

## Referenced on Wolfram|Alpha

Nyquist Frequency## Cite this as:

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