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Sampling Theorem

In order for a band-limited (i.e., one with a zero power spectrum for frequencies nu>B) baseband (nu>0) signal to be reconstructed fully, it must be sampled at a rate nu>=2B. A signal sampled at nu=2B is said to be Nyquist sampled, and nu=2B is called the Nyquist frequency. No information is lost if a signal is sampled at the Nyquist frequency, and no additional information is gained by sampling faster than this rate.

SEE ALSO: Aliasing, Nyquist Frequency, Nyquist Sampling, Oversampling




CITE THIS AS:

Weisstein, Eric W. "Sampling Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SamplingTheorem.html

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