Nyquist–Shannon sampling theorem
Sign in to saveAlso known as sampling theorem, Whittaker–Shannon sampling theorem, Whittaker–Nyquist–Shannon sampling theorem, cardinal theorem of interpolation, Nyquist–Shannon theorem
theorem in signal processing describing discrete samples of a continuous signal
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Within Vinony's link graph, Nyquist–Shannon sampling theorem is referenced by 315 other articles, and connects out to Fourier transform, sampling and discrete time and continuous time.
It sits within the topics Claude Shannon, Data compression and Digital signal processing.
Its subject is documented across 34 Wikipedia language editions.
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- telecommunications engineering
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Encyclopedic overview
Example of magnitude of the Fourier transform of a bandlimited function
The Nyquist–Shannon sampling theorem is a theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals. In the case of uniformly spaced (periodic) sampling, it establishes a sufficient condition on the sample rate that permits a discrete sequence of samples to capture all the information from a continuous-time signal of finite bandwidth, such that the original signal can be reconstructed exactly from those samples.
Excerpted from Wikipedia’s “Nyquist–Shannon sampling theorem” article, available under the CC BY-SA 4.0 licence.