Nyquist–Shannon sampling theorem: Difference between revisions

Revision as of 04:49, 26 December 2023

Revision as of 18:01, 2 January 2024

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{{confused|Shannon–Hartley theorem}}

The '''Nyquist–Shannon sampling theorem''' is an essential principle for [[digital signal processing]] linking the [[frequency range]] of a signal and the [[sample rate]] required to avoid a type of [[distortion]] called [[aliasing]]. The theorem states that the sample rate must be at least twice the [[Bandwidth (signal processing)|bandwidth]] of the signal to avoid aliasing distortion. In practice, it is used to select [[band-limiting]] filters to keep aliasing distortion below an acceptable amount when an analog signal is sampled or when sample rates are changed within a digital signal processing function.

[[File:Bandlimited.svg|thumb|250px|Example of magnitude of the Fourier transform of a bandlimited function]]