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Nyquist–Shannon sampling theorem

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…

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Overview

Introduction

Aliasing

Derivation as a special case of Poisson summation

Application to multivariable signals and images

Sampling of non-baseband signals

Nonuniform sampling

Sampling below the Nyquist rate under additional restrictions

Historical background

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Nyquist–Shannon sampling theorem

Nodes96
Edges95
Triples18
Avg. degree1.98
Density0.020833
Components1

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Nyquist–Shannon sampling theorem

Top relations

related to Sampling below the Nyquist rate under additional restrictions · 13
Nyquist–Shannon sampling theorem → As, EB, However, In, Nyquist, Shannon, Specifically, The Nyquist, Traditionally, Using, When, Whittaker, With
is a · 1
Nyquist–Shannon sampling theorem → theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals

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Important terminology

sampling theorem displaystyle nyquist rate signal shannon signals samples sample function also aliasing reconstruction frequency functions bandwidth condition known case

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SubjectPredicateObjectConfidenceSrc
Nyquist–Shannon sampling theoremis atheorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals0.90text
cyaninstance ofSome colorspaces0.80text
magentainstance ofSome colorspaces0.80text
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Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsThe Nyquist0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsShannon0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsWhen0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsWhittaker0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsNyquist0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsHowever0.60section
Nyquist–Shannon sampling theoremrelated to Sampling below the Nyquist rate under additional restrictionsSpecifically0.60section

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