Whittaker–Shannon interpolation formula

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs sinc interpolation
gptkbp:appliesTo bandlimited signals
gptkbp:basedOn sampling theorem
gptkbp:category Fourier analysis
interpolation
gptkbp:describes reconstruction of a bandlimited function from its samples
gptkbp:field gptkb:information_theory
gptkb:mathematics
gptkb:signal_processing
gptkbp:form f(t) = \\sum_{n=-\\infty}^{\\infty} f(nT) \\frac{\\sin \\pi (t/T - n)}{\\pi (t/T - n)}
gptkbp:function sinc function
https://www.w3.org/2000/01/rdf-schema#label Whittaker–Shannon interpolation formula
gptkbp:importantFor foundation of digital signal processing
gptkbp:introducedIn 1920
gptkbp:namedAfter gptkb:Claude_Shannon
gptkb:Edmund_Whittaker
gptkbp:popularizedBy 1949
gptkbp:publishedIn gptkb:Proceedings_of_the_IRE
gptkbp:relatedTo gptkb:Nyquist–Shannon_sampling_theorem
gptkbp:bfsParent gptkb:E._T._Whittaker
gptkbp:bfsLayer 6