The Whittaker-Shannon interpolation formula reconstructs a continuous, band-limited signal exactly from an infinite sequence of its evenly spaced samples, provided the sampling rate exceeds twice the signal's highest frequency component. It expresses the reconstructed signal as a sum of shifted and scaled sinc functions, each centered on one sample point and weighted by that sample's value. The formula is the mathematical foundation of the Nyquist-Shannon sampling theorem, which underlies digital audio, telecommunications and any system that converts a continuous signal into a discrete sequence of samples and back. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Origin Yeardates back to the works of E. Borel in 1898 Connections
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Source Whittaker-Shannon Interpolation Formula (Wikipedia)
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1. Whittaker-Shannon Interpolation Formula (Wikipedia)
Lead section
The Whittaker-Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers.
In Branch: Analysis, Lead
The Whittaker-Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers.
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