Article | REF: AF1480 V1

Function approximation

Author: Jean-Paul BERRUT

Publication date: October 10, 2013

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9. Sinc interpolation

We've seen that it's possible to efficiently approximate a smooth function from an equidistant sample over an interval, with algebraic convergence in general, and even exponential convergence if f is both periodic and analytic. We will now see that periodicity is not necessary for this if f is defined on any and decays sufficiently rapidly to infinity.

The formula (41) can also be written as

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Sinc interpolation