Accession Number:

ADP011996

Title:

Interpolation from Lagrange to Holberg

Descriptive Note:

Conference paper

Corporate Author:

INSTITUT FRANCAIS DU PETROLE RUEIL-MALMAISON (FRANCE)

Personal Author(s):

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

As the order 2n tends to infinity Lagrange interpolators of periodically sampled 1D functions converge to the sinc function modulated by two exponentials. One is related to instabilities and the other to Gaussian apodizing. The Hermite interpolation of Lagrange interpolators gives convolutive Ckappa1-differentiable Lagrange-Hermite interpolators. Whereas their support has width of order 2n 2, the active part of their impulse response is width of order square roots of 2n, instead of 2n for Holberg interpolators, which are optimal combinations of Lagrange-Hermite interpolators, and therefore much more efficient. Efficient filters can be derived from these differentiable interpolators, as well as numerical schemes of derivatives at any abscissa.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE