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Manipulating Gibbs' Phenomenon for Fourier Interpolation

✍ Scribed by Gilbert Helmberg; Peter Wagner

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
319 KB
Volume
89
Category
Article
ISSN
0021-9045

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✦ Synopsis

The Fourier interpolation polynomials of a periodic function with an isolated jump discontinuity at a node exhibit for growing order a Gibbs phenomenon. By a suitable definition of the function value at the jump the over-and undershoots on one side may be minimized. 1997 Academic Press n&1 j=1 (&1) j sin(x& j?Γ‚n)& article no. AT963056 308

πŸ“œ SIMILAR VOLUMES

Gibbs Phenomenon for Wavelets
Gibbs Phenomenon for Wavelets
✍ Susan E. Kelly πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 216 KB

When a Fourier series is used to approximate a function with a jump discontinuity, an overshoot at the discontinuity occurs. This phenomenon was noticed by Michelson [6] and explained by Gibbs [3] in 1899. This phenomenon is known as the Gibbs effect. In this paper, possible Gibbs effects will be lo