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On the Gibbs Phenomenon for Wavelet Expansions

✍ Scribed by Hong-Tae Shim; Hans Volkmer

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 585 KB
Volume: 84
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0006

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✦ Synopsis

It is shown that a Gibbs phenomenon occurs in the wavelet expansion of a function with a jump discontinuity at 0 for a wide class of wavelets. Additional results are provided on the asymptotic behavior of the Gibbs splines and on methods to remove the Gibbs phenomenon.

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