GIBBS PHENOMENON FOR SAMPLING SERIES AND WHAT TO DO ABOUT IT

Authors
WALTER GG SHIM HT
Citation
Gg. Walter et Ht. Shim, GIBBS PHENOMENON FOR SAMPLING SERIES AND WHAT TO DO ABOUT IT, The journal of fourier analysis and applications, 4(3), 1998, pp. 357-375
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
The journal of fourier analysis and applications → ACNP
ISSN journal
10695869
Volume
4
Issue
3
Year of publication
1998
Pages
357 - 375
Database
ISI
SICI code
1069-5869(1998)4:3<357:GPFSSA>2.0.ZU;2-I
Abstract
Gibbs' phenomenon occurs for most orthogonal wavelet expansions. It is also shown to occur with many wavelet interpolating series, and a cha racterization is given. By introducing modifications in such a series, it can be avoided. However some series that exhibit Gibbs' phenomenon for orthogonal series do not for the associated sampling series.