Sard-optimal prefilters for the Fast Wavelet Transform

Sard-optimal prefilters for the Fast Wavelet Transform

A direct input of function samples into the Fast Wavelet Transform often gives inaccurate results. We use the refinement equation for the construction of prefiltering quadrature formulas which are optimal in Sard's sense, i.e.,in the standard class of functions with ‖ f(p)‖2 < ∞. A detailed...

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Veröffentlicht in:Numerical algorithms 1997-01, Vol.16 (3-4), p.303-319
1. Verfasser: Ehrich, Sven
Format: Artikel
Sprache:eng
Schlagworte:
Error analysis
Quadratures
Wavelet transforms
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Zusammenfassung:A direct input of function samples into the Fast Wavelet Transform often gives inaccurate results. We use the refinement equation for the construction of prefiltering quadrature formulas which are optimal in Sard's sense, i.e.,in the standard class of functions with ‖ f(p)‖2 < ∞. A detailed analysis of the error and several applications are given.
ISSN:1017-1398
1572-9265
DOI:10.1023/A:1019103617219