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Proceedings Paper

Scaling functions and wavelets optimal under translation
Author(s): Algirdas Bastys; Zydrunas Gimbutas
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Paper Abstract

Projections of signals continuous translations into subspaces of multiresolution analysis are considered. Compactly supported orthonormal scaling function N(phi) any translation of which has good approximation by means of integer translations of the same scaling function, is found for N <EQ 10. Two estimation characteristics of translation invariance of the multiresolution analysis are suggested. The translation invariance characteristics of new scaling functions and wavelets are compared with those proposed by Daubechies. For N equals 2, it is proved that the Daubechies compactly supported scaling function 2(phi) with highest number of vanishing moments compatible with its support width has optimal translation invariance.

Paper Details

Date Published: 1 September 1995
PDF: 9 pages
Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217633
Show Author Affiliations
Algirdas Bastys, Vilnius Univ. (Lithuania)
Zydrunas Gimbutas, Vilnius Univ. (Lithuania)

Published in SPIE Proceedings Vol. 2569:
Wavelet Applications in Signal and Image Processing III
Andrew F. Laine; Michael A. Unser, Editor(s)

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