DocumentCode
1191633
Title
On the regularity of wavelets
Author
Volkmer, H.
Author_Institution
Dept. of Math. Sci., Wisconsin Univ., Milwaukee, WI, USA
Volume
38
Issue
2
fYear
1992
fDate
3/1/1992 12:00:00 AM
Firstpage
872
Lastpage
876
Abstract
The regularity index alpha /sub N/ of the scaling functions /sub N/ phi , N=2, 3, . . . of multiresolution analysis introduced by I. Daubechies (1988) is investigated. It is shown that 0.51< alpha /sub 2/<0.53 and lim/sub N to infinity / alpha /sub N//N=1 -log 3/(2 log 2).<>
Keywords
signal processing; transforms; dilation equations; multiresolution analysis; regularity index; scaling functions; signal analysis; wavelets; Books; Equations; Fourier transforms; Government; H infinity control; Multiresolution analysis; Polynomials; Protection;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.119743
Filename
119743
Link To Document