Title :
On the regularity of wavelets
Author_Institution :
Dept. of Math. Sci., Wisconsin Univ., Milwaukee, WI, USA
fDate :
3/1/1992 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
