On the construction of non-stationary orthonormal infinitely differentiable compactly supported wavelets
Igor Yakovlevich Novikov · 2002
An approach for the construction of non-stationary orthonormal wavelets is presented. The method allows to obtain non-stationary orthonormal infinitely differentiable compactly supposed wavelets. Furthermore, the support width of the generator of the level j in this system is less then 2t(j+2)2/sup -j/, where {t(j)} is a sequence of integers satisfying the conditions: lim/sub j/spl rarr//spl infin//t(j)=/spl infin/, t(j)/spl les/t(j+1)/spl les/t(j+1), t(1)=1.