A family of M-band wavelets with non-zero centered vanishing moments

Jouni Sampo · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004

In this paper the new family of orthogonal compactly supported M-band wavelets is presented. This family is similar to Coiflets since scaling function and all wavelet functions have equal number of vanishing moments. However, the center of these vanishing moments can differ from zero. Equivalent moment conditions are given also for scaling filter. Finally, estimate for asymptotic convergence speed of wavelet sampling approximation of smooth functions is given.

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