A new view on biorthogonal spline wavelets

نویسنده

  • Kai Bittner
چکیده

The biorthogonal wavelets introduced by Cohen, Daubechies, and Feauveau contain in particular compactly supported biorthogonal spline wavelets with compactly supported duals. We present a new approach for the construction of compactly supported spline wavelets, which is entirely based on properties of splines in the time domain. We are able to characterize a large class of such wavelets which contains the spline wavelets of Cohen, Daubechies, and Feauveau as a special case. Further, we prove a new result on the Riesz stability of such spline wavelets.

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تاریخ انتشار 2005