On the Extendability of Frame Wavelets

Lijuan Wang, LI Wan-she, Nan Jiang · Basic Sciences Journal of Textile Universities · 2008

The extendability of Normalized Tight Frame Wavelets (NTFW) plays an important role in the super-wavelets theory. The dimension function of NTFW was characterized by showing its definition and properties. As an application of dimension function, the extendability of frame wavelets were investigated, then a suffcient condition concerning a NTFW to be extend- able to super-wavelets of any length was obtained. In addition, an example and two corollaries are also given.

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