MRA super-wavelets

By S. Bildea, Dorin Ervin Dutkay, Gabriel Picioroaga. 2004

50 citations recorded by the source corpus.

We construct a multiresolution theory for L 2 (R) ⊕· ·· ⊕L 2 (R). For a good choice of the dilation and translation operators on these larger spaces, it is possible to build singly generated wavelet bases, thus obtaining multires- olution super-wavelets. We give a characterization of super-scaling function, we analyze the convergence of the cascade algorithms and give examples of super-wavelets. Our analysis provides also more insight into the Cohen and Lawton condition for the orthogonality of the scaling function in the classical case on L2(R).

View Paper: https://www.semanticscholar.org/paper/d672d63ec21dfff28434a558a3d6cd2a8d4cbd8c

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  1. Dorin Ervin Dutkay
  2. Palle E. T. Jorgensen
  3. Jian-Lin Li
  4. Xin-Rong Dai
  5. Xinggang He
  6. Li-Xiang An
  7. Chun-Kit Lai
  8. Matilde Marcolli

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