Biorthogonal wavelets via pseudoframes for subspaces

Shidong Li; Michael Hoffman

doi:10.1117/12.618249

17 September 2005 Biorthogonal wavelets via pseudoframes for subspaces

Shidong Li, Michael Hoffman

Proceedings Volume 5914, Wavelets XI; 591407 (2005) https://doi.org/10.1117/12.618249
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

We present some preliminary results of constructions of biorthogonal wavelets and associated filterbanks with optimality using a tool of pseudoframes for subspaces (PFFS). PFFS extends the theory of frames in that pseudoframe sequences need not reside within the subspace of interests. The flexibility so introduced proves favorably in the construction of biorthogonal wavelets. While past constructions pioneered by Cohen, Daubechies, and Feauveau can be reproduced precisely, results of additional optimalities are also obtained. Some preliminary examples are reported.

Citation Download Citation

Shidong Li and Michael Hoffman "Biorthogonal wavelets via pseudoframes for subspaces", Proc. SPIE 5914, Wavelets XI, 591407 (17 September 2005); https://doi.org/10.1117/12.618249

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