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Proceedings Paper

Biorthogonal wavelets via pseudoframes for subspaces
Author(s): Shidong Li; Michael Hoffman
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Paper 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.

Paper Details

Date Published: 17 September 2005
PDF: 11 pages
Proc. SPIE 5914, Wavelets XI, 591407 (17 September 2005); doi: 10.1117/12.618249
Show Author Affiliations
Shidong Li, San Francisco State Univ. (United States)
Michael Hoffman, San Francisco State Univ. (United States)

Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)

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