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Proceedings Paper

Frames of translates and examples of generalized frame multiresolution analyses
Author(s): Manos Papadakis
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Paper Abstract

We introduce the concept of frames of translates and we characterize the countable families of vectors generating such frames. In this context we generalize the concept of the Grammian introduced by Ron and Shen. We apply this characterization to study Generalized frame MRAs of L2(R). We also provide the characterization of frame multiwavelet sets associated with GFMRAs of L2(R) and we present examples of GFMRAs.

Paper Details

Date Published: 5 December 2001
PDF: 9 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449696
Show Author Affiliations
Manos Papadakis, Univ. of Houston (United States)

Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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