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Proceedings Paper

Scalable filter banks
Author(s): Youngmi Hur; Kasso A. Okoudjou
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Paper Abstract

A finite frame is said to be scalable if its vectors can be rescaled so that the resulting set of vectors is a tight frame. The theory of scalable frame has been extended to the setting of Laplacian pyramids which are based on (rectangular) paraunitary matrices whose column vectors are Laurent polynomial vectors. This is equivalent to scaling the polyphase matrices of the associated filter banks. Consequently, tight wavelet frames can be constructed by appropriately scaling the columns of these paraunitary matrices by diagonal matrices whose diagonal entries are square magnitude of Laurent polynomials. In this paper we present examples of tight wavelet frames constructed in this manner and discuss some of their properties in comparison to the (non tight) wavelet frames they arise from.

Paper Details

Date Published: 24 August 2015
PDF: 6 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970Q (24 August 2015); doi: 10.1117/12.2186168
Show Author Affiliations
Youngmi Hur, Yonsei Univ. (Korea, Republic of)
Kasso A. Okoudjou, Univ. of Maryland, College Park (United States)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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