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Proceedings Paper

On quantization of finite frame expansions: sigma-delta schemes of arbitrary order
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Paper Abstract

In this note we will show that the so called Sobolev dual is the minimizer over all linear reconstructions using dual frames for stable rth order ΣΔ quantization schemes under the so called White Noise Hypothesis (WNH) design criteria. We compute some Sobolev duals for common frames and apply them to audio clips to test their performance against canonical duals and another alternate dual corresponding to the well known Blackman filter.

Paper Details

Date Published: 20 September 2007
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 670108 (20 September 2007); doi: 10.1117/12.733244
Show Author Affiliations
M. C. Lammers, Univ. of North Carolina Wilmington (United States)
Alexander M. Powell, Vanderbilt Univ. (United States)
Özgür Yılmaz, Univ. of British Columbia (Canada)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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