On quantization of finite frame expansions:: σ-δ schemes of arbitrary order

被引：2
|
作者：
Lammers, M. C. [1 ]
Powell, Alexander M. [2 ]
Yilmaz, Oezguer [3 ]
机构：
[1] Univ N Carolina, Dept Math, Wilmington, NC 28403 USA
[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
WAVELETS XII, PTS 1 AND 2 | 2007年 / 6701卷
关键词：
quantization; sigma-delta; alternate duals; Sobolev dual;
D O I：
10.1117/12.733244
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this note we will show that the so called Sobolev dual is the minimizer over all linear reconstructions using dual frames for stable r(th) order Sigma Delta 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.
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页数：9
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