High-order low-bit Sigma-Delta quantization for fusion frames

被引：0
|
作者：
Gao, Zhen [1 ]
Krahmer, Felix [2 ]
Powell, Alexander M. [1 ]
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[2] Tech Univ Munich, Res Unit M15, Dept Math, D-85748 Munich, Germany
来源：
ANALYSIS AND APPLICATIONS | 2021年 / 19卷 / 01期
基金：
美国国家科学基金会;
关键词：
Fusion frames; Sigma-Delta quantization; sensor networks; COARSE QUANTIZATION; CONVEX DYNAMICS; MODULATORS; BOUNDS; FAMILY;
D O I：
10.1142/S0219530520400096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct high-order low-bit Sigma-Delta (Sigma Delta) quantizers for the vector-valued setting of fusion frames. We prove that these Sigma Delta quantizers can be stably implemented to quantize fusion frame measurements on subspaces Wn using log(2)(dim(W-n) + 1) bits per measurement. Signal reconstruction is performed using a version of Sobolev duals for fusion frames, and numerical experiments are given to validate the overall performance.
引用
收藏
页码：1 / 20
页数：20
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