Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

Zhao P.; Zhao C.; Casazza P.G.

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Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

机译：帧移位不变空间中规则采样的摄动

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摘要

Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result.

机译：使用希尔伯特空间中帧的广义摄动定理，推导了在移位不变空间中进行规则采样的摄动定理，该定理推导了由Chen建立的不规则采样定理。使用该广义不规则采样定理，可以获得最大摄动的估计值。一些典型的例子说明了结果。

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《IEEE Transactions on Information Theory》 |2006年第2006期|p.4643-4648|共6页
作者
Zhao P.; Zhao C.; Casazza P.G.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Frame; Riesz basis; irregular sampling; perturbation; sampling; wavelets; Frame; Riesz basis; irregular sampling; perturbation; sampling; wavelets;

机译：框架;Riesz基;不规则采样;摄动;采样;小波;框架;Riesz基;不规则采样;摄动;采样;小波;

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1. Perturbation of frame sequences and its applications to shift-invariant spaces [J] . Koo YY, Lim JK Linear Algebra and its Applications . 2007,第2a3期

机译：帧序列的摄动及其在不变空间中的应用
2. Perturbation of frame sequences in shift-invariant spaces [J] . O. Christensen, H. O. Kim, R. Y. Kim, Journal of Geometric Analysis . 2005,第2期

机译：不变移空间中帧序列的扰动
3. Perturbation of frame sequences in shift-invariant spaces [J] . Christensen O, Kim HO, Kim RY, The Journal of geometric analysis . 2005,第2期

机译：不变移空间中帧序列的扰动
4. Sub-Nyquist Sampling in Shift-Invariant Spaces [C] . Tin Vlašić, Damir Seršić European Signal Processing Conference . 2020

机译：换档不变空格中的子奈奎斯特采样
5. Balian-Low Type Theorems for Shift-Invariant Spaces. [D] . Northington, Michael Carr, V. 2016

机译：不变位移空间的Balian-Low型定理。
6. Human Response to Longitudinal Perturbations of Standing Passengers on Public Transport During Regular Operation [O] . Simon Krašna, Arne Keller, Astrid Linder, 2021

机译：人力对常规运作期间公共交通工具常设乘客纵向扰动的响应
7. Perturbation of frame sequences and its applications to shift-invariant spaces [O] . Koo Yoo Young, Lim Jae Kun 2007

机译：帧序列的摄动及其在不变空间中的应用
8. Frames and Stable Bases for Shift-Invariant Subspaces of L2(Rd) [R] . Ron, A., Shen, Z. 1995

机译：L2（Rd）的shift-Invariant子空间的框架和稳定基础

Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

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