Weighted sampling and signal reconstruction in spline subspaces

Xian J; Luo SP; Lin W

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Weighted sampling and signal reconstruction in spline subspaces

机译：样条子空间中的加权采样和信号重建

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摘要

In this paper, we construct a reproducing kernel in spline subspaces and use the reproducing kernel to obtain a reconstruction formula from the weighted samples and incremental integral samples. We also improve the A-P iterative algorithm, and use the algorithm to implement the reconstruction from weighted samples, and obtain the explicit convergence rate of the algorithm in spline subspaces. (C) 2005 Elsevier B.V. All rights reserved.

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来源
《Signal processing》 |2006年第2期|p. 331-340|共10页
作者
Xian J; Luo SP; Lin W;
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作者单位

Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China;

S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China;

Sun Yat Sen Univ, Dept Math, Ghangzhou 510275, Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类通信;
关键词
irregular sampling; iterative algorithm; spline subspace; shift-invariant space; reproducing kernel; SHIFT-INVARIANT SPACES;

机译：不规则采样;迭代算法;样条子空间;位移不变空间;再生核;SHIFT-不变空间;

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专利

1. Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces [J] . JunXian, YongjinLi International journal of mathematics and mathematical sciences . 2003,第65期

机译：时间扭曲加权移位不变空间的重构及其在样条子空间中的应用
2. Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces [J] . JunXian, YongjinLi International journal of mathematics and mathematical sciences . 2003,第65期

机译：时间扭曲加权移位不变空间的重构及其在样条子空间中的应用
3. Local sampling and reconstruction in shift-invariant spaces and their applications in spline subspaces [J] . Xian J., Sun W. Numerical Functional Analysis and Optimization . 2010,第1a3期

机译：不变位移空间中的局部采样和重构及其在样条子空间中的应用
4. Weighted sampling and signal reconstruction in spline subspaces [C] . Xian Jun, Shi-Ping Luo, Wei Lin . 2004

机译：样条子空间中的加权采样和信号重建
5. A study of sampling bases for spline signal spaces and its application to D-A converters [D] . Kamada Masaru 1988

机译：样条信号空间采样基础的研究及其在数模转换器中的应用
6. Robust Adaptive Beamforming with Sensor Position Errors Using Weighted Subspace Fitting-Based Covariance Matrix Reconstruction [O] . Peng Chen, Yixin Yang, Yong Wang, 2018

机译：基于加权子空间拟合的协方差矩阵重构的传感器位置误差的鲁棒自适应波束形成
7. Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces [O] . Jun Xian, Yongjin Li 2003

机译：时间扭曲加权移位不变空间的重构与样条子空间的应用
8. Techniques, Based on Extremal Subspaces, for Improved Reconstruction of Signals from Samples [R] . Meier, R. G., Parks, T. W. 1970

机译：基于极值子空间的技术改进了样本信号的重构

Weighted sampling and signal reconstruction in spline subspaces

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