Min-Max Reconstruction of Signals in a Shift-Invariant Space

ZHAO Jun-xi

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Min-Max Reconstruction of Signals in a Shift-Invariant Space

更新时间：2025-07-16

- Min-Max Reconstruction of Signals in a Shift-Invariant Space
- Acta Electronica Sinica Vol. 39, Issue 3, Pages: 538-542(2011)
- 作者机构：
  
  1. 南京邮电大学理学院,江苏,南京,210046
  2. 南京邮电大学理学院江苏南京,210046
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN919
- Published：2011
- 稿件说明：
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ZHAO Jun-xi. Min-Max Reconstruction of Signals in a Shift-Invariant Space[J]. Acta Electronica Sinica, 2011, 39(3): 538-542.
DOI：

ZHAO Jun-xi. Min-Max Reconstruction of Signals in a Shift-Invariant Space[J]. Acta Electronica Sinica, 2011, 39(3): 538-542. DOI：

摘要

在一般平移不变子空间框架下讨论信号的有限非一致采样重建的问题.基于信号的子空间表示

本文给出一般信号在min-max插值准则下的最优插值方法以及相应的非迭代算法.该方法可以导出著名带限信号的Yen插值.数值实验表明所给方法能十分有效地重建信号.

Abstract

Signal reconstruction from finitely number of non-uniform samples on a interval is considered in the frame of shift invariant space.We derive a new interpolation method that is approximately optimal at min-max criterion for signals in a shift invariant space

and can regain Yen’s interpolator for band-limited signals.Based on the derived interpolator

we also propose an effective non-iterative algorithm for min-max signal reconstruction.Some numerical examples are given to show the effectiveness of the new method.

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