Spline Multiresolution Analysis

刘贵忠; 冯轶岭; 宗涛

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Spline Multiresolution Analysis

更新时间：2025-12-08

- Spline Multiresolution Analysis
- Acta Electronica Sinica Issue 7, (1996)
- 作者机构：
  
  西安交通大学电子与信息工程学院信息工程研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.1
- Published：1996
- 稿件说明：
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[1]刘贵忠,冯轶岭,宗涛.样条多分辨分析[J].电子学报,1996(07):72-77+82.

刘贵忠, 冯轶岭, 宗涛. Spline Multiresolution Analysis[J]. Acta Electronica Sinica, 1996, (7).
[1]刘贵忠,冯轶岭,宗涛.样条多分辨分析[J].电子学报,1996(07):72-77+82. DOI：

刘贵忠, 冯轶岭, 宗涛. Spline Multiresolution Analysis[J]. Acta Electronica Sinica, 1996, (7). DOI：

摘要

本文根据平移不变子空间二尺度分解理论，系统、简结地构造了各类样条多分辨分析。其中涉及的运算只有序列的卷积、求逆、开平方和抽取以及信号的内积。

Abstract

Several types of spline multiresolution analyses are constructed systematically simply based on the general decomposition theory of two-scale shift-invariant subspaces.The only involved operations are convolution

inversion

squar-root

subsumpling and inner product of sequenses.

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