在离散多尺度分析框架下的数据分解和回复的数值特征(英)

The Numerical Character of Data Reconstruc-tion in Discrete Multi-resolution Analysis

本文在离散多尺度分析框架了讨论了关于给定数据的分解和回复过程的数值特征．它给出了数据分解和回复算法的一般设计原则，它能有效地解释在正交小波基和双正交小波基下的数据分解回复过程．据此设计原则，文中还给出了一种新的数据分解回复方法，它可以在线性分层基背景下得到解释．

In this paper we consiser the decomposition and reconstruction of the given data in discretemulturesolution analysis, and gire the numerical conditions for which the exact reconstructioncan be obtained. We present a convenient data decopition and reconstruction algorithm accordingto the conditions, and examine some special cases and show that many well-known data compressionalgorithms are included in it.