WAVELETS AND DILATION EQUATIONS - A BRIEF INTRODUCTION
WAVELETS AND DILATION EQUATIONS - A BRIEF INTRODUCTION
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DOI：
10.1137/1031128
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发表时间：
1989-12-01
期刊：
影响因子：
10.2
通讯作者：
STRANG, G
中科院分区：
文献类型：
--
作者：
STRANG, G
小波是产生这种表示的基函数的新族。它们的构造始于一个带系数的膨胀方程的解。然后是ww，它的基础是w的翻译和扩展。在第1部分中说明了小波的近似性质和正交性的条件是如何产生的。第2部分描述了分解和重构的递归算法（也是基于）。小波的目标是用高效的算法在时间和频率上尽可能地进行局部化
Wavelets are new families of basis functions that yield the representation. Their construction begins with the solutionto a dilation equation with coefficients. ThenWcomes from, and the basis comes by translation and dilation ofW. It is shown in Part 1 how conditions on thelead to approximation properties and orthogonality properties of the wavelets. Part 2 describes the recursive algorithms (also based on the) that decompose and reconstructf. The object of wavelets is to localize as far as possible in both time and frequency, with efficient algorithms