CONTINUOUS AND DISCRETE WAVELET TRANSFORMS
CONTINUOUS AND DISCRETE WAVELET TRANSFORMS
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DOI：
10.1137/1031129
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发表时间：
1989-12-01
期刊：
影响因子：
10.2
通讯作者：
WALNUT, DF
中科院分区：
文献类型：
--
作者：
HEIL, CE;WALNUT, DF
本文是对相干态下函数的积分表示和离散和展开式结果的一个简要综述。两种类型的相干态被认为是：魏尔-海森堡相干态，这是从翻译和调制的一个单一的功能，和仿射相干态，称为“小波”，这是作为一个单一的功能的翻译和伸缩。在每一种情况下，它是如何表示任何功能作为这些国家的总和或积分。这篇论文的大部分内容是对文学的概述，最著名的是I。Daubechies，A. Grossmann，and J. Morlet.文中包括作者的一些结果。
This paper is an expository survey of results on integral representations and discrete sum expansions of functions inin terms of coherent states. Two types of coherent states are considered: Weyl–Heisenberg coherent states, which arise from translations and modulations of a single function, and affine coherent states, called ’wavelets,’ which arise as translations and dilations of a single function. In each case it is shown how to represent any function inas a sum or integral of these states. Most of the paper is a survey of literature, most notably the work of I. Daubechies, A. Grossmann, and J. Morlet. A few results of the authors are included.