THE REPRODUCING KERNEL HILBERT SPACE BASED ON WAVELET TRANSFORM

被引：0

作者：

Deng, Cai-Xia ^{[1
]}

Li, Shuai ^{[1
]}

Fu, Zuo-Xian ^{[1
]}

机构：

[1] Harbin Univ Sci & Technol, Appl Sci Coll, Harbin 150080, Peoples R China

来源：

PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION | 2010年

关键词：

Wavelet; Wavelet transform; Reproducing kernel; REPRESENTATION;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the explicit and analytic expression of the reproducing kernel function for the image space of the wavelet transform is obtained based on the fact that the image space of wavelet transform is a reproducing kernel Hilbert space. Here we describe in detail the reproducing kernel and structure of this space when the scale factor is fixed. This provides the theoretic basis for discussing the image space of general wavelet transform and broadens the scope of application of the reproducing kernel space theories.

引用

页码：370 / 374

页数：5

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