| 一种小波变换像空间的再生核 |
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| 引用本文： | 顾丽娟,王涛,尹付梅. 一种小波变换像空间的再生核[J]. 海军航空工程学院学报, 2009, 24(6): 716-720 |
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| 作者姓名： | 顾丽娟 王涛 尹付梅 |
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| 作者单位： | 海军航空工程学院,系统科学与数学研究所,山东,烟台,264001;鲁东大学,地理与规划学院,山东,烟台,264025 |
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| 摘 要： | 利用一个常用的调制高斯函数作为小波母函数,得到小波变换像空间的再生核函数的具体表达式和小波变换的等距恒等式,并分析了小波变换像空间的结构,为一般的小波变换的像空间的研究提供了理论基础。
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| 关 键 词： | 小波变换 再生核 再生核Hilbert空间 |
Reproducing Kernel in the Image Space of a Wavelet Transform |
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| GU Li-juan,WANG Tao and YIN Fu-mei. Reproducing Kernel in the Image Space of a Wavelet Transform[J]. Journal of Naval Aeronautical Engineering Institute, 2009, 24(6): 716-720 |
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| Authors: | GU Li-juan WANG Tao YIN Fu-mei |
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| Affiliation: | 1. Institute of Systems Science and Mathematics, NAAU, Yantai Shandong 264001, China; 2. Geography and Planning Institute, Ludong University, Yantai Shandong 264025, China) |
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| Abstract: | In this paper,a familiar modulation Gaussian function was introduced as a wavelet generating function.The concrete expression of the reproducing kernel function in the image space of this wavelet transform was shown.The isometric identity of the wavelet transform was obtained.The structure of the image space of the wavelet transform was analyzed.These provide the theoretic basis for discussing the image space of general wavelet transform. |
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| Keywords: | wavelet transform reproducing kernel reproducing kernel Hilbert space |
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