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The Reproducing Kernel Function for the Image Space of a Limited Spectrum Wavelet Transform(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年02期
Page:
95-98
Research Field:
数理科学
Publishing date:

Info

Title:
The Reproducing Kernel Function for the Image Space of a Limited Spectrum Wavelet Transform
Author(s):
DENG Cai-xia 尸enR- CHEN Xia-xia
(Scliool of Applied Sciences, llarbin Lniversity of Science and’feclinolo}y, llarbin 150080,Cliina
Keywords:
Keywords:reproducing kernel Hilbert spacewavelet functionwavelet transformreproducing kernel functionscale factor
PACS:
-
DOI:
10.15938/j.jhust.2017.02.018
Abstract:
Abstract:In order to describe the nature of image space of the wavelet transform and a limited spectrum and decay faster wavelet,this paper uses Shannon scaling function to construct a wavelet function,take advantage of wavelet analysis theory to give the nature of image space of the wavelet transform and the wavelet transform. Fixing the scale factor,we get this wavelet transform as the space of two specific expressions of reproducing kernel function,take advantage of the reproducing kernel space theory to describe the wavelet transform of image space and provide the theoretical basis for numerical calculation of the wavelet.

References:

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Last Update: 2017-06-13