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Non orthogonal Real Wavelet Based Frame spanning and Its Application in Filtering(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1999年06期
Page:
561-564
Research Field:
Publishing date:

Info

Title:
Non orthogonal Real Wavelet Based Frame spanning and Its Application in Filtering
Author(s):
ChuYongsheng XuJianzhong LiXingguo
School of Electronic Engineering and Optoelectronic Technology,NUST,Nanjing 210094
Keywords:
f rames modulat ion technique filtering dual symmet rical real w avelet
PACS:
TN911.7
DOI:
-
Abstract:
Self- spanning property of the Frame is deduced from it s definition. Based on this theory, the modulat ing method is int roduced in w avelet transform and therefore a method on how to span a frame f rom Non-orthogonal RealWavelet is presented. It s spanning method is il- lust rated in details by Mex ico Hat Wavelet. T he frames spanned by this method ( named modulated w avelet) share many propert ies of scaling funct ion of orthogonal w avelets and possess excellent filtering property, robustness to noises ad easily realizing property of w indow functions.

References:

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3 Daubechies I .T en lectures on w av elets. Philadelphia Pennsylvania: SIAM Press, 1992
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Memo

Memo:
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Last Update: 2013-03-29