[1]褚永胜,许建中,李兴国.基于非正交实小波的框架扩展方法及滤波应用[J].南京理工大学学报(自然科学版),1999,(06):561-564.
　ChuYongsheng XuJianzhong LiXingguo.Non orthogonal Real Wavelet Based Frame spanning and Its Application in Filtering[J].Journal of Nanjing University of Science and Technology,1999,(06):561-564.
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基于非正交实小波的框架扩展方法及滤波应用()
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《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1999年06期
页码:
561-564
栏目:
出版日期:
1999-12-30

文章信息/Info

Title:
Non orthogonal Real Wavelet Based Frame spanning and Its Application in Filtering
作者:
褚永胜; 许建中; 李兴国
南京理工大学电子工程与光电技术学院, 南京210094
Author(s):
ChuYongsheng XuJianzhong LiXingguo
School of Electronic Engineering and Optoelectronic Technology,NUST,Nanjing 210094
关键词:
南京理工大学电子工程与光电技术学院;  南京210094
Keywords:
f rames;  modulat ion technique;  filtering;  dual symmet rical real w avelet
分类号:
TN911.7
摘要:
该文由框架定义导出其自扩展性，并在此理论基础上把调制思想运用于小波变换，提出了一种基于非正交实小波的框架扩展方法，并以墨西哥草帽小波为例对该方法给予详细的说明。使用该方法可以构造出具有正交小波尺度函数特性的框架———调制小波，这种调制小波不但具有优良的滤波特性，而且对噪声具有鲁棒性，还兼有窗函数易于实现的优点。
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.

参考文献/References:

1 赵松年, 熊小芸.子波变换与子波分析.北京: 电子工业出版社, 1997
2 邢庆滨, 孙圣和.紧支撑小波自相关函数构成的多精度表示及其在瞬时信号检测中的应用.电子测量与仪器学报, 1998, 12( 1) : 1~ 4
3 Daubechies I .T en lectures on w av elets. Philadelphia Pennsylvania: SIAM Press, 1992
4 龚怀云, 寿纪麟, 王绵森.应用泛函分析. 西安: 西安交通大学出版社, 1989
5 褚永胜. 宽带接收机的信号检测技术: [ 硕士学位论文] .南京: 南京理工大学, 1999

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备注/Memo

备注/Memo:
褚永胜 男 32 岁 工程师
更新日期/Last Update: 2013-03-29