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基于小波库构造的信号去噪
引用本文:杨兴明,张培仁,孙丙宇,吴永忠.基于小波库构造的信号去噪[J].中国科学技术大学学报,2007,37(3):315-322.
作者姓名:杨兴明  张培仁  孙丙宇  吴永忠
作者单位:1. 合肥工业大学计算机与信息学院,安徽合肥,230009
2. 中国科学技术大学自动化系,安徽合肥,230027
3. 中国科学院合肥智能机械研究所,安徽合肥,230031
基金项目:Supported by the Province Key Technologies R&D Program of Anhui during the 10th.Five-Year Plan Period (040120501).
摘    要:提出了通过构造小波库进行去噪的方法.该方法的关键是光滑正交小波库的构造,因此提出了一种新的光滑正交小波库的构造方法,该构造方法基于3个条件进行小波库的构造:1)光滑性,即小波要有足够的光滑性;2)非冗余性,即小波库中的小波不要重复;3)完备性,即构造的小波库要能表示整个小波空间.实验结果表明当把构造的小波库应用到信号去噪时,其去噪性能优于任何的单小波.

关 键 词:小波库  遗传算法  光滑性  相似性  
文章编号:0253-2778(2007)03-0315-08
修稿时间:04 28 2006 12:00AM

Wavelet library construction for signal denoising
YANG Xing-ming,ZHANG Pei-ren,SUN Bing-yu,WU Yong-zhong.Wavelet library construction for signal denoising[J].Journal of University of Science and Technology of China,2007,37(3):315-322.
Authors:YANG Xing-ming  ZHANG Pei-ren  SUN Bing-yu  WU Yong-zhong
Affiliation:1. School of Computer and Information, He f ei University of Technology, Hefei , 230009, China; 2. Dept. of Automation, University of Science and Technology of China, Hefei 230027, China; 3. Institute of Intelligence Machine, Chinese Academy of Sciences, He f ei 230031, China
Abstract:A denoising method using wavelet library was proposed. Key to this method was to construct a smooth orthonormal wavelet library.A new method for constructing smooth orthonormal wavelet library was presented based on the following conditions: 1) regularity,i.e.,the wavelets have sufficient regularity;2) non-redundancy,i.e.,there should be no duplicates among the library wavelets;3) completeness,i.e.,the library should be representative of the whole wavelet space.The experiment results show that when the library is used in signal denoising,the wavelet library performs better than any of the single wavelets.
Keywords:wavelet library  genetic algorithm  smoothness  similarity  entropy
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