[1]郭晓霞,杨慧中.小波去噪中软硬阈值的一种改良折衷法[J].智能系统学报,2008,3(3):222-225.
GUO Xiao-xia,YANG Hui-zhong.An improved compromise for soft/hard thresholds in wavelet denoising[J].CAAI Transactions on Intelligent Systems,2008,3(3):222-225.
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GUO Xiao-xia,YANG Hui-zhong.An improved compromise for soft/hard thresholds in wavelet denoising[J].CAAI Transactions on Intelligent Systems,2008,3(3):222-225.
小波去噪中软硬阈值的一种改良折衷法
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
3
期数:
2008年第3期
页码:
222-225
栏目:
学术论文—人工智能基础
出版日期:
2008-06-25
- Title:
- An improved compromise for soft/hard thresholds in wavelet denoising
- 文章编号:
- 1673-4785(2008）03-0222-04
- Keywords:
- wavelet transform; threshold denoising; threshold function; MSE
- 分类号:
- TN911
- 文献标志码:
- A
- 摘要:
- 在小波域中分析了传统软阈值法和硬阈值法的特点,并在标准软硬阈值折衷法的基础上,提出了一种软硬阈值改良折衷法.与标准软硬阈值折衷法相比,其阈值函数具有更加灵活多变的形式,便于进行各种数学处理;与传统软阈值法和硬阈值法相比,它克服了硬阈值函数不连续的缺点,减小了软阈值函数中的估计小波系数与分解小波系数之间存在的恒定偏差.仿真实验结果表明,该改良方法的去噪性能优于传统软阈值法、硬阈值法、标准软硬阈值折衷法及一些现有的新阈值函数法.
- Abstract:
- The characteristics of two traditional wavelet comp romise methods, referred to as the soft2thresholding method and the hard2thresholding method, were analyzed in the wavelet domain. A new comp romise thresholding method that imp roves performance is p resented, based on the standard comp romise thresholdmethod, yetmore flex2 ible and easier to treatmathematically. Compared with traditionalwavelet comp romise methods, the new app roach avoids the discontinuity of the hard2threshold method and also decreases the fixed bias between the estimated wave2 let coefficients and the decomposed wavelet coefficients of the soft2threshold method. Simulation results show that the imp roved method is better at denoising than the soft2threshold method, the hard2threshold method, the standard comp romised threshold method, aswell as other threshold function methods.
- 参考文献/References:
-
[1] 付炜,许山川. 一种改进的小波域阈值去噪算法[J]传感技术学报, 2006,(02) . [
2] 张维强,宋国乡. 基于一种新的阈值函数的小波域信号去噪[J]西安电子科技大学学报, 2004,(02) .
?[3] Donoho D L. De-noising by soft-thresholding .IEEE Trans. On IT. 1995,413, 41(3) :613-627 .
?[4] Donoho D L, Johnstone I M. Adapting to unknown smoothness via wavelet shrinkage [J] .Journal of American Stat Assoc, 1995,12, 12 (90) :1200-1224 .
[5] DONG Yongsheng,YI Xuming. Wavelet de-noising based on four improved functions for threshold estimation[J] .Journal of Math, 2006,26, 26 (5) :473-477 .
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备注/Memo
收稿日期：2007-09-07
基金项目：国家自然科学基金资助项目(60674092);; 江苏省高技术研究(工业)基金资助项目(BG2006010)
作者简介：
郭晓霞，女，1983年生，硕士研究生，主要研究方向为基于小波变换的超声检测信号去噪方法研究。
杨慧中，女，1955年生，江南大学通信与控制工程学院党委书记，检测与工程控制研究所所长，教授，博导，主要研究方向为生产过程参数检测与监控，复杂生产过程的建模与优化控制等，参与完成国家自然科学基金项目，863项目各1项，主持国家自然科学基金项目1项，江苏省高技术项目1项，教育部重点科研项目1项，获得省级科技进步奖3项，省级教学成果奖1项，获得江苏省优秀专利1项，授权专利4项，发表论文50多篇，20多篇被SCI和EI检索。
通讯作者：郭晓霞。E-mail:guoxiaoxia1983@126.com
更新日期/Last Update:
2009-05-14