| 引用本文: | 李弼程,沙基昌,郑勇,等.一种小波变换域中最优门限的取法.[J].国防科技大学学报,1997,19(4):42-47.[点击复制] |
| Li Bicheng,Sha Jichang,Zheng Yong,et al.An Optimum Threshold in Wavelet Transform Domain[J].Journal of National University of Defense Technology,1997,19(4):42-47[点击复制] |
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| 一种小波变换域中最优门限的取法 |
| 李弼程, 沙基昌, 郑勇, 周铁强 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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| 摘要: |
| 在信号小波变换编码中, 一般对高频小波系数x 先作阈值处理, 即对给定的门限T>0;若|x|≤T, 则令x=0。在本文中, 从理论上给出了一种最优门限Topt,Topt使得重构误差信号的平均能量达到最小。 |
| 关键词: 小波分析, Mallat 算法, 门限, 大数定律 |
| DOI： |
| 投稿日期：1996-11-12 |
| 基金项目:国防预研基金与国防科大试验技术基金项目资助 |
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| An Optimum Threshold in Wavelet Transform Domain |
| Li Bicheng, Sha Jichang, Zheng Yong, Zhou Tieqiang |
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(Department of System Engineering and Mathematics, NUDT, Changsha, 410073)
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| Abstract: |
| In general, a threshold T is used to determin whether high-frequency wavelet coefficients to be insignificant in wavelet transforme coding of singals. That is, let x be a high-frequency wavelet coefficient, if |x|≤T, then x is insignificant and set x=0. In this paper, an optimum threshold Topt is given theoretically and Topt minmizes the average energy of the distortion between the original signal and the reconstructed signal. |
| Keywords: Multiresolution Analysis, Mallat Algorithm, Threshold, Large Number Law |
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