| 引用本文: | 罗建书,柳志刚,黄建华.分形信号的滤波算法.[J].国防科技大学学报,1998,20(1):103-108.[点击复制] |
| Luo Jianshu,Liu Zhigang,Huang Jianhua.Filter algorithoms for fractal signals[J].Journal of National University of Defense Technology,1998,20(1):103-108[点击复制] |
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| 分形信号的滤波算法 |
| 罗建书, 柳志刚, 黄建华 |
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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: |
| 提出了分形信号的小波分解与重构的-种快速算法。针对分形信号的自相似和长时相关的特点，采用离散小波变换(DWT)对分形信号进行多尺度分解，使其成为各尺度上的近似平稳信号，从而可利用通常的 Wiener 滤波或 Kalman 滤波方法进行估计，然后再由 DWT 进行多尺度重构，估计出被噪声污染了的原始信号。重点对 DWT 的滤波过程进行算法设计，并估计了计算复杂度。 |
| 关键词: 分形信号，离散小波变换，快速傅立叶变换，滤波器 |
| DOI： |
| 投稿日期：1997-09-24 |
| 基金项目:九五国防预研基金与国防科技大学试验技术项目资助 |
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| Filter algorithoms for fractal signals |
| Luo Jianshu, Liu Zhigang, Huang Jianhua |
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(Department of Systems Engineering and Mathematics，NUDT，Changsha，410073)
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| Abstract: |
| In this paper，a fast algorithm for the fractal signal wavelet decomposition and reconstruction is put foreward. In accordance with the selfsimilar and long-term related characteristics of the fractal signals，and by means of discrete wavelet transformation (DWT)，multi-scale decomposition is carried out so as to make them become similar stationary signals and estimate them with the usual wiener filtering and Kalman filtering method，Then multi-scale reconstruction is carried out with DWT in order to estimate the primary signals polluted by noises. This paper stresses the algorithm design of the DWT filtering process，and the computing complexity is also considered. |
| Keywords: fractal signal,discrete wavelet transform,Fast Fourier transform,filter |
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