| 一种对称小波重构算法及其在突变信号检测中的应用 |
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| 引用本文： | 张兆伟,陈维义,林春生.一种对称小波重构算法及其在突变信号检测中的应用[J].武汉理工大学学报(交通科学与工程版),2005,29(6):985-988. |
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| 作者姓名： | 张兆伟 陈维义 林春生 |
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| 作者单位： | 海军工程大学兵器工程系,武汉,430033 |
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| 基金项目： | 教育部青年骨干教师项目资助 |
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| 摘 要： | 分析了在奇异信号检测等问题中，使用Mallat算法对信号小波系数做单支重构波形存在失真的原因．通过调整Mallat算法的运算流程，得到了小波变换的一种基于共轭正交滤波器组的重构算法．理论分析与仿真试验结果表明，文中算法使上述失真现象得到了改善，同时具有正交性、对称性和有限支撑性等优良性质，可用于对信号作精确的分析。
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| 关 键 词： | 小波分析 滤波器组 线性相位Mallat算法 失真 重构 |
| 收稿时间： | 2005-07-13 |
| 修稿时间： | 2005年7月13日 |
Symmetric Wavelets Based Non-distortion Decomposition and Reconstruction Algorithm |
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| Zhang Zhaowei,Chen Weiyi,Lin Chunsheng.Symmetric Wavelets Based Non-distortion Decomposition and Reconstruction Algorithm[J].journal of wuhan university of technology(transportation science&engineering),2005,29(6):985-988. |
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| Authors: | Zhang Zhaowei Chen Weiyi Lin Chunsheng |
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| Institution: | Department of Weapon Engineering, Naval University of Engineering, Wuhan 430033 |
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| Abstract: | The distortion phenomena of components of signal reconstructed from wavelet coefficients using Mallat algorithm in detection of singular signals are analyzed. By adjusting the calculation flow of this algorithm, a new wavelet decomposition and reconstruction algorithm is presented based on conjugate quadrature filter bank. Theoretic analysis and simulated experiment results show that new algorithm not only greatly abates the distortion phenomenon mentioned above, hut also possess orthonormality, symmetry and limit-support simultaneously, so it can he used to analyse signal more precisely. |
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| Keywords: | wavelet filter bank linear phase Mallat algorithm distortion reconstruction |
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