| 基于小波变换的信号突变检测的方法 |
| |
| 引用本文： | 刘军,王兆艳.基于小波变换的信号突变检测的方法[J].数学理论与应用,2007,27(4):74-77. |
| |
| 作者姓名： | 刘军 王兆艳 |
| |
| 作者单位： | 济宁学院数学系，济宁学院数学系 曲阜，273155，曲阜，273155 |
| |
| 摘 要： | 本文利用高斯函数的正整数阶导函数的一个性质,给出了一种探测信号奇异性的方法,得到了奇异点的位置,阶数α以及相应的平滑因子a和k,推导出了α满足的方程,对文献8]的结论进行了推广.最后进行了数值试验,相对Mallat定理的10%的误差,取得了较好的效果.
|
| 关 键 词： | 小波变换 奇异性 李氏指数 模极大值 |
The Method of Detection of Signal Singularity Based on the Wavelet Transform |
| |
| Liu Jun Wang Zhaoyan.The Method of Detection of Signal Singularity Based on the Wavelet Transform[J].Mathematical Theory and Applications,2007,27(4):74-77. |
| |
| Authors: | Liu Jun Wang Zhaoyan |
| |
| Abstract: | In this paper,a method of detection of signal sinhularity is given by using Gauss functions,the position and the order a of singularity,the corresponding smooth factor a and argument factor k have been gotten and the equation that involves the parameter a has been inferred,the conclusion of literature -8] is made more widespread.Finally,we measure the numerical value,relative to the relative error 10% of Mallat theorem ,we obtain better result. |
| |
| Keywords: | wavelet transform singularity lipschitz exponent modulus maximum |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
