小波变换在轨道静态功率谱密度获取中的应用

蒋淑霞; 傅勤毅; 文振华

小波变换在轨道静态功率谱密度获取中的应用

1.
中南林学院工业学院, 湖南长沙 410007
2.
中南大学交通运输工程学院, 湖南长沙 410075

详细信息

作者简介:
蒋淑霞(1977-), 女, 湖南邵阳人, 中南大学硕士研究生, 从事小波理论与应用研究

中图分类号: U213.2
计量
- 文章访问数: 230
- HTML全文浏览量: 77
- PDF下载量: 286
- 被引次数: 0
出版历程
- 收稿日期: 2004-01-01
- 刊出日期: 2004-06-25

Application of wavelet transform to obtain track static power spectrum density

1.
School of Industry, Central South Forestry University, Changsha 410007, China
2.
School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China

More Information

Author Bio:
JIANG Shu-xia(1977-), female, graduate student, 86-13677397551, jiangshuxia_2002@163.com

摘要

摘要: 利用小波变换将轨道不平顺信号和所得谱图信号分解到互不重叠的频带上, 结合小波阈值处理技术, 对小波高频系数进行阈值量化处理, 滤掉其中某些频段内的干扰与噪声信号, 然后对信号进行重构, 从而实现了对信号的去噪和对谱图信号的平滑处理。结果表明, 该方法成功地获取了轨道静态功率谱密度, 有效提高了轨道静态参数信噪比和轨道静态功率谱密度图的可视性。
- 铁道工程 /
- 轨道 /
- 静态功率谱 /
- 小波 /
- 信噪比
Abstract: Track irregularity and its static power spectrum density were decomposed into different frequency-bands with wavelet transform. Combined with processing skill of wavelet threshold value, high-frequency coefficients of wavelet were quantified, then data were reconstructed, and some interferons and noises in certain frequency-band were removed, which realized denoise and smoothing of power spectrum density. The results indicate that data processing approach based on wavelet transform can increase noise-signal ration of track static parameters, and improve visibility of track static power spectrum density.
- railway engineering /
- track /
- static power spectrum density /
- wavelet /
- noise-signal ration

HTML全文

图 1 水平不平顺

Figure 1. Horizontal irregularity

下载: 全尺寸图片幻灯片

图 2 水平不平顺中心化

Figure 2. Centricity of horizontal irregularity

下载: 全尺寸图片幻灯片

图 3 FFT去噪

Figure 3. FFT denoise

下载: 全尺寸图片幻灯片

图 4 小波自适应软阈值去噪

Figure 4. Wavelet adaptive soft- threshold denoise

下载: 全尺寸图片幻灯片

图 5 平滑处理前功率谱密度

Figure 5. PSD before smoothing

下载: 全尺寸图片幻灯片

图 6 平滑谱结果比较

Figure 6. Results comparison of smoothing PSD

下载: 全尺寸图片幻灯片

参考文献(9)

[1]	彭玉华. 小波变换与工程应用[M]. 北京: 科学出版社, 2000.
[2]	高清维, 李斌, 解光军, 等. 基于平稳小波变换的图像去噪方法[J]. 计算机研究与发展, 2002, 39(12): 1 689-1 694. https://www.cnki.com.cn/Article/CJFDTOTAL-JFYZ200212022.htm GAO Qing-wei, LI Bin, XIE Guang-jun, et al. An image denoise method based on stationary wavelet transform[J]. Journal of Computer Research and Development, 2002, 39(12): 1 689-1 694. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JFYZ200212022.htm
[3]	Vanden J V. Wavelet in Physics[M]. Cambrige University Press, 1999.
[4]	崔锦泰, 程正兴. 小波分析导论[M]. 西安: 西安交通大学出版社, 1991.
[5]	蒋淑霞. 轨道静态参数应用研究及列车运行品质评价[D]. 长沙: 中南大学, 2003.
[6]	Donobo D L, Johnstone I M. Ideal spatial adapation via wavelet shrink-age[J]. Biometrika, 1994, 81(4): 425-455.
[7]	Donobo D L, Johnstone I M. Adapating to unknown smoothness via wavelet shrinkage[J]. Journal of the American Statistical Association, 1995, 90(11): 1 200-1 224.
[8]	王开云, 翟婉明, 蔡成标. 左右轨道不平顺功率谱转换中心线功率谱方法[J]. 交通运输工程学报, 2002, 2(3): 27-29. http://transport.chd.edu.cn/article/id/200203006 WANG Kai-yun, ZHAI Wan-ming, CAI Cheng-biao. Method of equivalency transform for power spectrum density of track irregularity on central line from on left/right rail[J]. Journal of Traffic and Transportation Engineering, 2002, 2(3): 27-29. (in Chinese) http://transport.chd.edu.cn/article/id/200203006
[9]	胡昌华, 张军波, 夏军, 等. 基于Matlab的系统分析与设计[M]. 西安: 西安电子科技大学出版社, 2000.