变形监测信号消噪的不确定度

英文篇名：The uncertainty of deformation monitoring signal de-noising
中文刊名：测绘科学
英文刊名：Science of Surveying and Mapping
作者：曲国庆 ; 党亚民 ; 章传银
英文作者：QU Guo-qing①② ; DANG Ya-min③ ; ZHANG Chuan-yin③(① Shangdong University of Science and Technology ; Qingdao 266510 ; China ; ② Shandong University of Technology ; Zibo 255049 ; China ; ③ Chinese Academy of Surveying and Mapping ; Beijing 100039 ; Chin
中文关键词：小波包 ; 变形监测 ; 信号消噪 ; 不确定度
英文关键词：wavelet packet ; deformation monitoring ; signal de-noising ; uncertainty
出版日期：2007-09-20
机构：山东科技大学,中国测绘科学研究院,中国测绘科学研究院山东青岛266510,山东理工大学,山东淄博255049,北京100039,北京100039
年：2007
期：05
出版单位：测绘科学

摘要

变形表现为一种弱信号,误差呈现为强噪声。小波包分解消噪是对分解中所得到的高频部分再继续细分,因此具有更精细的消噪能力。采用最优小波包基进行信号重构的过程中,信号有一定的损失。若将消噪过程近似成拟合,拟合误差符合正态分布,可以采用假设检验法估计信号重构误差的区间,进而确定信号重构误差的不确定度,评价小波包消噪的质量。
The deformation appears as weak signal,and error appears as strong noise.The method that wavelet packet decomposes the signal to remove noise can decomposes the detail components,so it has more accurate ability of de-noising.In course of signal reconstruction with best basis of wavelet packets,the signal has some loss.Because of the error with normal distribution,the method of hypothesis test is introduced to evaluate the interval of the error caused by signal reconstruction if de-nosing approximates fitting.Then the uncertainty of the error caused by signal reconstruction is identified.The quality of de-nosing with this method is appraised.

引文

[1]李水根,吴纪桃.分形与小波[M].北京:科技出版社,2002:279-293.
    [2]飞思科技开发中心.小波分析理论与MATLAB7实现[M].北京:电子工业出版社,2005.
    [3]任震,张征平,黄雯莹,管霖,杨楚明,胡国胜.基于最优小波包基的电动机故障信号的消噪与检测[J].中国电机工程学报,2002,22(8):53-57.
    [4]葛永,陈建安.基于改进小波包算法的水声信号消噪与重构研究[J].声学与电子工程,2004,(2):5-9.
    [5]黄卫,路小波,凌小静.基于小波包特征提取的车牌字符识别[J].科学通报,2004,49(24):2612-2614.
    [6]韩璞,张君,董泽,潘笑.汽轮机振动信号的最优小波包基消噪与检测[J].中国动力工程学报,2005,25(1):92-120.
    [7]Clement Ogaja,Jinling Wang,Chris Rizos3.Detection ofWind-Induced Response by Wavelet Transformed GPS Solu-tions[J].JOURNAL OF SURVEYING ENGINEERING,2003:99.
    [8]Chalermchon Satirapod,Jinling Wang,Chris Rizos.Com-paring Different Global Positioning System Data ProcessingTechniques for Modeling Residual Systematic Errors[J].JOURNAL OF SURVEYING ENGINEERING,2003:129.
    [9]陶本藻,蓝月明.数字化曲线的最佳拟合[J].工程勘察,2004,3:46-48.
    [10]黄声享,刘经南.GPS变形监测系统中消除噪声的一种有效方法[J].测绘学报,2002,31(2):104-107.
    [11]文鸿雁.小波多分辨率分析在变形分析中的应用[J].地壳形变与地震,2000,20(3):27-32.
    [12]黄丁发,丁晓利,陈永奇,龚涛,熊永良.GPS多路径效应影响与结构振动的小波滤波筛分研究[J].测绘学报,2001,30(1):36-41.