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信号奇异性检测中的小波基选择及其工程应用 被引量:13
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作者 孔国杰 张培林 +1 位作者 徐龙堂 吴烽 《机械科学与技术》 CSCD 北大核心 2009年第4期542-545,552,共5页
针对小波分析在信号奇异性检测中的小波基选择存在的问题,在分析B-样条小波,插值细分小波原理的基础上,对常用的db小波,B-样条小波,插值细分小波提取信号特征的能力进行了分析比较。结果表明插值细分小波克服了传统小波降噪方法丢失原... 针对小波分析在信号奇异性检测中的小波基选择存在的问题,在分析B-样条小波,插值细分小波原理的基础上,对常用的db小波,B-样条小波,插值细分小波提取信号特征的能力进行了分析比较。结果表明插值细分小波克服了传统小波降噪方法丢失原始信号局部信息的缺陷,不仅可以有效地去除原始信号中的噪声,而且能够较好地保留原始信号的局部特征,具有比较好的综合性能。研究结果为信号奇异性检测中小波基的选择提供了理论依据,将该结论应用于某机械振动信号的故障特征提取,取得了满意的效果。 展开更多
关键词 奇异性检测 b-样条小波 插值细分法 第二代小波变换
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H0^2(I)空间上的B-样条插值小波基 被引量:1
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作者 王锦升 沈有建 赵春茹 《海南师范大学学报(自然科学版)》 CAS 2011年第1期23-27,共5页
本文构造了Soblov空间H0(I)(其中I为有界区间)上的一个五次B-样条插值小波2基,这是一个半正交Riesz小波基.最后给出了小波基的公式.
关键词 H0^2(I) b-样条插值小波
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Analysis of a Gyroscope′s Rotor Nonlinear Supported Magnetic Field Based on the B-Spline Wavelet-FEM
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作者 LIU Jian-feng YUAN Gan-nan +1 位作者 HUANG Xu YU Li 《International Journal of Plant Engineering and Management》 2005年第3期152-159,共8页
A supported framework of a gyroscope's rotor is designed and the B-Spline wavelet finite element model of nonlinear supported magnetic field is worked out. A new finite element space is studied in which the scaling f... A supported framework of a gyroscope's rotor is designed and the B-Spline wavelet finite element model of nonlinear supported magnetic field is worked out. A new finite element space is studied in which the scaling function of the B-spline wavelet is considered as the shape function of a tetrahedton. The magnetic field is spited by an artificial absorbing body which used the condition of field radiating, so the solution is unique. The resolution is improved via the varying gradient of the B-spline function under the condition of unchanging gridding. So there are some advantages in dealing with the focus flux and a high varying gradient result from a nonlinear magnetic field. The result is more practical. Plots of flux and in the space is studied via simulating the supported system model. The results of the study are useful in the research of the supported magnetic system for the gyroscope rotor. 展开更多
关键词 nonlinear supported magnetic field b-spline wavelet FEM GYROSCOPE interpolation basis function boundary condition
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