天然源超低频频谱的曲波分解与分析

由于天然源超低频电磁探测仪器接收的是宽频段多源信号,如何进行信号的分解以将干扰信号滤除,是利用天然源超低频电磁探测技术进行实际探测应用的关键。北京大学自主研发的天然源超低频电磁探测仪器,以山西沁水盆地煤层气探测数据为研究对象,将曲波变换的方法应用在超低频电磁探测频谱的分解上。分解结果表明,曲波变换分解出的高频信息主要是探测仪器直接接收的大气层雷电产生的干扰信号,而低频信息层则主要包含了地下的探测目标信息。基于此,以低频信息为基础重构后的探测频谱曲线相对于原始探测曲线来说,更有利于探测目标的解释。但是对于由于人工工频所引起的干扰信号,该方法并不能有效去除,在实际应用中需要结合其他数据处理方法一同进行。     

Wavelet based noise suppression technique and its application to ultrasonic flaw detection

The noise suppression techniques with wavelet transform (WT) are widely used in non-destructive testing and evaluation (NDT&E), especially in ultrasonics. Complete reconstruction theory with hard or soft thresholds, reconstruction technique based on the singularities of noise and signal, matched filter with an impulse response, and optimal frequency-to-bandwidth ratio of wavelet technique have all been used to analyze ultrasonic signals for noise suppression. But a more simple and effective technique has been pursued for decades. This paper develops a new technique using WT for the right purpose. In this work, WT is treated as a band-pass filter whose central frequency and frequency bandwidth (CF&FB) are determined by the spectra distribution of an ultrasonic signal captured from real testing situation. For the purpose of matching their CF&FB well, a technique for evaluating the optimal scale of a daughter wavelet is carried out too. By acting this daughter wavelet as a band-pass filter, we can obtain excellent de-noising results, even when the signal to noise ratio (SNR) is below -18 dB. The performance of the technique has been done by ultrasonic signals with computer generated white noises. Finally, the experimental verification is performed on a pipeline specimen with man-made small flaws with good results obtained. The results show that the technique is more suitable for processing heavy noised ultrasonic signals, and it can also be used in automatic flaw detection.     

Speckle correlation fringes denoising using stationary wavelet transform. Application in the wavelet phase evaluation technique

This paper presents a stationary wavelet transform (SWT) method for speckle noise reduction in digital speckle pattern interferometry fringes. The main advantage of SWT is its translation invariance, which makes it important in statistical image processing applications. This method was used to denoise a simulated speckle fringe patterns, a good fidelity value was obtained. Applied to the wavelet phase evaluation, it has provided a phase distribution with a good accuracy.     

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对TF线圈馈线系统做了地震响应分析。利用ANSYS有限元软件对一个TF线圈馈线系统进行了模态分析与响应谱分析,得到了在地震载荷下的峰值响应(应力和位移)。最后,根据 ITER 磁体结构设计标准,对系统的最大Tresca应力进行了评估。结果表明,TF线圈馈线系统满足SC1抗震等级的要求。     

ITER TF线圈馈线系统地震动响应分析

对TF线圈馈线系统做了地震响应分析。利用ANSYS有限元软件对一个TF线圈馈线系统进行了模态分析与响应谱分析,得到了在地震载荷下的峰值响应(应力和位移)。最后,根据ITER磁体结构设计标准,对系统的最大Tresca应力进行了评估。结果表明,TF线圈馈线系统满足SC1抗震等级的要求。     

Defect identification in rods subject to forced vibrations using the spatial wavelet transform

Use of the wavelet transform (WT) to study the forced vibrations in a rod in order to detect the presence of a defect is proposed. The axial vibrations in an inhomogeneous rod, produced by the application of different forces, are simulated by the Network Simulation Method and the obtained response is analyzed with the WT. An analysis of the detection and location of defects for several applied forces and defects generated by locally changing density or stiffness of the rod is presented. A noise test was carried out to check the robustness of the technique in real situations.     

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利用有限元仿真软件ANSYS Workbench,结合反应谱法对ITER极向场变流器外旁通设备进行了地震分析。具体分析了在ITER提供的设计地震频谱下,外旁通结构所受的最大等效应力、方向位移以及固定支撑位置的反作用力。分析结果表明,外旁通最大等效应力不超过8.3MPa,最大方向位移不超过2.6mm。以上数据表明,外旁通结构能够满足抗震要求。     

ITER极向场变流器外旁通设备地震分析

利用有限元仿真软件ANSYS Workbench,结合反应谱法对ITER极向场变流器外旁通设备进行了地震分析。具体分析了在ITER提供的设计地震频谱下,外旁通结构所受的最大等效应力、方向位移以及固定支撑位置的反作用力。分析结果表明,外旁通最大等效应力不超过8.3MPa,最大方向位移不超过2.6mm。以上数据表明,外旁通结构能够满足抗震要求。     

Extraction of object position from in-line holograms by using single wavelet coefficient

A novel digital method for tracking position of objects from in-line holograms by using single wavelet coefficient is proposed. In the proposed method, a wavelet transform is used to analyze the holograms. An axial position of the object being studied is determined by using a real value of a resultant wavelet coefficient appears at a center position of interference fringes. A feasibility of this method is experimentally verified by analyzing holograms of an optical fiber.     

基于近红外光谱小波变换的温室番茄叶绿素含量预测

为了提高基于近红外光谱的温室番茄叶绿素含量预测精度,采用小波变换消除光谱中的随机噪声.但是在去噪的同时,也会降低有效信息量.因此,引入平滑指数(SI)和时移指数(TSI)对去噪效果进行量化,以控制变换尺度,获得最佳变换效果.实验表明TSI＜0.01且SI＞0.1004时,在去噪的同时,也能保留反映生化参量的特征峰,从而...     

All wavelet analysis of in-line particle holograms

In-line particle holography is a well-known method used for visualization and measurement of small objects such as sizes, 3-D positions and velocities. However, this method suffers from a major drawback that is conventional analysis of its reconstructed images is very tedious and time consuming. In this paper, we review recent progress in holographic particle tracking and sizing by using wavelet transform. Recent experimental results of spherical object measurement are noted.     

Low-coherence interferometry based roughness measurement on turbine blade surfaces using wavelet analysis

In this paper, a non-contact optical system, a low-coherence interferometer (LCI), is introduced for the purpose of measuring the surface roughness of turbine blades. The designed system not only possesses a high vertical resolution and is able to acquire the roughness topography, but also it has a large vertical scanning range compared to other commonly used optical systems. The latter characteristic allows us to measure turbine blades surfaces with large curvature without collisions between the lens and the measurement object. After obtaining the surface topography, wavelet analysis is applied to decompose the original surface into multiple bandwidths to conduct a multiscale analysis. The results show that the developed LCI system proofs a good performance not only in obtaining the surface topography in the roughness scale but also in being able to measure surfaces of objects that possess a complex geometry in a large vertical range. Furthermore, the applied biorthogonal wavelet in this study has performed good amplitude and phase properties in extracting the roughness microstructures from the whole surface. Finally, the traditional roughness parameters, such as the mean surface roughness S_a and the Root Mean Square (RMS) roughness S_q, are evaluated in each decomposed subband and their correlations with the scale of each subband are analyzed.     

Wavelet multiple correlation and cross-correlation: A multiscale analysis of Eurozone stock markets

Statistical studies that consider multiscale relationships among several variables use wavelet correlations and cross-correlations between pairs of variables. This procedure needs to calculate and compare a large number of wavelet statistics. The analysis can then be rather confusing and even frustrating since it may fail to indicate clearly the multiscale overall relationship that might exist among the variables. This paper presents two new statistical tools that help to determine the overall correlation for the whole multivariate set on a scale-by-scale basis. This is illustrated in the analysis of a multivariate set of daily Eurozone stock market returns during a recent period. Wavelet multiple correlation analysis reveals the existence of a nearly exact linear relationship for periods longer than the year, which can be interpreted as perfect integration of these Euro stock markets at the longest time scales. It also shows that small inconsistencies between Euro markets seem to be just short within-year discrepancies possibly due to the interaction of different agents with different trading horizons.     

Scaling analysis of the effects of load on hand tremor movements in essential tremor

In this paper we have used the Wavelet Transform (WT) and the Detrended Fluctuation Analysis (DFA) methods to analyze hand tremor movements in essential tremor (ET), in two different recording conditions (before and after the addition of wrist-cuff load). We have analyzed the time series comprised of peak-to-peak (PtP) intervals, extracted from regions around the first three main frequency components of the power spectra (PwS) of the recorded tremors, in order to substantiate results related to the effects of load on ET, to distinguish between multiple sources of ET, and to separate the influence of peripheral factors on ET.Our results show that, in ET, the dynamical characteristics, that is, values of respective scaling exponents, of the main frequency component of recorded tremors change after the addition of load. Our results also show that in all the observed cases the scaling behavior of the calculated functions changes as well—the calculated WT scalegrams and DFA functions display a shift in the position of the crossover when the load is added. We conclude that the difference in behavior of the WT and DFA functions between different conditions in ET could be associated with the expected pathology in ET, or with some additional mechanism that controls movements in ET patients, and causes the observed changes in scaling behavior.     

Improved holographic particle sizing by using absolute values of the wavelet transform

A new method for sizing particle from in-line particle holograms by using absolute values of the wavelet transform is proposed in order to improve accuracy in measurements. The proposed method provides direct calculation of the particle size by using spatial frequency information of a chirp signal at minima position of an envelope function. Simulation and experimental results are presented.     

时频分析在超宽带散射信号处理中的应用

 简要介绍了伪Wigner分布和小波变换信号处理中的分析方法，描述了在超宽带散射信号分析中的应用情况，对一些简单形状的金属散射体的双站背向散射信号作了实际测量，并且用伪Wigner分布和小波分析方法对这些信号进行了时频分析，由此验证了超宽带信号在目标探测和识别方面的优越性。     

Modification of three dimensional topography of the machined KDP crystal surface using wavelet analysis method

The wavelet analysis method has been extensively employed to analyze the surface structures and evaluate the surface roughness. In this work, however, the wavelet analysis method was introduced to decompose and reconstruct the sampled surface profile signals in the cutting direction that achieved by SPDT (single point diamond turning) operation, and the surface profile signals in tool feeding direction were reconstructed with the approximate harmonic functions directly. And moreover, the orthogonal design method, i.e. the combination design of general rotary method, was resorted to model the variations of the independent frequency and amplitude of different simulated harmonic signals in the cutting and tool feeding directions. As expected resultantly, a novel 3D surface topography modeling solution was established, which aims to predict and modify the finished KDP (potassium dihydrogen phosphate or KH₂PO₄) crystal surfaces. The validation tests were carried out finally under different cutting conditions, and the collected average surface roughness in any case was compared with the corresponding value as predicted. The results indicated the experimental data were well consistent with the predictions, and only an average relative error of 11.4% occurred in predicting the average surface roughness.     

Wavelet transform analysis of time series generated by the stimulated neuronal activity

We have studied the stimulated discharge dynamics of fusimotor neurons by applying the wavelet transform technique and by adopting that the neuronal discharge dynamics is manifested by the random time series of interspike intervals. We found two different power-law type behaviors along interspike intervals (ISI) time scale (which implies existence of two different types of neuronal noise), which are separated by a crossover region. Our results reveal that complex neuronal dynamics, in the presence of external stimulation, is manifested with long-range correlated noise in the region before the crossover, on the ISI time scale.     

Direct analysis of in-line particle holograms by using wavelet transform and envelope reconstruction method

We propose a new digital method for sizing particles and tracking their positions from an in-line hologram by using a combination of a wavelet transform and a reconstruction of the envelope functions. In the proposed method, the hologram is recorded by a charge-coupled device (CCD) sensor. The wavelet transform of digitized holograms gives information about the position of particles, while the reconstruction of envelope functions provides the size of particles. Preliminary theoretical and experimental verifications are presented. The system limitation of the method is discussed.     

Hidden corrosion detection in aircraft aluminum structures using laser ultrasonics and wavelet transform signal analysis

Preliminary results of hidden corrosion detection in aircraft aluminum structures using a noncontact laser based ultrasonic technique are presented. A short laser pulse focused to a line spot is used as a broadband source of ultrasonic guided waves in an aluminum 2024 sample cut from an aircraft structure and prepared with artificially corroded circular areas on its back surface. The out of plane surface displacements produced by the propagating ultrasonic waves were detected with a heterodyne Mach-Zehnder interferometer. Time-frequency analysis of the signals using a continuous wavelet transform allowed the identification of the generated Lamb modes by comparison with the calculated dispersion curves. The presence of back surface corrosion was detected by noting the loss of the S(1) mode near its cutoff frequency. This method is applicable to fast scanning inspection techniques and it is particularly suited for early corrosion detection.