Low-frequency harmonic vibration analysis with temporal speckle pattern interferometry

In this paper, the time sequence phase method (TSPM) has been applied to measure the displacement caused by low-frequency vibration in temporal speckle pattern interferometry (TSPI). The principle is that by capturing the temporal speckle patterns related to the object vibration, the whole-field displacement responses (amplitude and phase) of the vibrating object can be calculated through scanning these fluctuations. Thus, quantitative measurement can be carried out using a conventional ESPI system without a camera synchronized to the object vibration or a phase shifting system. The elaboration on the method is given and experimental results are presented.     

Application of wavelet transform in-ray spectra analysis

The frequency distribution of different ingredients in-ray spectra,e.g.,photo-peak,fluctuations of counts and Compton region,is separately analyzed.After wavelet transform of-ray spectra,the wavelet coefficients of a photo-peak increase with transforming scales and these coefficients show direct proportion with intensity of peak at determinate scale.A novel algorithm based on wavelet transform is proposed and studied.The results indicate that most of the photo-peaks in multi-spectra can be determined accurately,the-rays energy and intensity of the peak can also be determined.This method has the prospect of being applied in on-line multi-spectra analysis in such fields as radioprotection and nuclear safety monitoring.     

光学可分离小波变换的研究

为改进光学小波变换,提出了光学可分离小波变换的概念。通过对光学小波变换的必要条件进行分析,采用层叠算法和二维可分离小波变换构造方法计算出了尺度和小波函数的二维离散近似序列。将新的母小波引入到光学小波变换中,获得了光学可分离小波变换。通过与现有光学小波变换及二维可分离离散小波变换进行比较说明了其优点。     

基于小波变换的信号去噪在瑞利-泰勒不稳定性定标实验中的应用

 采用Daubechies小波分析,对神光Ⅱ装置上流体力学不稳定性实验中样品扰动幅度和X光强度之间定标关系的数据进行了处理,获得了比较理想的去噪效果,并由此得到了平面调制靶波长及材料线性吸收系数等细节信息。该定标关系对准确测量瑞利-泰勒不稳定性的增长至关重要。作为对比,利用Wiener滤波方法对数据进行了处理,结果显示在处理这类信号时,Daubechies小波滤波在去除噪声和保留信号细节特征方面明显优于Wiener滤波。     

基于小波变换的信号去噪在瑞利-泰勒不稳定性定标实验中的应用

采用Daubechies小波分析,对神光Ⅱ装置上流体力学不稳定性实验中样品扰动幅度和X光强度之间定标关系的数据进行了处理,获得了比较理想的去噪效果,并由此得到了平面调制靶波长及材料线性吸收系数等细节信息。该定标关系对准确测量瑞利-泰勒不稳定性的增长至关重要。作为对比,利用Wiener滤波方法对数据进行了处理,结果显示在处理这类信号时,Daubechies小波滤波在去除噪声和保留信号细节特征方面明显优于Wiener滤波。     

简谐振动速度测量的误差分析

针对简谐振动实验数据处理存在的问题进行分析,提出以t到t+Δt的平均速度表示t+Δt/2时刻的瞬时速度而不是t时刻的瞬时速度,利用多项式最小二乘法拟合实验数据得到与理论计算相吻合的振动曲线.     

非一倍频程的小波算法

本文从舰船幅射噪声分析的需要出发,提出了一种非一倍频程的小波变换算法。把Mallat塔式算法和Morlet连续小波算法结合起来,进行了一种分层的小波变换,与Morlet的不降采样的算法相比,大大减少了的变换后的数据量。这一算法的应用并不局限于舰船噪声的分析,它同样可以应用到其它一切需要的场合。     

Pulsed TV-holography recording for vibration analysis applications

TV-holography is a well-known tool for vibration analysis. Using the so-called time-average method, this technique allows to record interferograms showing the mode shapes of a structure submitted to vibration excitation and is currently used for modal identification.Within the frames of a BRITE-EURAM program called vibration intensity processing using full-field multi-pulse laser technique (VIP), a TV-holography equipment has been developed, working with a 25 Hz pulsed laser and allowing easy on-site measurements. A measurement procedure has been defined and a specific data processing has been developed for the determination of structural intensity fields, which give transfer path of the vibration energy within a structure.The measurement of these quantities is possible the using classical means (accelerometers, stress gauges, etc.) but the data processing is complex and require a lot of accurate sensors because it is based on spatial derivatives of high order. The optical techniques (laser vibrometry, holography, etc.) are more suited for that purpose because of the high density of measuring points and because of the well-known advantages of these methods: reduced measurement time and no modification of the mass parameters of the structure as it is the case when using contact sensors.Different kinds of output data are then given: operational deflection shape, amplitude and phase, structural intensity field and its divergence through a further step of data processing. The complete procedure with the associated data processing has been tested (for various configurations of excitation and damping) first on a clamped plate, then on a cylinder and at the end on several industrial components.This paper describes the general measurement procedure and the equipment used. The data processing is also presented and various measurement results are shown. The conclusion gives the main advantages and limitations of the method and evaluates the application possibilities.     

Hybrid two-dimensional continuous wavelet transform for analysis of phase-shifted interferograms

In interferogram or fringe pattern analysis, a technique capable of automatically analyzing interferograms that contain complex fringes and high-level noise as well as defects is highly demanded. In this paper, a hybrid technique combining the concepts of the two-dimensional continuous wavelet transform technique and the phase-shifting technique is proposed. The novel technique takes the advantages of the two existing techniques, and has the ability to accurately and automatically analyze multiple phase-shifted complex interferograms involving noise and defects. The validity of the technique is demonstrated by both computer simulation and real experiment.     

Instantaneous intensity analysis of impulsive sound by the wavelet transform

The method for measuring instantaneous intensity by using the wavelet transform is proposed. We also conducted an analysis of the experimental data by using the hammering noise and confirmed the applicability of this calculation method.     

Roller bearing acoustic signature extraction by wavelet packet transform,applications in fault detection and size estimation

Continuous online monitoring of rotating machines is necessary to assess real-time health conditions so as to enable early detection of operation problems and thus reduce the possibility of downtime. Rolling element bearings are crucial parts of many machines and there has been an increasing demand to find effective and reliable health monitoring technique and advanced signal processing to detect and diagnose the size and location of incipient defects. Condition monitoring of rolling element bearings, comprises four main stages which are, statistical analysis, fault diagnostics, defect size calculation, and prognostics. In this paper the effect of defect size, operating speed, and loading conditions on statistical parameters of acoustic emission (AE) signals, using design of experiment method (DOE), have been investigated to select the most sensitive parameters for diagnosing incipient faults and defect growth on rolling element bearings. A modified and effective signal processing algorithm is designed to diagnose localized defects on rolling element bearings components under different operating speeds, loadings, and defect sizes. The algorithm is based on optimizing the ratio of Kurtosis and Shannon entropy to obtain the optimal band pass filter utilizing wavelet packet transform (WPT) and envelope detection. Results show the superiority of the developed algorithm and its effectiveness in extracting bearing characteristic frequencies from the raw acoustic emission signals masked by background noise under different operating conditions. To experimentally measure the defect size on rolling element bearings using acoustic emission technique, the proposed method along with spectrum of squared Hilbert transform are performed under different rotating speeds, loading conditions, and defect sizes to measure the time difference between the double AE impulses. Measurement results show the power of the proposed method for experimentally measuring size of different fault shapes using acoustic emission signals.     

利用小波变换进行海上目标识别研究

对海面舰船目标类型的识别,通常采用目视判读的方法。由于目视判读的方法不利于大面积侦察任务的快速识别,所以根据海上目标所具有的背景单一、结构复杂的特点,提出了利用小波变换所具有的多分辩率、易于消除噪声、运算方便的特点来提取舰船边缘特征,建立舰船结构特征数据库,实现舰船目标类型的自动判读。试验证明效果很好。     

Quantum tomography with wavelet transform in Banach space on homogeneous space

In this study the intimate connection is established between the Banach space wavelet reconstruction method on homogeneous spaces with both singular and nonsingular vacuum vectors, and some of the well known quantum tomographies, such as: Moyal-representation for a spin, discrete phase space tomography, tomography of a free particle, Homodyne tomography, phase space tomography and SU(1,1) tomography. And both the atomic decomposition and the Banach frame nature of these quantum tomographic examples are also revealed in details. Finally the connection between the wavelet formalism on Banach space and Q-function is discussed.     

Collins formula interpreted as wavelet transform

Based on the manipulation of input and output complex amplitude definitions of a light field in space domain, one direct relation between the Collins formula and the wavelet transform has been derived, namely, the Collins formula has been interpreted as a generalization of the wavelet transform. Then some elementary optical systems’ behavior has been described according to this derivation for example. This observation would be useful in various optical applications by virtue of wavelet transform's character.     

Extended fractional wavelet joint transform correlator

An extended fractional wavelet joint transform correlator is implemented for real-time target recognition applications. The real-time input scene captured using a charge-coupled device camera along with the reference image is fractional Fourier transformed. The obtained joint power spectrum is multiplied by an appropriately scaled wavelet filter and the resultant function is differentiated. The application of wavelet filter enhances the correlation outputs and differential processing of wavelet-filtered joint power spectrum improves the detection efficiency by reducing the zero-order spectra. Targets with Gaussian and speckle noise have also been used to check the correlation output. The performance metrics: correlation peak intensity, peak-to-correlation energy, peak-to-sidelobe ratio and signal to clutter ratio have been calculated. The experimental results are presented in support of the proposed idea.     

Application of wavelet transform to hologram analysis: three-dimensional location of particles

The wavelet analysis provides an efficient tool in numerous signal-processing problems and has been implemented in optical processing techniques, such as in-line holography. When the diffraction pattern recorded on a hologram is analyzed by means of a wavelet transform, the 3-D location of small particles can be determined very accurately. The diffraction process can, in fact, be interpreted as a convolution with a family of wavelet functions, or, merely, as a wavelet transform. The scale parameter of the wavelet family is related to the axial distance z that the wave propagates. The original field is then reconstructed by searching for the optimum value of the scale parameter which produces a maximum of the wavelet transform modulus. The technique proposed is implemented and experimental results are presented.     

Gabor transform and continuous wavelet transform for model pulsed signals

A model of a pulsed signal in the form of a superposition of elementary nonstationary signals is considered. The parameters of such a superposition are chosen so that signal amplitude A(t) strongly varies with time. For such a signal, the analytic expression for the Gabor transform (GT) and continuous wavelet transform (CWT) using the mother Morlet wavelet are analyzed. A criterion is proposed for the matched behaviors of GT and CWT with signal amplitude A(t). The advantages of the CWT adaptively selecting the window size over the GT whose explicit form depends on the window size are demonstrated. The proposed method can be used for analysis of many transient stages of time-dependent signals in various branches of physics.     

The use of wavelet transform for the correlation analysis of boundary-layer pulsations

As a rule, experimental studies at hypersonic Mach numbers are carried out in short-duration wind tunnels. Under such conditions, data on boundary-layer pulsations are primarily measured by surface pressure sensors. There are many factors affecting the level of pulsations at model walls; that is why the cross-correlation analysis is often invoked to analyze the development of wave packets in boundary layer. However, the standard correlation analysis very often fails in providing the possibility to trace the evolution of wave packets. In the present publication, we propose a new method for obtaining cross-correlation data based on the wavelet transform.     

小波变换的信号分形分析及其在心电信号处理中的应用研究

介绍了一种基于小波变换的分形分析方法,并将它成功地应用于心房纤颤的检测中.该方法提取了一个特征值r,结果表明在心房纤颤开始时,特征值是上升的,心房纤颤结束后,特征值又慢慢恢复到原来的数值,由此可以成功地检测出心房纤颤的开始和结束.此外,由于特征值同时反映了heartratevariability(HRV)信号的复杂程度,所以同时它也表明:心房纤颤开始后,HRV信号的复杂度是下降的 关键词： HRV 小波变换 分形