小波变换思想及其在信号处理中的应用

从傅里叶变换、短时傅里叶变换到小波变换的思想发展过程中分析了小波变换发展的必然性和重要性,并通过MATLAB仿真工具比较了三种变换在信号处理中的应用。实验结果表明,小波变换无论是对信号的时间定位还是对信号的频率定位都优于傅里叶变换和短时傅里叶变换。     

MEMS器件平板运动空气阻尼研究

针对微电子机械系统中平行板间的气膜阻尼问题,通过将平板沿垂直方向的位移运动方程展开为傅里叶级数,得到了微平面机构所受的空气阻尼力和阻尼系数的解析公式。结果表明,空气阻尼系数近似与两平板间气隙厚度的三次方成反比。通过对微加速度开关质量块工作时所受的空气阻尼进行仿真分析,得出该开关的阻尼系数在工作过程中为变阻尼的结论,并分析了空气阻尼系数对于开关性能的影响。     

A second order model for cylindrical data

Modeling cylindrical data, comprised of a linear component and a directional component, can be done using Fourier series expansions if we consider the conditional distribution of the linear component given the angular component. This paper presents the second order model which is a natural extension of the Mardia and Sutton (1978) first order model. This model can be parameterized either in polar or Cartesian coordinates, and allows for parameter estimation using standard multiple linear regression. Characteristic of the new model, how to compare the adequacy of the fit for first and second order models, and an example involving wind direction and temperature are presented.     

Sensitivity studies of air scattered neutron dose from particle accelerators

Sensitivity analysis of air scattered neutron dose at several distances from a particle accelerator with respect to shield thickness and neutron yield distributions has been carried out. We illustrate the successful use of Response Surface Methodology in studying the behaviour of the sensitivity coefficients for main effects and interaction terms. A comparison of the full six factor design and the orthogonal Central Composite Design has been made. The overhead shield is found to be the most sensitive parameter followed by the high energy part of the neutron energy distribution.     

Reliability of global sensitivity indices

Uncertainty and sensitivity analysis is an essential ingredient of model development and applications. For many uncertainty and sensitivity analysis techniques, sensitivity indices are calculated based on a relatively large sample to measure the importance of parameters in their contributions to uncertainties in model outputs. To statistically compare their importance, it is necessary that uncertainty and sensitivity analysis techniques provide standard errors of estimated sensitivity indices. In this paper, a delta method is used to analytically approximate standard errors of estimated sensitivity indices for a popular sensitivity analysis method, the Fourier amplitude sensitivity test (FAST). Standard errors estimated based on the delta method were compared with those estimated based on 20 sample replicates. We found that the delta method can provide a good approximation for the standard errors of both first-order and higher-order sensitivity indices. Finally, based on the standard error approximation, we also proposed a method to determine a minimum sample size to achieve the desired estimation precision for a specified sensitivity index. The standard error estimation method presented in this paper can make the FAST analysis computationally much more efficient for complex models.     

Setting the control limit at release for stability assurance

A common task in quality control is to determine a control limit for a product at the time of release that incorporates its risk of degradation over time. Such a limit for a given quality measurement will be based on empirical stability data, the intended shelf life of the product and the stability specification. The task is particularly important when the registered specifications for release and stability are equal. We discuss two relevant formulations and their implementations in both a frequentist and Bayesian framework. The first ensures that the risk of a batch failing the specification is comparable at release and at the end of shelf life. The second is to screen out batches at release time that are at high risk of failing the stability specification at the end of their shelf life. Although the second formulation seems more natural from a quality assurance perspective, it usually renders a control limit that is too stringent. In this paper we provide theoretical insight in this phenomenon, and introduce a heat-map visualisation that may help practitioners to assess the feasibility of implementing a limit under the second formulation. We also suggest a solution when infeasible. In addition, the current industrial benchmark is reviewed and contrasted to the two formulations. Computational algorithms for both formulations are laid out in detail, and illustrated on a dataset.     

完全经济效益的研究——兼论提高经济效益的途径

在文献[1]的基础上提出了完全经济效益系数的概念,建立了计算公式,分析了影响完全经济效益系数的因素,讨论了提高完全经济效益的一些途径,建立了完全经济效益系数变动的基本方程,讨论了生产要素系数变动的影响力。     

Ability vs Background: An Analysis of the Distribution Mechanism of Higher Education Enrolment Opportunities

Individual education performance is usually influenced jointly by ability and background (family background). The relative share of these two factors forms the basic grounds for judgments of educational equity. Using sheaf coefficients, we compare the influence of these two mechanisms on the distribution of access to regular first degree higher education opportunities for institutions at different levels. Our findings show that both ability and family background have a marked influence. The higher the level of the institution, the greater the ability demanded of its students. The effect of family also increases significantly at this level, but ability always has a much stronger influence than family background. It can be seen that though family background is influential in the distribution of higher education opportunities in China today, ability fundamentally remains the dominant criterion, embodying the classic features of a meritocratic society “open to talent.”     

多股流换热器传递函数系数的理论确定方法

用数值模拟方法对一四股流板翅式换热器分别施加流量、进口温度的阶跃变化,获得其出口温度动态的响应曲线;用理论方法研究了其传染函数的系数,从而得到了四股流换热器的传递函数,并对其结果进行了分析,所得的四股流板翅式换热器的传递函数系数炎其自动控制试验提供了理论依据。     

复调和函数的混合边值问题

利用Ｆｏｕｒｉｅｒ方法得到复调和函数的混合边值问题解的表示式及解的存在性定理并讨论了解的唯一性．