估计小波系数方差邻域大小的研究

利用小波变换去噪时小波系数方差的估计对去噪结果影响很大。自然图像小波分解后得到的系数在不同的分辨率中差异很大,所以利用邻域估计中心点方差时,不同分辨率应有不同大小的邻域。首先对在邻域中利用极大似然准则估计中心点方差进行分析,再结合自然图像小波分解后的系数在不同分辨率子带中,根据平稳性和重要性选择邻域的大小。最后进行去噪实验,并取得正交小波分解下理想的去噪性能。     

A general variance predictor for Cavalieri slices

A general variance predictor is presented for a Cavalieri design with slices of an arbitrary thickness t ≥ 0. So far, prediction formulae have been available either for measurement functions with smoothness constant q = 0, 1, … , and t ≥ 0, or for fractional q ∈ [0, 1] with t = 0. Because the possibility of using a fractional q adds flexibility to the variance prediction, we have extended the latter for any q ∈ [0, 1] and t ≥ 0. Empirical checks with previously published human brain data suggest an improved performance of the new prediction formula with respect to the hitherto available ones.     

Radon变换在低信噪比图像中的线段检测

Radon变换在数学理论上有重要价值,并可用于图像直线特征的提取,但是在检测线段时,Radon变换无法提供线段的端点以及长度信息,低信噪比时检测难度加大。探讨了Radon变换在低信噪比图像特征检测的适用性,分析了Radon变换的优势与不足,并从信息融合的角度出发,提出了Radon变换补充的应用策略,对低信噪比的机场跑道图像进行了验证,显示出较好的检测效果。     

基于数字化二次曝光干涉的光学元件波前畸变测量

将傅立叶变换条纹分析方法与二次曝光全息干涉计量相结合，提出了数字化二次曝光干涉术，用于测量光学元件引入的波前畸变。文中给出了理论分析，模拟与光学实验结果证实提出的方法具有高精度、快速的波前测量特点，可应用于激光系统中光学元件的波前畸变在线检测。     

数字振荡器的实现原理与仿真编程

鉴于数字信号处理中的实时应用问题，探讨了数字滤波器的实时实现原理，包括离散时间网络结构的作用和离散时间信号处理的特点，重点介绍了实时应用中实现数字滤波器的基本思想，运用MATLAB和所导出的通用数字振荡器的系统函数对一个非正弦数字振荡器进行了仿真编程，还讨论了有关实时处理的几个重要的系统性质，表达了作者对于当前学习和应用数字信号处理方法的观点。     

拉普拉斯变换的图形分析

以单边指数函数为例，分析了拉普拉斯变换象函数F(s)在其收敛域内随σ和ω的变化规律，通过|F(s)|曲面图来观察这些规律，并解释了图中某些特定点及剖面的含义，以形象化的方式加深对拉普拉斯变换的认识。借助MATLAB的绘图功能绘制出F(s)的曲面图、剖面图及信号的频谱图，从中可以观察到频域与复频域的关系以及系统函数的零极点分布等。     

基于椭圆曲线上EIGamal公钥体制的数字签名方案

论文提出了基于椭圆曲线上EIGamal加密体制的数字签名方案，并出于安全性的考虑进行了一点改动。另外，应用了Tate配对对签名进行验证。     

轮式工程机械轮边减速器优化模型与方法

论述了重构轮式工程机械轮边减速器优化设计数学模型的必要性,给出了精确化的目标函数,全面化和准确化的设计变量、基于并行设计的约束条件;介绍了对优化解适用性评价的方法和手段。巧妙地解决了优化解中离散变量的圆整问题,提供了基于MATLAB的求解反渐开线函数的M文件。     

A new efficient numerical method and the dynamic analysis of composite laminates with piezoelectric layers

Firstly, a numerical method for the inversion of Laplace transform is developed and its accuracy is shown through examples. Then, a state-vector equation for the dynamic problems of piezoelectric plates is deduced directly from a modified mixed variational principle for piezoelectric bodies and its exact solution for the dynamic problems of simply supported rectangle piezoelectric plate is simply given. For multilayered hybrid plates, we derive the solution in terms of the propagator matrices. The techniques accounts for the compatibility of generalized displacements and generalized stresses on the interface both the elastic layers and piezoelectric layers, and the transverse shear deformation and the rotary inertia of laminate are also considered in the global algebraic equation of structure. Meanwhile, there is no restriction on the thickness and the number of layers. As an application of the numerical inversion of Laplace transform presented in this paper, typical numerical examples of the harmonic vibration and transient response are proposed and discussed. Since the highly accurate numerical results, they can serve as benchmarks to test various thick plate theories and various numerical methods, such as the finite and boundary element methods for transient response problems.     

Analytical prediction of composite beams response in fire situations

In this paper an extension of the method of the Fourier series expansion to the fire analysis of composite beams is presented. In particular the extension concerns the introduction of the temperature dependent interaction of all the components: steel beams, concrete slab and steel connectors. These last are considered of finite stiffness, and a proper account is given to the combined effect of thermal degradation of the properties, and stress amplification caused by the differential thermal expansion across the interface.The proposed method compares very well with some experimental fire tests of simply supported and framed composite beams. Due to its relative simplicity and speed, it can be used for design purposes in evaluating the critical temperature in terms of critical deflection. Finally we recall that the method is capable of dealing with every type of fastening distribution, such as discontinuous or variable length.