任意矩阵伸缩的正交小波包

1 引言 Coifman和Meyer引入L~2(R)中正交小波包,可以用张量积形式构造L~2(R~2)上的二维正交小波包;Chui和Li研究单变量非正交小波包和对偶小波包;Shen给出矩阵伸缩为2I时L~2(R~s)上非张量积小波包的构造算法;程正兴给出矩阵小波包的构     

Phase diagram,correlations,and quantum critical point in the periodic Anderson model

Periodic Anderson model is one of the most important models in the field of strongly correlated electrons. With the recent developed numerical method density matrix embedding theory, we study the ground state properties of the periodic Anderson model on a two-dimensional square lattice. We systematically investigate the phase diagram away from half filling. We find three different phases in this region, which are distinguished by the local moment and the spin–spin correlation functions. The phase transition between the two antiferromagnetic phases is of first order. It is the so-called Lifshitz transition accompanied by a reconstruction of the Fermi surface. As the filling is close to half filling, there is no difference between the two antiferromagnetic phases. From the results of the spin–spin correlation, we find that the Kondo singlet is formed even in the antiferromagnetic phase.     

等离子体双极Euler-Maxwell方程的非相对论极限

通过非相对论极限研究了等离子体双极Euler-Maxwell方程到可压的EulerPoisson方程的收敛性,证明了两个系统局部光滑解的存在性.对于好的初值,运用能量方法和迭代方法严格验证了解的收敛性.     

二元正交小波的构造

高维小波是处理多维信息的工具。本文给出的构造紧支撑不可分二元正交小波函数的算法，当尺度函数和符号中所含因子[(1 z1/2)(1 z2/2)]^2的幂指数r越高时，尺度函数越光滑。     

紧支撑二元正交小波滤波器的构造

高维小波是处理多维信号的有力工具，张量积小波有其自身的缺点．本文给出矩形域上二元正交小波滤波器的一种参数化构造算法，二元小波滤波器的这种构造方法使我们能更方便地研究非张量积的二元正交小波．最后给出算例．     

CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS

After some permutation of conjugate quadrature filter, new conjugate quadrature filters can be derived. In terms of this permutation, an approach is developed for constructing compactly supported bivariate orthogonal wavelets from univariate orthogonal wavelets. Non-separable orthogonal wavelets can be achieved. To demonstrate this method, an example is given.     

山茱萸中防晒成分的提取及其稳定性

以考察山茱萸吸收紫外线防晒能力为目的,以紫外吸收值为指标,研究了超声波提取山茱萸中防晒成分的提取条件及其稳定性。结果表明,提取山茱萸药材中防晒成分的最佳提取方案为50%乙醇,料液比为1:30,超声时间为30min;通过分析发现温度,光照对山茱萸提取液稳定性的影响都不显著。山茱萸有较强紫外线吸收即防晒能力,是具有广谱防晒作用的天然植物。     

一类二元半正交小波包的构造

本文给出伸缩矩阵行列式为2的一类二元半正交小波包的构造算法.该小波包是以频域给出的,随着用于小波包分裂的滤波器选取的不同会得到L2(R2)中形态各异的Riesz基,这样使得L2(R2)中小波基的选择更灵活.     

二元紧支撑正交小波的构造

§ 1.　Introduction　　SinceDAUBECHIES [1 ]gavethewellknownconstructionofunivariatecompactlysup portedorthonormalwavelets,considerableattertionhasbeenspentonconstructingmultivariatecompactlysupportedorthonormalwavelets [2— 5etc.] .Althoughmanyspecialbivariatenon separablewaveletshavebeenconstructed ,itisstillanopenproblemhowtoconstructbivariatecompactlyorthonormalwaveletsforanygivencompactlysupportedscalingfunction .Thepur poseofthispaperistoconstructcompactlysupportedorthogonalwaveletass…     

基于决策树与多元支持向量机的齿轮箱早期故障诊断方法

针对齿轮箱部件故障形式多样的特点和典型故障训练样本数量有限的难点,提出了基于决策树与多元支持向量机的齿轮箱早期故障诊断方法。利用决策树分类速度快、效率高的优点和支持向量机在小样本二元分类方面突出的特点构建多元分类识别模型,在不同故障情形下提取齿轮箱振动信号典型特征参数作为故障特征向量训练模型,并对样本进行测试。实验结果表明,该方法在小样本情况下识别效果明显优于神经网络方法,同时在识别效率方面比常规多元支持向量机方法有了较大的提高。