A REMARK ON THE ORTHOGONALITY OF A CLASS BIDIMENSIONAL NONSEPARABLE WAVELETS

Let M=(11 1-1).In this paper, a necessary condition and an optimal sufficient condition on the orthogonality of M-wavelets are obtained by the introduction of cycle relat to M.     

MELLIN TRANSFORM IN WEAK FUNCTIONS AND MUENTS FORMULA

In this paper, the authors introduce some Mellin transforms in weak functions and discuss their applications to Mfints formula of the R.iemann zeta-function.     

Clifford M\"{o}bius变换与Hypergenic函数

首先,在实Clifford代数空间Cl_n+1,0(R)中给出了与Clifford Mbius变换相关的一些定理.其次,证明了hypergenic函数与Clifford Mobius变换的复合可以得到一个加权的hypergenic函数.     

窗口Fourier变换反演公式的级数表示——献给陆善镇教授75华诞

本文研究连续窗口Fourier变换的反演公式.与经典的积分重构公式不同,本文证明当窗函数满足合适的条件时,窗口Fourier变换的反演公式可以表示为一个离散级数.此外,本文还研究这一重构级数的逐点收敛及其在Lebesgue空间的收敛性.对于L^2空间,本文给出重构级数收敛的充分必要条件.     

图像信号帧间变换的控制方法

本文论述了在以便件为基础的环境下，沿时间轴对电视图像信号进行帧间变换（如压缩与还原、帧间有序排列等）及其控制方法－帧间编码技术。     

基于激光雷达和特征地图的车辆智能定位研究

针对激光雷达采集行驶车辆的三维点云数据中包含过多畸变数据，影响车辆定位效果的问题，本文研究一种基于激光雷达和特征地图的车辆智能定位方法。激光雷达利用基于飞行时间的激光测距法，采集车辆及其行驶环境的三维激光点云数据，去除激光点云数据中的畸变数据。利用正态分布变换方法，优化删除畸变数据的点云集的正态分布概率值，配准三维激光点云数据。从完成配准后的三维激光点云数据中，提取柱状物体的圆形特征，构建车辆行驶的自然柱状特征地图。利用卡尔曼滤波算法，结合自然柱状特征地图信息，实现高精度的车辆智能定位。实验结果证明：该方法可以精准定位车辆目标，车辆智能定位精度较高，最高可达到97%,定位效率较好，最短可在5 s时间内完成定位，具有一定应用价值。     

留数法在反Z变换中的应用

一般参考书中，对拉氏变换的逆变换的留数解法讨论得比较详细，而对反Z变换的留数法介绍较少，只讨论了单边反Z变换的情况。实际上，留数法也可以用于双边反Z变换，而且正是其优势所在。本文结合具有有理分式形式的生成函数的反Z变换，具体讨论了留数法在Z反变换中的应用。     

Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders

The velocity field and the associated shear stress corresponding to the longitudinal oscillatory flow of a generalized second grade fluid, between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. Initially, the fluid and cylinders are at rest and at t = 0＋ both cylinders suddenly begin to oscillate along their common axis with simple harmonic motions having angular frequencies Ω1 and Ω2. The solutions that have been obtained are presented under integral and series forms in terms of the generalized G and R functions and satisfy the governing differential equation and all imposed initial and boundary conditions. The respective solutions for the motion between the cylinders, when one of them is at rest, can be obtained from our general solutions. Furthermore, the corresponding solutions for the similar flow of ordinary second grade fluid and Newtonian fluid are also obtained as limiting cases of our general solutions. At the end, the effect of different parameters on the flow of ordinary second grade and generalized second grade fluid are investigated graphically by plotting velocity profiles.     

小波分析方法及其应用

１．小波和小波分析冉启文．小波分析方法及其应用．数理统计与管理．１９９９，１８（１），５２～５５“小波分析（ＷａｖｅｌｅｔＡｎａｌｙｓｉｓ）”是一种新的分析方法，它是继Ｆｏｕｒｉｅｒ分析之后纯粹数学和应用数学完美结合的又一光辉典范。小波分析的产生、发...