tanh变换在电磁散射中的应用

在劈的电磁射研究中，复宗量Ｆｒｅｓｎｅｌ函数和Ｍａｉｌｕｚｈｉｎｅｔｓ函数的数值计算是一个既极其重又相当困难的问题，本文运用ｔａｎｈ变换，圆满地解决了这两个特殊函数在整个复平面内的计算机数值计算问题，通过计算机计算与两组精确值的比较，本文所给出了的方法计算精度高，并且计算速度快。     

有耗电磁场问题中复宗量整数阶圆柱函数的计算

本文介绍了复宗量整数阶圆柱函数数值计算的递推算法。在计算机允许的数值范围内对圆柱函数的阶数及宗量范围均没有限制。试算结果经加法定理和Wronskian关系式的验算表明准确度很高。     

复宗量菲涅耳积分的计算及其性质

复宗量菲涅耳(Fresnel)积分的计算,是有耗介质劈电磁散射中遇到的一个难题。本文综合运用了复宗量菲涅耳积分的小宗量级数展开和大宗量渐近展开,并且找到了大宗量展开与小宗量展开的衔接部,圆满地解决了菲涅耳积分在整个复平面内的计算机计算问题。本方法计算速度快,精度高。此外,本文还研究了菲涅耳积分在复平面上的对称性、零点等性质,给出了菲涅耳积分在复平面上的三维立体图和二维等值线图。     

整数阶复宗量圆柱函数的数值计算

提出了一种复宗量圆柱函数数值计算的新方法。该方法通过研究各类圆柱函数模值随其阶数ｎ的变化关系，提出了首先解决复宗量第二类修正Ｂｅｓｓｅｌ函数Ｋｎ（ｚ）的数值计算，然后应用Ｊｎ（ｚ）、Ｋｎ（ｚ）与其它圆柱函数的关系，解决Ｙｎ（Ｚ）、（ｚ）的数值计算方法。在计算机允许的数值范围内，该方法对圆柱函数的阶数及宗量范围均没有限制，而且计算精度高、编程简单。     

复宗量圆柱函数叉积的数值计算

本文详细介绍了整数阶复宗量圆柱函数叉积的数值计算方法，分析了各种叉积计算公式的适用范围。     

整数阶复宗量圆柱圆数的数值计算

提出了一种复宗量圆柱圆数数值计算的新方法。该方法通过研究各类圆柱函数模随其阶数ｎ的变化关系，提出了道德解决复宗量第二类修正Ｂｅｓｓｅｌ函数Ｋｎ（ｚ）的数值计算，然后应用Ｊｎ（ｚ）、Ｋｎ（ｚ）与其它圆柱函数的关系。     

导电媒质平面上方垂直磁偶极源赫兹位函数的球面波展开式

精确有效地计算索末菲尔德型积分是分析导电媒质半空间电磁波辐射和散射问题的关键.本文给出求解有限导电媒质平面上方垂直磁偶极源赫兹位函数的解析方法.利用圆柱波函数的球面波函数展开式和超几何函数理论,位函数中的索末菲尔德积分被表示成快速、绝对收敛的球面波展开式;展开系数是以物性参数为复宗量的勒让德多项式.该展开式易于电磁场的计算和分析,并且不受场点和源点的位置、媒质的物性参数和频率等条件的限制.     

复宗量拉盖尔-高斯光束及其特性研究(英文)

用由广义惠更斯-菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔-高斯光束及其传输特性。采用光束传输因子(M2因子)和桶中功率(PIB)来表征光束质量,对复宗量和实宗量拉盖尔 高斯光束的光束质量进行了比较,并对所得结果作了分析。     

任意实数阶复宗量第一类和第二类Bessel函数的精确计算

本文介绍了精确计算任意实数阶复宗量第一类和第二类Ｂｅｓｓｅｌ函数Ｊｕ（ｚ）和Ｙｕ（ｚ）的递推算法；给出了计算函数值时要用到的数学公式和典型数值计算结果，并对如何验证程序的正确性和分析计算结果的精度以及编程技巧作了较详细的讨论。     

一维有限孔径时谐辐射的一种解析分析

给出了计算一维有限孔径时谐辐射的一种简单的解析描述.根据线源叠加理论,在Fresnel近似条件下推得一计算辐射场的积分公式.通过用矩形函数对孔径上场分布函数的加权,并利用矩形函数在[0,∞)区间可以近似为一组高斯函数的线性叠加这一性质,可使场积分直接利用积分公式计算化为一组偏心高斯束的叠加.就同相孔径和线性相移孔径场分布作了数值计算,与文献中的结果作了比较,符合较好.     

Dynamic computation offloading in time-varying environment forultra-dense networks: a stochastic game approach

To meet the demands of large-scale user access with computation-intensive and delay-sensitive applications, combining ultra-dense networks (UDNs) and mobile edge computing (MEC)are considered as important solutions. In the MEC enabled UDNs, one of the most important issues is computation offloading. Although a number of work have been done toward this issue, the problem of dynamic computation offloading in time-varying environment, especially the dynamic computation offloading problem for multi-user, has not been fully considered. Therefore, in order to fill this gap, the dynamic computation offloading problem in time-varying environment for multi-user is considered in this paper. By considering the dynamic changes of channel state and users queue state, the dynamic computation offloading problem for multi-user is formulated as a stochastic game, which aims to optimize the delay and packet loss rate of users. To find the optimal solution of the formulated optimization problem, Nash Q-learning (NQLN) algorithm is proposed which can be quickly converged to a Nash equilibrium solution. Finally, extensive simulation results are presented to demonstrate the superiority of NQLN algorithm. It is shown that NQLN algorithm has better optimization performance than the benchmark schemes.     

Calculation of Maliuzhinets function in complex region

Numerical computation of the Maliuzhinets (1958) function is a difficult and important problem encountered in electromagnetic scattering by a wedge with impedance faces. We employ the tanh transformation to successfully solve this problem. The computation of our result with the precision values shows that the computing precision of our method is high     

基于球谐分析和三维矩的超二次模型匹配计算

超二次模型能够利用简洁的参数有效地描述大量复杂的、真实的三维形状,因此,在计算机视觉和计算机图形中都得到了广泛的应用。超二次模型形状匹配计算是应用超二次模型进行三维物体识别的一个关键问题。本文对此进行了详细的研究,提出了两种新的方法,即基于球谐分析和三维矩的匹配计算方法。特别地,在基于球谐分析的方法中,提出了一个新的采样算法,用以构造描述超二次模型的离散球函数。实验表明,本文提出的方法能够有效地进行超二次模型三维形状的匹配计算,为开发基于超二次模型的三维物体识别系统奠定了良好的基础。     

The tolerance method for electromagnetic scattering

The original electromagnetic field will be disturbed when the parameter of a local region is changed. To find the distribution of the disturbed electromagnetic field a boundary value problem, which is different from the original one, must be solved. A method to find the disturbed electromagnetic field from the known original one with a minimum amount of computation would be very significant. In this paper, we present a method, tolerance method, which can save significant computer time in the computation of the disturbed electromagnetic field. This method can be used for many complicated boundary value problems as well as for optimum design in engineering. An example of the computation of an electromagnetic scattering problem is given in this paper     

A remark on the computation of Fock functions for negative arguments

The Fock functions are mainly used in diffraction theory. A problem with some of these functions is that accurate numerical computation of integrals with certain exponentials is needed. An integration contour that essentially solves this problem is discussed.     

Learning for Smart Edge: Cognitive Learning-Based Computation Offloading

With the development of intelligent applications, more and more intelligent applications are computation intensive, data intensive and delay sensitive. Compared with traditional cloud computing, edge computing can reduce communication delay by offloading computing tasks to edge cloud. Furthermore, with the complexity of computing scenarios in edge cloud, deep learning based on computation offloading scheme has attracted wide attention. However, all the learning-based offloading scheme does not consider the where and how to run the offloading scheme itself. Thus, in this paper, we consider the problem of running the learning-based computation offloading scheme for the first time and propose the learning for smart edge architecture. Then, we give the computation offloading optimization problem of mobile devices under multi-user and multi edge cloud scenarios. Furthermore, we propose cognitive learning-based computation offloading (CLCO) scheme for this problem. Finally, experimental results show that compared with other offloading schemes, the CLCO scheme has lower task duration and energy consumption.

     

基于深度强化学习的云边协同计算迁移研究

基于单一边缘节点计算、存储资源的有限性及大数据场景对高效计算服务的需求,本文提出了一种基于深度强化学习的云边协同计算迁移机制.具体地,基于计算资源、带宽和迁移决策的综合性考量,构建了一个最小化所有用户任务执行延迟与能耗权重和的优化问题.基于该优化问题提出了一个异步云边协同的深度强化学习算法,该算法充分利用了云边双方的计...     

姚氏百万富翁问题的高效解决方案

姚氏百万富翁问题解决方案已经成为许多多方保密计算问题解决方案的一个基本模块,但现有的解决方案效率低下,因而影响到其他多方保密计算方案的效率.本文利用长度函数与不经意传输设计了一个高效的解决方案,新方案同原有方案相比,计算复杂性明显降低.     

Analog Computation Using Single-Electron Circuits

Analog computation is a processing method that solves a given problem by utilizing an analogy of a physical system to the problem. An idea is presented here for relating the behavior of single-electron circuits to analog computation. As an instance, a method is proposed for solving a combinatorial problem, the three-colorability problem, by using the properties of single-electron circuits. In problem solving, a single-electron circuit is constructed that is analogous to a given problem; then, through an annealing procedure, the circuit is made to settle down to its minimun energy state. The correct solution to the problem can be obtained by checking the final arrangement of electrons in the circuit. Analog computation is a promising architecture for single-electron computing systems.