带通采样定理与中频采集数字正交检波

结合对带通采样定理的理解，讨论了直接中频带通信号采样正交检波的基本原理，重点探讨正交混频低通滤波法和希尔伯特变换频移法。利用对带通采样定理的理解，扩展其应用范围，给出了适用条件、原理框图以及信号流图。最后用仿真实例验证了扩展方法的可行性，对工程实际有一定的参考意义。     

一种新的解决HFC网络汇聚干扰的方法

提出了一种采用FDQAM调制技术和三层架构模型相结合解决HFC网络汇聚干扰的方法。该方法通过对上行传输的数字信号使用FDQAM调制技术进行调制——解调——再调制方式，增加信号模拟到数字，数字再到模拟的处理过程，并采用三层构架模型将HFC网络划分成多个相对较小的子网络方式，减小和消除HFC网络中的汇聚干扰。通过实验证明，该方法能够提高HFC网络的抗干扰能力，解决汇聚干扰，为实现可靠的数据信号回传提供保证。     

攀登伪蒙特卡罗积分法在Sobolev和Korobov空间中的随机化误差

攀登伪蒙特卡罗积分法是由伪蒙特卡罗与蒙特卡罗方法混合而成的一种新方法，它体现了两者的优点．本文研究这种积分法在Sobolev空间和Korobov空间中的随机化误差．我们证明攀登(λ，t，m，s)-网积分法在这两个空间中的随机化误差的渐近阶为n^3/2[logn]^(s-1)/2。     

Fast Construction of the Fejér and Clenshaw–Curtis Quadrature Rules

We present an elegant algorithm for stably and quickly generating the weights of Fejér’s quadrature rules and of the Clenshaw–Curtis rule. The weights for an arbitrary number of nodes are obtained as the discrete Fourier transform of an explicitly defined vector of rational or algebraic numbers. Since these rules have the capability of forming nested families, some of them have gained renewed interest in connection with quadrature over multi-dimensional regions. AMS subject classification (2000) 65D32, 65T20, 65Y20     

Numerical calculation of singular integrals appearing in three-dimensional potential flow problems

Two approximate methods for calculating singular integrals appearing in the numerical solution of three-dimensional potential flow problems are presented. The first method is a self-adaptive, fully numerical method based on special copy formulas of Gaussian quadrature rules. The singularity is treated by refining the partitions of the copy formula in the vicinity of the singular point. The second method is a semianalytic method based on asymptotic considerations. Under the small curvature hypothesis, asymptotic expansions are derived for the integrals that are involved in the calculation of the scalar potential, the velocity as well as the deformation field induced from curved quadrilateral surface elements. Compared to other methods, the proposed integration schemes, when applied to practical flow field calculations, require less computational effort.     

关于一般Guass-Birlhoff求积公式的注(英文)

本文证明了对于关联矩阵E＝（E1，E2），其中E1满足Polya条件，在其内行不含奇序列，E2是正则的，一般Guass-Birkhoff求积公式的存在性。     

The evaluation of Legendre functions of the second kind

A method of evaluating Legendre functions of the second kind by applying the trapezoidal rule to Heine's integral representation is described. An error analysis is given, and some numerical results are obtained.Dedicated to Professor Luigi Gatteschi     

Absorbing boundary conditions and optimized Schwarz waveform relaxation

The numerical evaluation of the transforms in the title, and their inverses, is considered, using a variety of decomposition, truncation, and quadrature methods. Extensive numerical testing is provided and an application given to the numerical evaluation of the kernel of a Fredholm integral equation of interest in mixed boundary value problems on wedge-shaped domains. AMS subject classification (2000) 44A15, 65D30, 65R10     

Bounds for the expectation of the kth root of a random variable

Exact bounds for the mean value of a fractional moment, such as the sample standard deviation, are considered. These bounds are compared with those found by summation techniques applied to computer extended series. An expansion involving an arbitrary parameter is introduced, and now best bounds are found by optimization. There are applications to bounds for a certain class of quadrature problem.     

乘积型相位鉴频器的深入分析

详细分析了乘积型相位鉴频器，推导了鉴频特性的解析公式，分析了近似公式的误差及应用范围，讨论了鉴频灵敏度与电路参数的关系。