多次采样与希尔伯特变换

针对文献［１］提出的多次采样方法，证明了多次采样法在一定条件下等效于一种希尔伯特变换器，并用数据证明：当信号的相对带宽小于８０％时，９次采样所获得的正交分量误差可忽略。     

Bayesian quadrature with non-normal approximating functions

We consider an efficient Bayesian approach to estimating integration-based posterior summaries from a separate Bayesian application. In Bayesian quadrature we model an intractable posterior density function f(·) as a Gaussian process, using an approximating function g(·), and find a posterior distribution for the integral of f(·), conditional on a few evaluations of f (·) at selected design points. Bayesian quadrature using normal g (·) is called Bayes-Hermite quadrature. We extend this theory by allowing g(·) to be chosen from two wider classes of functions. One is a family of skew densities and the other is the family of finite mixtures of normal densities. For the family of skew densities we describe an iterative updating procedure to select the most suitable approximation and apply the method to two simulated posterior density functions.     

解除方程组中四个变量为一组线性约束条件的数学处理方法

应用有限元方法求解流体力学或其他工程枝术问题,通常所得线性代数方程组的系数矩阵具有对称性。当方程组中有任意4个待定变量具有线性约束时,则可使用本文提供的数学处理方法,使原先n阶对称的系数矩阵在解除上述形式的约束条件后,方程组的阶次不变,而且系数矩阵仍具有对称性质。并且以此编制了计算机程序。     

Maximizing Probability Bounds Under Moment-Matching Restrictions

The problem of characterizing a distribution by its moments dates to work by Chebyshev in the mid-nineteenth century. There are clear (and close) connections with characteristic functions, moment spaces, quadrature, and other very classical mathematical pursuits. Lindsay and Basak posed the specific question of how far from normality could a distribution be if it matches k normal moments. They provided a bound on the maximal difference in cdfs, and implied that these bounds were attained. It will be shown here that in fact the bound is not attained if the number of even moments matched is odd. An explicit solution is developed as a symmetric distribution with a finite number of mass points when the number of even moments matched is even, and this bound for the even case is shown to hold as an explicit limit for the subsequent odd case. As Lindsay noted, the discrepancies can be sizable even for a moderate number of matched moments. Some comments on implications are proffered.     

软件无线电中正交数字变频的DSP实现

介绍了软件无线电的概念及DSP基本原理,利用DSP实现软件无线电中的正交数字变频技术,给出了中频下变频的数字化实现的主程序.     

IMPROVING THE NUMERICAL TECHNIQUE FOR COMPUTING THE ACCUMULATED DISTRIBUTION OF A QUADRATIC FORM IN NORMAL VARIABLES

This paper is concerned with the technique of numerically evaluating the cumulative distribution function of a quadratic form in normal variables. The efficiency of two new truncation bounds and all existing truncation bounds are investigated. We also find that the suggestion in the literature for further splitting truncation errors might reduce computational efficiency, and the optimum splitting rate could be different in different situations. A practical solution is provided. The paper also discusses a modified secant algorithm for finding the critical value of the distribution at any given significance level.     

移动最小二乘微分求积法解Helmholtz方程

用一种新型的数值方法--移动最小二乘微分求积法（MLSDQ）求解二维Helmholtz方程。MLSDQ方法是一种直接将微分方程离散的方法，它是将未知函数的各阶偏导数在离散点处的值用域内各配点的函数值加权组合来表示，权系数则直接用移动最小二乘Galerkin法中的形函数求导得到，通过MLSDQ技术将Helmholtz方程和相应的边界条件转化成为一组关于各配点位势的线性代数方程组，求解这组代数方程，便可得到各配点的位势，通过求解几个具有精确解的算例，讨论了方法的收敛性和数值精度，结果表明：该方法较适合于求解小波数的Helmholtz方程,对高波数的方程，需要设置大量的域内配点才能有较好的数值结果。     

示范性数控技术专业建设探索与实践

总结了过去几年来数控技术专业的办学经验和办学成果,找到存在的不足,并对今后的专业建设和教学改革提出了工作设想和未来展望。     

Computing asymptotic p-values for EDF tests

In this paper the problem of computingp-values for the asymptotic distribution of certain goodness-of-fit test statistics based on the empirical distribution is approached via quadrature. Through examples it is shown that this approach can lead to considerable time savings over the standard practice of discretizing the underlying eigenvalue problem.     

异种材料相接触热传导的变分原理和有限元计算

本文应用限制变分的思想,就两种不同材料相接触处的热传导问题,构造了一个新的温度泛函,并且证明了这个泛函的变分等价于相应的微分方程和边界条件,从而使应用有限元方法求解具有交界面的热传导问题更为科学和合理。