半参数回归模型中小波估计的随机加权逼近速度

把小波光滑方法和随机加权方法结合在一起，获得了半参数回归模型中参数分量的小波估计的随机加权逼近速度为σ(n^-1/2)。因此，从大样本意义上说，小波光滑方法和随机加权方法对半参数回归模型是可用的。     

实时音频数字水印在军事通信中的应用

电子对抗技术的发展对军事通信提出了很大挑战。数字水印作为信息隐藏的一个重要分支，为隐蔽通信提供了一条思路。本文采用基于提升方案的小波变换，提高了水印检测的运算速度，采用通用DSP（数字信号处理器）能够实现对水印的实时提取。仿真实验的结果证明音频信号中嵌入水印可以满足军事通信中鲁棒性、实时性和隐蔽性的要求。     

高基数快速傅里叶变换的实现

提高实现的并行性和实时性是目前FFT(快速傅里叶变换)研究的一个重点。介绍了在CPLD(复杂可编程逻辑器件)中实现高基数FFT的一种方法。以较低基数的FFT搭建高基数的FFT,大大提高了变换的速度。文中以基16 FFT的实现为例,介绍了以基2实现基16运算的过程,着重描述了运算核的设计以及数据的存储和调用。     

弹塑性流体力学拉氏自适应网格和网格重分守恒重映数值模拟方法

拉氏自适应重分弹塑性流体力学有限元程序实现了网格完全自适应，具有良好、灵活的非结构自适应网格数据结构，实现了滑移界面两边(接触间断)网格动态调整，网格的细分和合并处理灵活，网格重分和网格自适应模块兼容、守恒重映，网格重分中采用多种方法控制新网格的质量，爆轰计算可采用Lee-Tarver的化学反应率模式。初步数值计算结果表明，弹塑性流体力学拉氏自适应重分数值模拟方法合理，计算结果正确，基本反映了流场的物理结构。     

Integrable Bogoliubov Transform and Integrable Model

By defining Bogoliubov transform as a function of parameters,the integrability of the Bogoliubov transform in Parameter space is investigated.It is shown that integrable Bogoliubov transform is closely related to the known integrable model.The relation between the integrable Bogoliubov transform and geometric phase of vacuum induced by the Bogoliubov transform is also discussed.     

MC^2电缆介质结构及阻抗分析

本文将用数学和实验两种方法证实MC～2电缆不仅能保证特性阻抗变化不超出电缆技术规范。而且能保证在设计频率范围内电缆结构反射损耗最小。     

ZN规范理论修正的MK变换

本文导出了格点规范体系修正后的Migdal-Kadanoff递推关系,并对Z₄体系的相图进行了计算.结果表明得出的固定点和相图比用MK近似计算在数值上更接近于Monte Carlo模拟的结果.这说明修正后的递推关系比用MK关系更有意义.     

SUq(2)代数的广义量子相干态表示

本文给出了SU_q(2)代数的广义量子相干态表示,并指出由此可以得到SU_q(2)的一个新的Boson实现,这样的Boson实现是广义的q-Dyson实现,但这类实现是不厄米的,可以引入一个新的变换使之变为厄米的.这种变换后的实现可以称为q-Holstein-Primakoff实现.我们找出了这样的变换矩阵.文中也指出这种方法推广到高阶群似乎不很容易.     

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.     

Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.