谱表示

二维平稳序列的正则奇异条件及WOLD分解的谱表示

The conditions of regularity and singularity and spectral representation of wold 's decomposition for bivariate Stationary Sequences

主要工作包括以下方面：（1）研究了用POD型谱表示法来精确的模拟高层建筑风场。

Consequently , study on the following aspects will be included in this dissertation . ( 1 ) Concerning how to simulate stochastic wind velocity fields more accurate by using the POD-based spectral representation method .

基于二阶Stokes波理论的随机波浪力谱表示法研究

Study on Representation of Random Wave Force Spectrum Using Second Order Stokes Wave Theory

使用量子场论中的Schrodinger波函数描述2-费密子系统。导出了时间相关Green函数及其谱表示。

Using Schrodinger wave function in quantum field theory , the time-dependent Green func-tion and its spectral representation for 2-fermion system are derived , and the Schrodinger equa-tion as well as the normalization condition of his wave function are deduced .

给出了POD型谱表示法模拟具有桥塔风效应风场的简化算法。（2）对两类谱表示法在理论上和数值上进行了精细化的误差分析。

Furthermore , the POD-based method can be employed to simulate the wind fields including wind passage effects . ( 2 ) Concerning the detailed error assessment of the two types of spectral representation methods , both analytical and numerical .

定义了随机向量过程的特征正交分解，推导了特征正交分解型谱表示法的模拟表达式，该算法可用FFT加速。

Proper orthogonal decomposition ( POD ) of random multivariate processes was defined firstly . Then , a series of practical expression of the spectral representation method on the basis of POD was given , which can be accelerated by FFT .

由平稳随机过程谱表示定理导出了平稳随机过程蒙特卡罗模拟的一个快速Hartley变换方法。

Based on the spectral representation theorem of stationary stochastic processes , in this paper , a method is propesed for Monte Carlo simulation of stationary stochastic processes by the fast Hartley transform .

该方程组的线性部分是一具有体积源（其下简称为体源）的Sturm-Liouville本征值问题，而它的非线性部分是由体源与线性波场相互作用的谱表示。

Linear part of this spectrum equation is a Sturm-Liouville eigenvalue problem with a body-source . And its nonlinear part is a spectra equation denoted by interactions between the linear wave fields and the body-source .

无穷维线性系统参数最佳估计的谱表示

The spectral representations for parametric estimation of infinite dimensional linear systems

谱表示法模拟风场的误差分析

Error assessment for wind fields generated by the original spectral representation method

信号的功率谱表示了信号能量的分布。

Signal power distribution is expressed by PSD .

关于平板光波导的算符谱表示

Spectra Expressions for Operators of Slab Optical Waveguides

全张量重力梯度数据的谱表示方法

Spectral Representation of the Full Gravity Tensor

正常算子的有序谱表示

The Ordered Spectral Representation of Normal Operators

本文给出了P&值逻辑函数的非线性度和相关度的谱表示。

A Spectral Representation of Nonlinearity and Correlativity on P & Value Logical functions is presented in this paper .

而正规的紧算子具有一些更好的性质，如正规紧算子具有离散的谱表示，正规紧算子的函数演算等。

And compact normal operators have some more excellent properties , such as its spectral representation , functional calculus and so on .

对非傍轴光束的研究方法作了总结，使用角谱表示法和瑞利衍射积分公式对非傍轴矢量高斯光束的传输作了分析和比较。

By using the angular spectrum representation method and Rayleigh diffraction integrals , the propagation of nonparaxial vectorial Gaussian beams was analyzed and compared .

也就是如果引入绝对禁闭的概念，必须放弃谱表示理论的一部分基本假定。

That is if the concept of absolute confinement is introduced , we must discard a part of elementary hypothesis of spectral representation theory .

研究了随机结构的静力、自由振动以及稳定问题的递推求解方法，显式地给出了基于随机场谱表示的有限元求解的近似表达。

This research presents a new stochastic element method to solve buckling eigenvalue problems for random variables of random structures under several probability distributions .

将特征正交分解型谱表示法运用于模拟具有桥塔风效应的桥梁风场中。

The proper orthogonal decomposition ( POD ) - based spectral representation method is used to digitally simulate wind fields around bridges with wind passage effects .

结合模态截断技术，导出了特征正交分解型谱表示法的随机模拟公式。

By combining with the modal truncation technique , the simulation formulas for proper orthogonal decomposition ( POD ) based on the spectral representation method were derived .

在滤波器选择算法之前，结合每个图像分块和滤波器的独立谱表示和直方图，可以获得更加低层的局部特征。

Independent spectral representations and histograms for each image patch and each filter are combined to yield only very low-level local feature before the algorithm of filter selection .

（ⅱ）在谱表示理论基础上不能允许绝对禁闭的概念，即使把绝对禁闭作为相对禁闭的极限也是一样。

(ⅱ) Based on the theory of spectral representation the concept of absolute confinement is unallowable , even the absolute confinement is taken as the limit of relative confinement .

应用有效媒质近似，结合自洽平均场理论和谱表示方法，研究了金属电介质颗粒复合介质的光学双稳行为与温度的关系。

Based on effective medium approximation , self-consistent mean field approximation and the spectral representation method were adopted to investigate the temperature dependence of optical bistability of metal / dielectric granular composite .

本文给出了线性波场波要素的谱表示和运动物体生成内波的非线性谱方程可解性的讨论。

At the same time , the spectrum expressions of the wave properties for the linear wave field are given and the solvability of the spectrum equations of the internal waves excited by the body-sources is also discussed .

文章在标量衍射理论角谱表示的基础上，以平面波圆孔衍射为例，给出了衍射场的级数解，分析了级数解的有效性；

In this paper , on the basis of the scalar diffraction theory of the angular spectrum representation and by taking the circular aperture diffraction as an example , power-series expansion corrections to the paraxial approximation are derived .

这种方法的主要优点是具有位移不变性、高数据压缩率、容易用硬件实时实现以及可以由物体形态谱表示精确地重构原始图像等。

This approach represents complex shapes by its image spectrum components . The principal advantages of this approach are shift-invariant , high data compression rate , easy real-time implementation , using for invoking the shape filtering and shape measuring etc.

采用静态逼近方法，求出非同步模拟脉冲间隔调制信号简单而物理概念明确的谱表示，并由实验结果确认。

An expression of spectrum for asynchronous analog pulse interval modulation signal using a static approachable method is given in this paper . The result is simple , and the physical concept is clear . It has been confirmed by an experiment simultaneously .

为了保证分类的可靠性，选择高斯径向基函数（RBF）进行谱直方图表示，采用支持向量机（SVMs）作为分类函数。

To improve classification reliability , a Gaussian Radial Basis Function ( RBF ) is chosen on the Spectral Histogram Representation and the Support Vector Machines ( SVMs ) is used as classifying function .

在纹理分类中采用谱直方图表示（SHR），每个图像窗表示一个包含滤波后图像直方图的特征向量，而直方图是图像谱表示的连接桥梁。

When applying Spectral Histogram Representation ( SHR ) for texture classification , each image window is represented as a feature vector consisting of histograms of filtered images , and the histograms are concatenated to form the spectral representation for the image .