正交基

最后得到了N×N空间中由小波分解与重构滤波产生的正交基。

Finally , the orthogonal basis for N × N space generated by the decomposition and reconstruction filters are obtained .

传统小波分析是研究Hilbert函数空间上确定的正交基。

The classical wavelet theory is the study of certain well behaved function orthogonal basis of Hilbert spaces of functions .

基于正交基函数的广义FIR模型辨识方法

Generalized FIR model identification method based on orthonormal basis functions

与Fourier分析方法一样，任意的能量有限函数可以用小波正交基展开。

Like Fourier analysis , any function with finite energy can be expanded on the orthonormal wavelet bases .

基于DCT正交基的相位噪声均衡法

A phase noise equalization method based on DCT orthogonality

正交基在L2，勒让德多项式，三角函数的基础。

Orthonormal basis in L2 , Legendre polynomials , basis of trigonometric functions .

首先，我们在H（Ω）空间（见（5）及（6）式）中找到了一种完备的标准正交基{ei}，然后得到广义解的级数展开式（14）。

At first , we make a complete orthonormal set in space H. (Ω), then the series expansion , ( 14 ) is found .

有理三次圆弧的标准正交基与广义Ball基表示欧氏空间子空间的标准正交基求法改进

Representing rational cubic circular arc by normalized totally positive or generalized Ball methods Improvement on Construction of Orthonormal Basis in Some Subspace of Euclidean Space

基于正交基无单元Galerkin法和非线性规划的安定分析方法

Shakedown analysis by using the element free Galerkin method with orthogonal basis and nonlinear programming

小波变换法继承和发展了窗口Fourier变换时、频局部化的思想，同时又克服了窗口不随频率变化、没有离散正交基的缺点；

Wavelet Transform comes in for the idea of localizing time-spectrum of window Fourier Transform as well as overcoming the disadvantages of window Fourier Transform .

标准正交基与微分Riccati方程的解

The Orthonormal Basis and Differential Riccati Equation

基于正交基函数的薄板弯曲无单元法MLS导函数及其应用

Element-free-method MLS derivatives based on orthogonal basic functions and its application to thin plate bending

框架是一类特殊的Bessel序列，框架是把Hilbert空间中的规范正交基满足的Parseval等式推广到比较一般的序列所满足的双边不等式的结果。

The frame is a special Bessel sequence , which extends the Parseval equality of orthonormal basis in Hilbert space to the two-sided inequality in general sequence .

应用光子晶体光纤（PCF）的本地正交基函数模型，对PCF的模式特征进行了详尽的数值研究，包括模式特性、传输常量、模场分布、模场面积、功率限制特性等。

The mode characteristics of the photonic crystal fiber ( PCF ) are investigated in detail using the orthogonal functions , including the propagation constant , mode-field distribution , effective power confinement factor .

它研究的主要目的之一可以抽象地描述为任何一个可分Hilbert空间都有标准正交基，并且空间中的任何一个元素都可以表示成这些元素的线性和。

One of the purposes of the research of Hilbert space can be described abstractly as that any Hilbert space has standard orthogonal basis , and every element of Hilbert space can be said as linear combination of these family elements .

其次，介绍常用的测量矩阵，在综合分析各测量矩阵构造过程和表现能力优劣的基础上，提出构造基于正交基Kronecker积的测量矩阵。

On the basis of a comprehensive analysis of the pros and cons of each measurement matrix construction process and expressive , the proposed structure is based on orthogonal basis Kronecker product of the measurement matrix .

在用于边缘检测的双正交基构造方面，本文仍然采用离散Canny准则作为最优化限制条件，用提升格式和解方程组两种方法分别得到新的最优双正交小波边缘检测算子。

On the part of construction of biorthogonal wavelet used for edge detection , also using the discrete expression of canny 's criteria as restrictive condition , two biorthogonal wavelet edge detector are derived by lifting scheme and by system of equations , respectively .

针对无单元方法MLS插值函数，采用正交基函数的导函数进行了详细推演，给出适用于薄板弯曲（C1）问题的无单元方法导函数递推计算公式。

The derivatives of the moving least squares ( MLS ) interpolants in Element-free Method and the orthogonal basic functions are deduced in detail . The recurrence formulas of the derivatives , which are applicable to ( C1 ) problems of thin plate bending , are presented .

第三节构造了一类正交基插值尺度函数（简称COSF），并证明它们具有指数衰减性；第四节调查了一般情况下这类COSF的光滑性；

In detail , a class of cardinal orthogonal scaling functions , which are abbreviated as COSF , are constructed in the third section , and are proved that they have the properties of decay ;

基于自适应小波正交基神经网络的参数辨识

Application of Adaptive Wavelet Orthogonal Basis Neural Network for parameter Identification

用初等变换法求规范正交基

The orthonormal basis obtained from a matrix by elementary column transformation

基于非标准正交基的空间电压矢量快速算法

A Fast Algorithm for Space Vector PWM based on Non-orthonormal Basis

建议了一类基于标准正交基的随机过程展开方法。

Convergence of the sum of a kind of stochastic process ;

基于多分辨率学习的正交基小波神经网络设计

Design of orthogonal basis wavelet neural network based on multiresolution learning

基于正交基函数的神经网络色谱曲线自适应在线滤波和压缩

Self-Adaptive Compression and Filter of Chromatographic Curve by Orthogonal Neural Network

准正交基与准正交变换

The almost - orthogonal basis and almost - orthogonal transformation

矩阵函数零空间中的连续正交基及其应用

Continuous Orthonormal Basis in the Null Spaces of Matrix Functions

同时构造该核特征空间的一组正交基。

And an orthonormal basis of the kernel feature space is constructed .

线性代数中扩充基与正交基的方法

The Methods Expanding Base and Orthogonal Base in Linear Algebra

基于函数正交基展开的过程神经网络学习算法

Learning Algorithms of Process Neural Networks Based on Orthogonal Function Basis Expansion