查询词典 orthonormal basis

In this note, we prove that if {Φk|k∈Z} is tight frame with bound 1 in V, then {Φ|k∈Z} must be an orthonormal basis of V.

在这篇短文中，我们证明：如果{Φ｜k ∈Z}是V的界为 1的紧框架，那么{Φ｜k∈Z}一定是V的一个标准正交

In this thesis,the main problem investigated is the relationship between Hilbert spaceH which {ei}ni=1 let be an orthonormal basis and the kernel by making use of the properties of the kernel of H.

笔者主要研究了以{ei}in=1为正交基的再生核Hilbert空间H中的核函数的一些性质，并通过这些性质简要的描述了Hilbert空间H与它的核函数之间的关系。

Based on the fact that the h〓 and h〓 of a 2-band PR-QMF and their evenshifted versions make an orthonormal basis in L〓, a class of N×N matrices were constructed.

利用两子带PR-QMF的h〓和h〓及其偶数平移构成L〓上的基函数这一事实，构造了一类N×N的正交矩阵。

Finite dimensional euclidean spaces Scalar products, norms, orthonormal basis and orthonormalization.

有限维欧几里德空间标量的产品，规范，标准正交基和正交化。

This method prefilters input data by the orthonormal basis functions in order to get some dynamic characteristics. Unfortunately, the gradient algorithm could not be directly used in parameter identification because the prefiltered data do not have time shift characteristic anymore.

该方法通过正交基函数对输入数据进行滤波，使得滤波后的数据蕴涵着系统的部分动态特性，但也使滤波后的数据不再满足时移特性，因而无法直接使用梯度算法对模型参数进行辨识。

To solve the problem of analysis and computation during using a finite impulse response model with high orders, orthonormal basis functions are constructed by utilizing partial system information and then introduced into traditional FIR modeling. A generalized FIR modeling method is proposed.

为了解决高阶脉冲响应模型带来的分析和计算上的困难，利用系统的部分已知信息构造正交基函数，并将其引入到传统脉冲响应建模中，提出了一种广义脉冲响应模型辨识方法。

This method pre filters input data by the orthonormal basis functions in order to get some dynamic characteristics. Unfortunately, the gradient algorithm could not be directly used in parameter identification because the pre-filtered data do not have time shift characteristic anymore.

该方法通过正交基函数对输入数据进行滤波，使得滤波后的数据蕴涵着系统的部分动态特性，但也使滤波后的数据不再满足时移特性，因而无法直接使用梯度算法对模型参数进行辫识。

Introduced the linear uncertainty propagator and derived how one finds the directions at initial time that evolve into the directions of the principal axes of the final time ellipse, and proved that the initial time directions form an orthonormal basis.

介绍线性不确定传播子，推导其如何得到起始时刻的方向，并且这个方向会演变成最终时刻椭圆的主要轴的方向。证明起始时刻的方向构成了标准正交基底。

This method decomposes wave-front phase to a linear combination of orthonormal basis functions, According to the covariance of weight coefficient, a random wave-front phase is realized.

协方差冲激函数产生法对连续波前相位进行冲激函数正交分解，根据正交分解系数的协方差模拟平行光通过大气后的瞬时波前相位。

A vector signal space is defined by defining the two-dimensional (2D) orthonormal basis functions, and three critical measurements of performance, namely, probability of error, efficiency of spatial spectra and power efficiency are also defined as metrics for comparing candidate modulation schemes.

通过定义于二维空间的正交基函数建立了矢量信号空间，并定义了三个衡量空间信号设计方案性能的指标，即误符号率，频带利用效率和功率效率等。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。