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The method of the singular value decomposition of matrixes reflects the inwardness and essence character of the images, so it has wide application in the image processing.

由于矩阵的SVD分解方法反映了图像的内在属性和本质特征,在图像处理中得到了广泛应用。

The complete diagonalized Hamiltonian matrixes of order 120 of 3d~3/3d~7 ions configuration in the trigonal symmetry have been established by irreducible representation method and group theory,taking spin-orbit interaction,spin-spin interaction and spin-other-orbit interaction into account.

应用不可约张量方法和群的理论构造了三角对称晶场中考虑自旋-轨道相互作用,自旋-自旋相互作用和自旋-其它轨道相互作用的3d3/3d7态离子的可完全对角化的120阶微扰哈密顿矩阵。

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象,主要讨论了以下问题:推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时,分布源阵列接收信号协方差阵的严格模型和简化模型,得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律:随着阵元数的增加,对所有角度分布函数的有效信号子空间维数也随着增加,且非对称分布函数的有效信号子空间充满整个空间的可能性更大;随着分布源中心角逐步增加,有效信号子空间维数逐步减小,当θ=π/2时,等价于点源情形;随着分布源分布角逐渐加大,有效信号子空间维数也随之增加,直到有效信号子空间充满整个空间;随着信噪比的增加,有效信号子空间维数有一定程度的减少。

In order to improve calibration precision,projection matrixes of camera were obtained by optimization based on Householder orthogonalization transformation which has character of not changing the length of transformed vector.

根据豪斯赫尔德正交变换具有不改变被变换向量长度的特性,采用优化的方法来求得法方程的解析解,得到摄像机的投影矩阵,以提高标定精度。

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性,利用矩阵的Schur补性质,将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换,得到分块上三角或下三角矩阵,使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

Averaging over the main diagonal and sub-diagonals elements of the matrixes, two averaged vectors containing phase information and amplitude information could be obtained.

对矩阵的各主次对角线元素均进行平滑,可得到包含相位信息和幅度信息的平滑向量。

A method is introduced herein. Based on the basic relation matrix, a series of joined matrixes can be worked out automatically, and the drawing and labeling can be accomplished. The work efficiency can be improved markedly with the presented method.

文章介绍了由管网的基本数据自动绘制管网图和由管网的一个基本关系矩阵经过转换,派生成相应的一系列衔接矩阵的方法,并由此完成管网图的绘制和标注工作,该方法可大幅度地提高工作效率,改善了出图的质量。

The first is the full information maximum likelihood method with linear constraint of coefficient matrixes in structure equation.

1结构方程系数矩阵线性约束下的完全信息极大似然估计法。

This invention relates to MIMO test method in a multi-user MIMO radio communication system including: estimating the channel matrixes of all users at the base station, computing an orthogonal projecting matrix M of the interference matrix of each user and transmitting M to each user periodically, receiving data sent by the base station at the user end and getting the orthogonal projecting matrix M from the received data, transforming the MIMO test of a desired user to the minimum value of a K-element secondary convex function, in which, K expresses the number of sending antennas and getting estimation of the test data by a ball test method.

一种多用户多输入多输出无线通信系统中的MIMO检测方法,包括步骤:在基站估计所有用户的信道矩阵;计算每个用户的干扰用户矩阵的正交投影矩阵M,并将每个用户的正交投影矩阵M定期发送给每个用户;在用户端接收基站发送的数据,并从接收的数据中得到正交投影矩阵M;利用正交投影矩阵M将期望用户的MIMO检测转化为K元二次凸函数的极小值,其中K表示对期望用户而言,发送天线的个数;利用球检测的方法,得到检测数据的估计。

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Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜,使中国顾客比任何国家的人消费得更多。

A heavy dark cloud presaging rain or a storm .

预兆雨或暴风雨的沉重的黑云。