酉空间

四元数矩阵的广义Schmidt分解与广酉空间中向量组的广义标准正交化

Generalized Schmidt Decomposition of Quaternion Matrix and the Generalized Orthonormalization of a Set of Vectors in a Generalized Unitary Space

酉空间的广义正交基

The Generalized Orthogonal Basis of Unitary Space

本文提出了两种估计器，基于酉空间的MUSIC和求根MUSIC算法。

Two types of CFO estimator are proposed in this paper , unitary MUSIC and unitary root-MUSIC estimators .

和传统的基于复数特征分解方法的MUSIC算法相比，我们采用实数协方差计算，所提出的酉空间的MUSIC和求根MUSIC算法具有更低的复杂度，但是具有相比拟的性能。

Due to the use of real value covariance matrix , the proposed algorithms have lower computational complexity when compared with the conventional complex value covariance matrix based MUSIC algorithm .

在四元数体上修正了关于矩阵迹的Bellman不等式，并利用广义酉空间的理论，证明了几个四元数阵矩阵之迹的不等式。

Bellman inequality about the trace of matrices is corrected over the quaternion field , and several inequalities on the traces of quaternion matrices are proved by using the theory of generalized Unitary spaces .

酉空间中三种线性变换之间的关系

Relation of Three Types of Liner Transform in Unitary Vector Space

利用有限仿射酉空间中的点构作多个结合类的结合方案

Constructing Association Scheme with Points in Affine-Unitary Space

酉空间中两种重要的线性变换；

Unitary transform and Hermite transform are two types important liner transform in unitary vector space .

酉空间中的线性变换

Linear Transformation in Unitary Space

酉空间的正规变换

Normal Transformation in Unitary Space

本文给出酉空间中反对变换的两个性质。

In this paper the author gives two properties of the skew transformation in the U & space .

有限域上奇异辛空间、奇异酉空间和奇异正交空间（特征≠2）中子空间的对偶子空间的类型被确定。

Types of dual subspaces are determined in singular symplectic , unitary , and orthogonal spaces over finite fields .

在此基础上，得到了酉空间中两个生成子空间互为正交补空间的充要条件及其若干推论。

Besides , the author gives the necessary and sufficient conditions for the two generating subspaces to be orthogonal complement spaces in a unitary space and certain corollaries .

本文利用酉空间中一些基本定义和定理，得出与欧氏空间中对称矩阵相平行的厄尔密特矩阵的几个结论。

Using some fundamental definition and theorem of unitary space , this paper comes to several conclusions of Hermitian matrix which is parallel to symmetric matrix of Euclidean space .

利用内积关系给出了酉空间的变换是线性变换的一系列充分条件，并导出了酉变换、厄米特变换和反厄米特变换的一系列充要条件。

The relation of inner product is used to make transformation in unitary space sufficient conditions for linear transformation and to induce a series of necessary conditions for unitary transformation , Hermite transformation and anti Hermitian transformation .

在酉空间中利用内积给出了广义正交基的概念，研究它与广义酉变换、酉矩阵之间的关系，获得了一些新的结果，推广了酉空间的规范正交基、酉变换等结果。

By using inner product of unitary space concept of generalized orthogonal basis is given , and the relations of generalized orthogonal basis , generalized unitary transformation and unitary matrix is studied . Some new results have been obtained .

在第三章中，本文介绍了几类特殊的酉群和双曲空间上酉群U（2n）（R，A）的基本子群的正规性定理。

In Chapter ⅲ, we introduce some special case of Unitary groups , and give out the normality of the elementary group of hyperbolic Unitary group .

有限酉群作用下子空间轨道按和生成的格空间相关信道下酉空时系统的最大似然多符号差分检测算法

Lattices Generated by Joins of Elements in Orbits of Subspaces under Finite Unitary Groups Maximum-Likelihood Multiple Symbol Differential Detection for Unitary Space-Time Modulation in Spatial Correlated Channels