随机矩阵

基于DCT与双随机矩阵的图像数字水印方案

Image Watermarking Based on Discrete Cosine Transformation and Doubly Stochastic Matrix

推论：给定一个n×n双随机矩阵D，它的所有元素是非负整数，并且每一行和与列和都正实数K，则D能分解成置换矩阵的线性组合。

Corollary : Given an × n doubly stochastic matrix D. D can be decomposed into a linear combination of permutation matrices . When all of its elements are nonnegative real numbers for which the sum of the rows and / or columns is some positive real number K.

用于特定流匹配的随机矩阵映射Hash算法研究

Research on stochastic matrix mapping Hash for specific flow matching

实随机矩阵的Jordan标准型

The Jordan canonical form of a real random matrix

随机矩阵函数Kronecker积的谱半径的不等式

Inequalities of the Spectral Radius of Kronecker Products for Random Matrix Functions

利用秩统计量和随机矩阵的理论分析了单天线和多天线下的多用户分集增益的性能.结论是多输入多输出（MIMO）系统下的多用户分集随天线数的增加而减少。

The performance of multi-user diversity gain ( MDG ) multiple input-multiple output ( MIMO ) fading channels is studied by the theory of the order statistics and random matrices .

有色噪声下基于Wishart随机矩阵的贝叶斯时变信道估计

Wishart random matrix based Bayesian estimation for time-varying channel in the color noise

本文利用随机矩阵证明了向量Kronecker积的一些控制不等式，并用其得到关于矩阵Kronecker积的特征值、奇异值的一些控制不等式。

In this paper , some majorization inequalities of vector kronecker products are established by stochastic matrix , which are used to obtain other majorization inequalities about eigenvalue and singular of matrix kronecker products .

第二，利用一般的双随机矩阵（GBM）和离散quasi-copula的关系，从矩阵的角度，研究了离散quasi-copula的延拓问题。

Secondly , according to the relationship between GBM and discrete copula , the extension of discrete quasi-copula is studied from the standpoint of matrix .

通过分析Nyquist符号率与Shannon容量的关系，并利用大维随机矩阵理论，从理论上证明了基于框架的广义多载波传输系统可以渐近地取得带限AWGN信道的Shannon容量。

By analyzing the relationship between the Shannon capacity and Nyquist rate and exploiting the large dimensional random matrix theory , it is demonstrated that the digital transmission system based on frames can achieve the Shannon capacity of band-limited AWGN channel asymptotically .

利用随机矩阵理论（RMT）方法除去肺癌基因表达数据中的噪声，并将去噪后的数据分别用模块方法和等级聚类方法进行处理。

We used random matrix theory ( RMT ) to remove the noises in lung cancer gene expression data and used the modules approach and the hierarchical clustering approach to construct the gene networks .

利用推广的BCS场理论，考虑随机矩阵理论的能级统计，得到了适合奇偶两种电子数的金属小粒子能隙和超导转变温度的统一公式。

Based on generalized BCS theory , considering energy level statistics from Random Matrices Theory , we have derived the unified formulas of energy gap and superconductor critical temperature suitable for ultra-small metallic grains with both odd and even number of electrons .

一个经典混沌系统的量子能谱统计分布满足由随机矩阵理论所导出的Winger分布，而可积系统满足无规能谱的统计分布即泊松分布。

It is has been known that the energy spectra statistic of a chaotic system agrees with Wigner distribution which is achieved from Random Matrix Theory and the one of a integrable system is Poisson distribution achieved originally from the irregular spectra .

用随机矩阵理论研究常规超导纳米粒子的电子热容

Random Matrices Theory Applied to Specific Heat of Conventional Superconducting Nano-particles

用随机矩阵理论计算常规超导金属纳米粒子的磁化率

Study on Spin Susceptibility of Superconducting Nano-Particles with Random Matrices Theory

随机矩阵的平均极限矩阵的几个定理

Several Theorems about Limit in Mean Matrix of Random Matrix

椭球等高分布族下随机矩阵商的特征根分布

Distributions of Latent Roots of Matrix & ratio for Elliptically Contoured Distributions

用随机矩阵理论研究金属纳米粒子的超导电性

Research into superconductivity of metal nano-particle by using random matrix

正态随机矩阵多项式的均值与协差阵

The Mean and Covariance Matrix of Normal Random Matrix Polynomial

随机矩阵理论在肺癌基因网络识别中的应用

Application of Random Matrix Theory to Identification of Lung Cancer Gene Networks

一种基于随机矩阵的双因子身份验证方法

The Methods of Double Factor Identity Authentication Base on a Random Matrix

控制不等式与随机矩阵模糊算子的优化选取

Majorization and stochastic matrix Majorization and choosing of fuzzy counter

双随机矩阵收敛指数的最好上界

The Exact Upper Bounds for Index of Convergence of Doubly Stochastic Matrices

基于随机矩阵理论的层次聚类方法在基因网络研究中的应用

Application of Random Matrix Theory-based Hierarchical Clustering Method on Gene Co-expression Networks

正态随机矩阵的相关矩阵估计

The Correlation Matrix Estimator of the Normally Distributed Random Matrix

广义随机矩阵代数的一个结构定理

A structure theorem of the Generalized stochastic matrices algebra

随机矩阵的主行列分析法

The essential column and row analysis of random matrix

有向图及不定方程与随机矩阵族的遍历性问题

Directed Graph , Indefinite Equation and the Ergodic Problem of Random Matrix Family

应用随机矩阵理论研究了金属纳米粒子的超导电性，特别是其临界超导半径。

Superconductivity in nano-particles , especially the critical radius , is studied in detail .

最后根据随机矩阵理论，推导了非渐进条件下该算法性能参数的数学表达式。

According to random matrix theory , the performance parameters are derived using non-asymptotic method .