In the beginning , the focus is on the theory of optimum full rank stap . but the computation load and the implementation complexity of full rank stap are too great to be accepted and it is really very difficult to obtain enough samples to estimate the covariance matrix 起初其研究的重点是全空时的最优处理，但是其计算量和实现的复杂度令人们难以接受，并且难以获得估计协方差矩阵所需的足够多的样本数。
An appropriate cost function is constructed which avoids the use of the logarithm likelihood function that is lack of robust to the noise correlation , moreover , our method have many advantages such as , low complexity , suitable for coherence signals , etc 构造适当的代价函数，避免了对数似然函数的使用，该方法对色噪声协方差矩阵特征值分散具有稳健性，同时具有较低的计算复杂度和适用于相关甚至相干源等优点。
The covariance of the training samples which are sampled from the antenna arrays is delivered into svm training machine after transformed suitably , then we use svm regression on the unknown samples according as the trained machine for getting the source location 把阵列天线采集的训练样本的协方差矩阵进行适当变换之后送入svm训练器进行学习，然后根据这个学习机对未知样本进行svm的函数拟合，得到信源方向。
When this csi is in terms of channel covariance feedback , the transmit directions for achieving ergodic capacity correspond with the eigenvectors of the channel covariance matrix , while the optimal power distribution can not be solved in closed form 当发射端具有信道协方差矩阵信息时，使得平均信道容量达到最大的发射方向和信道状态协方差反馈矩阵的特徵矢量相一致，而相应的发射天线上的最优功率分配则难以解析获得。
A real - time estimation of a prior variance - covariance of gps observations is developed for the ( near ) instantaneous ambiguity resolution for short - baselines , which improves the stochastic model of the observations , and then the success rate and the reliability of ambiguity resolution 针对短基线模糊度的快速解算，提出了一种实时估计观测值方差-协方差矩阵的方法，改进了观测值的统计模型。算例显示这种方法能提高模糊度瞬时解算的成功率。
Since a pseudo - covariance matrix of the observed signals supply additional constraints if the sources are assumed to be independent and improper , it can be proved that the second order statistics is sufficient to separate the mixed complex - value signals for both stationary and non - stationary sources 假设源信号是独立的且非常态，信号的伪协方差矩阵能增加约束条件，从而可证明二阶统计量能够完全分离复值混合信号，而且对信号是否平稳不作要求。
There is no consideration of time misfit in traditional optimal interpolation . in this thesis , some researches were done on the methodology of optimal interpolation , in which a new form of the formulae was developed that named dynamic optimal interpolation , the time correlation being introduced 本文首先推导了既考虑空间相关，又考虑时间相关的最优插值算法，由于应用了时间相关的协方差矩阵，就使这个算法具有动态处理时间错位的观测数据的能力。
Two indexes was calculated to estimate the best bands union for color combination , one is optimum index factor ( oif , the sum of standard deviation divided by the sum of correlation coefficient . ) , the other is the determinant of the co - variance matrix . it can be seen from the result that for color combination the original optimal bands were tm 4 , 3 , 7 and tm 4 , 3 , 5 , the best mixed images were mnf1 , br and ndvi 以协方差矩阵行列式值和最佳指数值(组合波段标准差之和除以相关系数之和)为评价标准，得出对于tm原始波段而言，最佳的彩色合成组合是tm4 、 3 、 7和tm4 、 3 、 5 ；综合几种变换图像的彩色合成的最佳组合是mnf1 、 br 、 ndvi 。
Adjusted the input parameters , a set of optimal data and covariance matrices were obtained in the statistical meaning . correlative coefficients of the cross sections were plotted in three dimension pictures with origin program . in this way , the physical meaning of the covariance matrices and the correlation between the cross section data at each energy points are displayed visually 通过调整输入参数，最后得到在统计意义上最佳的推荐值及相应推荐值的协方差矩阵，并用origin程序画出相关系数的三维空间图，形象地显示了协方差矩阵的意义及各个能点之间截面的相关性。
In chapter 3 , we discuss the problem of doa estimation in the presence of spatially nonstationary noise fields . an estimate of the colored noise covariance matrix is firstly given . the received data for parameter estimation is then prewhitened using the estimated noise covariance , hence , overcoming the highly biased estimates . finally , adaptive beamforming with the modified weight is also performed . computer simulations show that the proposed method can completely remedy beam distortion . 3 在第三章讨论了一种在环境噪声为白噪声而阵元噪声为空间非平稳情况下的doa估计问题，给出了一种有效的估计阵元噪声功率的方法，进而利用估计的噪声协方差矩阵进行预处理而实现色噪声环境下的doa估计，理论分析和仿真结果均表明了本章提出的方法的有效性。
