基于进化搜索策略的并行子空间设计算法

并行子空间设计是一种有效的多学科设计优化算法,但其搜索策略存在两点不足:一是寻找全局最优解能力有限,二是计算复杂。为弥补上述不足,将遗传算法应用到CSD算法中,提出了一种基于进化搜索策略的CSD算法。介绍了该算法的设计流程,应用该算法对一测试问题进行了优化,取得了满意结果。     

航天测控通信系统可靠性分析的Krylov子空间投影算法

基于Markov模型对航天测控通信系统进行可靠性分析的过程中,若系统中测控通信设备数量较多,模型中的状态空间随设备数量呈指数增长,将会导致数值计算困难.提出了一种基于Krylov子空间技术的可靠性分析方法,将大规模问题投影至小规模子空间中,求得问题的近似解.实验结果证明,Krylov子空间方法的计算速度及精度优于Ross方法和前向Euler法(forward Euler method,FEM).     

子空间投影后波束形成的导航接收机抗干扰性能分析

利用导航信号淹没于干扰信号和热噪声的特点,将天线阵列接收的空时信号矢量向干扰子空间的正交子空间投影以实现干扰抑制。当接收机对投影后的单阵元数据捕获成功后,利用捕获估计的本地扩频码相位作为参考信号,依据最小均方误差准则进行波束形成。仿真结果表明该抗干扰算法在零陷强干扰的同时使主波束指向导航信号来波方向,有效提高了阵列输出信干噪比,并降低了空时自适应处理对导航信号伪码相关峰形状和载波跟踪性能的影响。     

关于D—N.S.算子类的注记

本文在文献的基础上对 D—N.S.算子类作了进一步探讨,得到了一些新的结果,它们对 Hilbert 空间上有界线性算子的不变子空间研究有所启示和帮助。     

基于子空间投影波束形成技术的导航接收机抗干扰算法研究

阵列天线空时自适应处理通过联合空域和时域的自适应滤波处理技术能够有效提高导航接收机的窄带和宽带干扰抑制性能。利用导航信号淹没在干扰信号和热噪声的特点，本文提出先将天线阵列接收的空时信号矢量向干扰子空间的正交子空间投影以实现干扰抑制，当接收机对投影后的参考阵元数据捕获成功后，利用捕获估计的本地扩频码相位作为参考信号依据最小均方误差准则进行波束形成。仿真结果表明该抗干扰算法在零陷强干扰的同时使主波束指向导航信号来波方向，有效提高了阵列输出信干噪比，并降低了空时自适应处理对导航信号伪码相关峰形状和载波跟踪性能的影响。     

一种高阶累积量的模态参数辨识方法改进及其应用

高阶累积量的模态参数辨识方法能够消除高斯噪声的影响。但基于传统的高阶累积量降阶方法的子空间模态参数辨识方法具有一定的缺陷。为此,提出2种降阶方法用于高阶累积量的子空间模态参数辨识方法,并对这2种方法进行了比较。利用主切片方法对某变截面轴进行了模态参数识别,获得了与有限元法相一致的计算结果,从而证明了该方法的可靠性。该方法的辨识质量较高,能够用于一般结构的模态参数辨识。     

子空间分解与淘汰优化方法

提出一种新的多学科设计优化方法,即子空间分解与淘汰优化方法.该方法通过子空间的分解和淘汰,提高剩余子空间的近似模型精度,基于子空间近似模型优化获取最优解.首先,基于设计空间近似模型获取最优解,如果近似模型达到满意精度,则终止优化;否则将设计空间分解为多个子空间.然后,各子空间基于近似模型优化,如果子空间没有可能获得优于...     

Adaptive subspace detection based on two-step dimension reduction in the underwater waveguide

In the underwater waveguide, the conventional adaptive subspace detector (ASD), derived by using the generalized likelihood ratio test (GLRT) theory, suffers from a significant degradation in detection per-formance when the samplings of training data are deficient. This paper proposes a dimension-reduced approach to alleviate this problem. The dimension reduction includes two steps: firstly, the full array is divided into several subarrays; secondly, the test data and the training data at each subarray are transformed into the modal domain from the hydrophone domain. Then the modal-domain test data and training data at each subarray are processed to formulate the subarray statistic by using the GLRT theory. The final test statistic of the dimension-reduced ASD (DR-ASD) is obtained by summing all the subarray statistics. After the dimension reduction, the unknown parameters can be estimated more accurately so the DR-ASD achieves a better detection performance than the ASD. In order to achieve the optimal detection performance, the processing gain of the DR-ASD is deduced to choose a proper number of subarrays. Simulation experiments verify the improved detection performance of the DR-ASD compared with the ASD.     

Recursive weighted least squares estimation algorithm based on minimum model error principle

Kalman filter is commonly used in data filtering and parameters estimation of nonlinear system,such as projectile's trajectory estimation and control.While there is a drawback that the prior error covariance matrix and filter parameters are difficult to be determined,which may result in filtering divergence.As to the problem that the accuracy of state estimation for nonlinear ballistic model strongly depends on its mathematical model,we improve the weighted least squares method(WLSM)with minimum model error principle.Invariant embedding method is adopted to solve the cost function including the model error.With the knowledge of measurement data and measurement error covariance matrix,we use gradient descent algorithm to determine the weighting matrix of model error.The uncertainty and linearization error of model are recursively estimated by the proposed method,thus achieving an online filtering estimation of the observations.Simulation results indicate that the proposed recursive esti-mation algorithm is insensitive to initial conditions and of good robustness.     

D-近次正常算子与不变子空间

研究D-近次正常算子类的代数与拓扑结构,在一定条件下证明其不变子空间的存在性．