基于稀疏补分析模型的近似最优子空间追踪

为了从含噪声的测量矢量中重构原始信号,研究了稀疏补分析模型下近似最优子空间追踪信号重构算法.针对直接采用稀疏综合模型下子空间追踪过程非最速梯度下降和信号重构概率不高的缺点,根据稀疏补分析模型下不同类型分析字典的结构特点来设计近似目标优化函数;改进了迭代追踪过程;优化了稀疏补取值方法;提出并实现了基于稀疏补分析模型的近似最优分析子空间追踪算法.仿真实验证明,当稀疏补运算符分别采用随机紧支框架和二维全变分矩阵时,算法的完全重构信号概率均明显高于ASP、AHTP、AIHT、AL1、GAP算法的完全重构信号概率;对于含高斯噪声的输入信号,算法的重构信号综合平均PSNR比相应的ASP、AHTP、AIHT算法分别提高了0.8dB、1.38dB、3.13 dB,但比GAP和AL1算法降低了0.32 dB和0.6dB.算法的完全重构概率与综合重构性能有了明显提高,收敛充分条件得到进一步简化.     

多尺度分析生成的多重正交小波的性质

首先讨论了多尺度分析中子空间V0的性质,在此基础上得到多尺度分析生成的多重正交小波的几个等价条件,使得H.O.K im的定理2.6成为其的一种特殊情形.     

用于数字电视的盲均衡技术研究

对目前在接收端采用均衡技术时常用的CMA算法和子空间算法的原理和性能进行了详细的讨论和说明,并给出各自的适用场合.     

Subspace distance analysis with application to adaptive Bayesian algorithm for face recognition

We propose subspace distance measures to analyze the similarity between intrapersonal face subspaces, which characterize the variations between face images of the same individual. We call the conventional intrapersonal subspace average intrapersonal subspace (AIS) because the image differences often come from a large number of persons. An intrapersonal subspace is referred to as specific intrapersonal subspace (SIS) if the image differences are from just one person. We demonstrate that SIS varies significantly from person to person, and most SISs are not similar to AIS. Based on these observations, we introduce the maximum a posteriori (MAP) adaptation to the problem of SIS estimation, and apply it to the Bayesian face recognition algorithm. Experimental results show that the adaptive Bayesian algorithm outperforms the non-adaptive Bayesian algorithm as well as Eigenface and Fisherface methods if a small number of adaptation images are available.     

Application of model‐free LQG subspace predictive control to TCP congestion control

We investigate the application of a model‐free linear quadratic Gaussian (LQG) subspace‐based predictive controller to Internet congestion control. Specifically, we consider a classically designed LQG linear congestion controller with a non‐standard performance index and determine whether a model‐free controller is a viable alternative in this instance. We employ the model‐free subspace predictive controller methodology which we customize for end‐to‐end transmission control protocol (TCP) congestion control. A series of network simulations support the use of the more easily implementable model‐free controller over its classical analogue. We further demonstrate that the model‐free controller provides increased stability under transient network conditions when compared with the first feedback congestion controller, TCP Vegas. Copyright © 2007 John Wiley & Sons, Ltd.     

Numerical experiments of preconditioned Krylov subspace methods solving the dense non-symmetric systems arising from BEM

Discretization of boundary integral equations leads, in general, to fully populated non-symmetric linear systems of equations. An inherent drawback of boundary element method (BEM) is that, the non-symmetric dense linear systems must be solved. For large-scale problems, the direct methods require expensive computational cost and therefore the iterative methods are perhaps more preferable. This paper studies the comparative performances of preconditioned Krylov subspace solvers as bi-conjugate gradient (Bi-CG), generalized minimal residual (GMRES), conjugate gradient squared (CGS), quasi-minimal residual (QMR) and bi-conjugate gradient stabilized (Bi-CGStab) for the solution of dense non-symmetric systems. Several general preconditioners are also considered and assessed. The results of numerical experiments suggest that the preconditioned Krylov subspace methods are effective approaches solving the large-scale dense non-symmetric linear systems arising from BEM.     

改进遗传算法在DOA搜索中的应用

在对短时、低信噪比信号测向时。加权子空间测向算法（WSF）的统计性能优于Music，Esprit等测向算法，且可以对相干信号进行检测。但是因为算法实现涉及到非线性多维搜索。因此运算量很大。本文提出的改进遗传算法，是一种运算速度较快的加权子空间算法的实现算法。该算法将免疫算法引入遗传算法中，并与MVP算法相结合。解决了普通遗传算法（CGA）在DOA搜索中易早熟。后期搜索效率低的问题，拥有快速、全局的搜索能力。计算机仿真证明了该算法的有效性和鲁棒性。     

OFDM系统信道盲估计的一种新算法

利用循环前缀（CP）引入的信息冗余，在利用接受信号的二阶统计特性实现正交频分复用（OFDM）系统信道盲估计的子空间算法基础上，采用矩阵变换的方法，改善信息序列的非周期相关函数，推导出信道估计的新算法。     

高分辨方位估计方法的稳健性研究

基于特征分解理论的子空间类高分辨方位估计方法是目前阵列信号处理领域的研究重点。与波束形成法相比，子空间类法的特点为估计精度高和分辨能力强。但是这类高分辨方法对阵列模型失配十分敏感，存在阵列误差时其估计性能明显下降。文章通过仿真和实验深入研究了MUSIC、Johnson和Mini-Norm等子空间类高分辨方位估计方法的稳健性问题，分析了一定信噪比条件下阵列误差对上述三种方法估计结果的影响程度。研究结果表明，MUSIC法和Johnson法的估计性能相当，而Mini—Norm法的稳健性明显高于MUSIC法和Johnson法，分辨能力和估计精度较好，具有良好的工程应用前景。     

故障检测与定位

综合运用空间几何方法和参数辨识方法,在系统分解的基础上,提出了一种故障检测与定 位的新方法.此方法简化了系统故障诊断所需的计算工作,可以满足一般情况下系统对故障诊 断的实时性要求.