Estimates of the Wigner Distribution in Gaussian Noise Environment

The influence of Gaussian noise to the Wigner distribution is considered.Due to the quadratic nature of the Wigner distribution, the resulting noise exhibits impulse nature even in the case of Gaussian input noise. Estimators of the Wigner distribution which take into account this fact are considered.They can outperform the standard and the robust Wignerdistribution.     

Robust Mean-Squared Error Estimation of Multiple Signals in Linear Systems Affected by Model and Noise Uncertainties

This paper is a continuation of the work in [11] and [2] on the problem of estimating by a linear estimator, N unobservable input vectors, undergoing the same linear transformation, from noise-corrupted observable output vectors. Whereas in the aforementioned papers, only the matrix representing the linear transformation was assumed uncertain, here we are concerned with the case in which the second order statistics of the noise vectors (i.e., their covariance matrices) are also subjected to uncertainty. We seek a robust mean-squared error estimator immuned against both sources of uncertainty. We show that the optimal robust mean-squared error estimator has a special form represented by an elementary block circulant matrix, and moreover when the uncertainty sets are ellipsoidal-like, the problem of finding the optimal estimator matrix can be reduced to solving an explicit semidefinite programming problem, whose size is independent of N. The research was partially supported by BSF grant #2002038     

Bayesian Nonparametric Estimation for Reinforced Markov Renewal Processes

Starting from the definitions and the properties of reinforced renewal processes and reinforced Markov renewal processes, we characterize, via exchangeability and de Finetti’s representation theorem, a prior that consists of a family of Dirichlet distributions on the space of Markov transition matrices and beta-Stacy processes on distribution functions. Then, we show that this family is conjugate and give some estimate results.

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形状编码的二值运动估值及其VLSI结构优化设计

文章提出一种高效的VLSI结构，实现MPEG－4视频编码标准中二值形状的运动估值算法。我们称这种结构为DDBME。其主要由一个基于一维脉动阵列的数据分配器和16＊32bit的搜索区域缓冲器组成。在DDBME中，采用数据位并行处理技术进行块匹配算法中绝对误差和（SAD）的计算。     

污染数据线性回归模型参数估计的两个问题

研究了简单回归模型中响应变量在某一时刻受到另一随机变量序列污染时,模型参数和污染系数的估计方法及其相合性与渐近正态性,并证明了第Ⅰ类污染数据回归模型在假定22σ=l221σ(其中21σ和22σ未知,l2已知)下,其参数的矩估计不存在.     

恒加试验简单线性估计的改进

在恒加试验中加速方程的二个系数ａ与ｂ的估计最为重要。文中给出了参数ａ与ｂ的二种新的简单线性无偏估计（ＢＧＬＵＥ，ＲＧＬＵＥ），这两种无偏估计均比常用的二步估计有较大的改进。基于上述新的线性估计，文中还构造了二种新的线性不变估计（ＢＧＬＩＥ，ＲＧＬＩＥ）。这两种不变估计均优于文献（１）给出的简单线性不变估计。     

一种基于降维处理的二维谱估计算法研究

本文讨论了H．Kimura和Y．Honoki提出的基于降维处理的高分辨率二维谱估计算法，并通过引入自适应定阶和“相关阵”正定性修正方法，对它进行了改进。经模拟分析表明，改进后的算法具有更高的计算效率和良好的性能。     

应用增强二次谱估计直扩信号扩谱周期

在二次谱方法提取直扩信号扩谱周期的基础上 ,提出一种增强直扩信号二次谱的方法。这种方法不利用先验条件 ,在直扩信号二次谱的基础上 ,通过二次谱的局部统计分析 ,克服时域平稳噪声的影响 ,增强信号扩谱周期的特征谱线。实践证明 ,这种方法能在极低信噪比条件下快速准确提取直扩信号的扩谱周期     

小阵列空间谱估计短波测向系统

本文介绍了小阵列空间谱估计短波测向系统的技术实现，给出了若干试验结果。结果表明，该系统不仅能对不相干信号测向，更重要的是能对多径到达的相干信号实现分离和测向。     

方差分析模型中参数的经验Bayes估计及其优良性问题

本文考虑单向分类的方差分析模型，构造了Ｐ′α的线性Ｂａｙｅｓ估计和经验Ｂａｙｅｓ（ＥＢ）估计，此处αａ×１是效应参数向量，Ｐａ×ｋ是常数矩阵．在较一般的条件下，基于均方误差矩阵准则和ＰｉｔｍａｎＣｌｏｓｅｎｅｓｓ准则，我们分别证明了ＥＢ估计优于最小二乘估计