一种基于小波包变换的图像融合方法

本文提出一种基于小波包变换的图像融合方法,采用基于区域的最大值选择准则对系数进行融合。实验结果证明,该方法提高了图像的时频分辨率,尽可能得保留了图像的细节特征,比基于正交小波变换的图像融合方法具有更好的性能。     

Further result in the fast and accurate estimation of single frequency

A new fast and accurate method for estimating the frequency of a complex sinusoid in complex white Gaussian environments is proposed.The new estimator comprises of applications of low-pass filtering,decimation, and frequency estimation by linear prediction.It is computationally efficient yet obtains the Cramer-Rao bound at moderate signal-to-noise ratios.And it is well suited for real time applications requiring precise frequency estimation.Simulation results are included to demonstrate the performance of the proposed method.     

时间序列两个公式的注记

本文导出了线性代数几个定理，并用之证明了时序中两个重要公式。     

有限维内积空间的一些性质

本文首先证明了在有限维内积空间中一定存在正交基,然后给出了关于正交组可扩充成正交基、子空间W存在正交补W以及子空间W的最大正交子空间W~⊥与W相等的充要条件。     

压电晶体最大特征系数切向判定方法

利用特征系数最大的压电晶体切型，可以获得较强的压电效应．给出了一种利用最优化方法确定特征系数最大的压电晶体切向的计算方法．压电晶体各系数矩阵的矩阵元随不同的旋转切割方向而变化，对二次旋转切割，它们是两个旋转角的连续函数．以压电系数为例，给出了二次旋转后各矩阵元的表达式和部分矩阵元随两个旋转角变化的三维曲面．各矩阵元的绝对值均存在一个最大值，有些最大值比原始坐标系中的最大值要大．针对LiNbO3晶体的压电系数矩阵，利用所给出的方法计算了每一矩阵元的最大值和相应的切割方法(2个旋转切角)．     

确定性跳变系统的最优控制问题

在统一的混合系统的模型下，提出了确定性跳变系统的最优控制问题，当系统的控制受约束以及光滑性条件减弱时，用连续系统的方法研究了其最优控制问题，证明了确定性跳变系统在整个演化时间上满足最大值原理，在跳变点上满足相应的跳变条件．     

The flat maximum effect and linear scoring models for prediction

Our paper challenges the conventional wisdom that the flat maximum inflicts the ‘curse of insensitivity’ on the modelling of judgement and decision processes. In particular, we argue that this widely demonstrated failure on the part of conventional statistical methods to differentiate between competing models has a useful role to play in the development of accessible and economical applied systems, since it allows a low cost choice between systems which vary in their cognitive demands on the user and in their ease of development and implementation. To illustrate our thesis, we take two recent applications of linear scoring models used for credit scoring and for the prediction of sudden infant death. The paper discusses the nature and determinants of the flat maximum as well as its role in applied cognition. Other sections mention certain unanswered questions about the development of linear scoring models and briefly describe competing formulations for prediction.     

Forecasting the business cycle without using minimum autocorrelation factors

We introduce a forecasting technique based on multivariate ideas previously applied in remote sensing. The approach has the trivial but nonetheless fundamental purpose of dividing the information inherent in the time series into important and unimportant. Important information is used for forecasting purposes while the unimportant is discarded. Although related to vector autoregression, giving asymptotically the same estimates, there are reasons to believe that the approach gives better precision of parameter estimates for finite samples as well as more precise predictions.     

分布尾等价与极值的矩收敛

设（Ｘｎ，ｎ≥）是公共分布为Ｆ（ｘ）的独立同分布序列（简称ｉｉｄ序列，下同），（Ｘ１，Ｘ２，…Ｘｎ）的第ｋ个（１≤ｋ≤ｎ）最大值为Ｍｎ＾ｋ，（Ｙｎ，ｎ≥）是公共分布为Ｇ（ｘ）的ｉｉｄ序列，（Ｙ１，Ｙ２…Ｙｎ）的第ｋ个（１≤ｋ≤ｎ）最大值为Ｍｎ＾ｋ，在Ｆ（ｘ）与Ｇ（ｘ）尾等价的条件下，讨论了Ｍｎ＾ｋ的ｌ（ｌ∈Ｎ）阶矩与Ｍｎ＾ｋ的ｌ（ｌ∈Ｎ）阶矩之间的收敛关系。得到定理 设Ｆ（ｘ）∈Ｄ（Ｈ），ｌ∈Ｎ（     

关于平面图全染色的一个注记

用Discharging方法证明了最大度Δ=6且不含相交三角形的平面图是8全可染的.限于简单平面图,这一结果是对全染色猜想的进一步支持.