基于MAP估计的图像超分辨率重建

从一组低分辨率图像中重建一幅高分辨率图像,给出基于MAP估计的近似算法。描述从场景空间到观测图像的线性映射关系,介绍了核心重建算法;算法适合观测条件相似的情况。在贝叶斯方法中,使用Laplace算子作估计图像的领域平滑相关性假设。最后的实验表明了算法在改善空间分辨率上的显著效果。     

一维结构瞬态响应分析的传递函数方法

本文给出了一种求解一维结构瞬态响应问题的解析方法。通过对控制方程及其定解条件进行Ｌａｐｌａｃｅ变换，将问题写成状态空间形式，用传递函数法求得统一形式的解析解。通过Ｌａｐｌａｃｅ逆变换求得结构在时域内的瞬态响应。文中给出了一些一维结构动力响应问题的算例。     

考虑扩散效应圆形隧洞热弹性耦合动力响应研究

利用S-H热弹性扩散的基本理论,研究了无限弹性介质中圆形隧洞表面受随时间变化的热冲击的动力响应问题.采用直接求解方法以避免势函数的引入,利用Laplace变换技术,求解热、力、化学耦合控制方程,获得了弹性介质中温度梯度、位移、应力和化学势的积分形式解.最后,利用Laplace逆变换得到数值结果,分析了热、力、化学耦合条件下弹性介质中温度梯度、应力、位移和化学势响应的分布规律.     

装备使用阶段后续备件采购模型Π:可修复件

针对装备使用阶段可修复件的采购优化问题,引入近似拉普拉斯需求概率分布代替正态分布,建立了采购间隔期内的备件短缺函数。根据供应链系统库存控制论,建立了可修备件的采购模型。通过对可修件周转渠道的分析,对采购短缺指标进行了修订,并给出了最优采购点和采购量的计算方法。对两种需求分布下的算例结果进行了对比和分析,结果表明:该模型得到的结果鲁棒性强、偏差小,优化过程简单,为故障率高、消耗量低的可修件采购方案的确定提供了一种新的思路。     

一阶交流电路暂态分析

以RC串联电路为例,介绍一阶线性电路交流暂态过程的基本分析方法.通过三种不同方法的比较,归纳出对于不同电路应当采取不同处理办法.     

Establishment,simulation and verification of firepower safety control model

On a narrow warship platform, the coordinated use of shipborne weapon systems may cause firepower conflicts, which seriously endangers the ship safety. Meanwhile, with directed-energy weapons mounted on ships, firepower conflicts between weapons become a “high probability event”. Aiming at the problem of firepower safety control, based on the research about the collision probability model of air crafts and space targets and according to the cone of fire model of conventional weapons and directed-energy weapons, this paper solved the firepower conflict probabilities between conventional weapons as well as between conventional weapons and directed-energy weapons respectively using the methods of probability theory, and established the firepower safety control model. Then the calculation of firepower conflict probability was carried out using the dimensionality reduction method based on the equivalent conversion of polar coordinates and the power series method based on Laplace transform. The simulation results revealed that the proposed model and calculation methods are effective and reliable, which can provide theoretical basis and technical support for resolution of firepower conflicts between weapons.     

Minimal LST representations of MAP(n)s: Moment fittings and queueing approximations

A Markovian arrival process of order n, MAP(n), is typically described by two n × n transition rate matrices in terms of rate parameters. While it is straightforward and intuitive, the Markovian representation is redundant since the minimal number of parameters is n² for non‐redundant MAP(n). It is well known that the redundancy complicates exact moment fittings. In this article, we present a minimal and unique Laplace‐Stieltjes transform (LST) representations for MAP(n)s. Even though the LST coefficients vector itself is not a minimal representation, we show that the joint LST of stationary intervals can be represented with the minimum number of parameters. We also propose another minimal representation for MAP(3)s based on coefficients of the characteristic polynomial equations of the two transition rate matrices. An exact moment fitting procedure is presented for MAP(3)s based on two proposed minimal representations. We also discuss how MAP(3)/G/1 departure process can be approximated as a MAP(3). A simple tandem queueing network example is presented to show that the MAP(3) performs better than the MAP(2) in queueing approximations especially under moderate traffic intensities. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 549–561, 2016     

Technical note: An improved range chart for normal and long‐tailed symmetrical distributions

The distribution of the range of a sample, even in the case of a normal distribution, is not symmetric. Shewhart's control chart for range and other approximations for range from skewed distributions and long‐tailed (leptokurtic) symmetrical distributions assume the distribution of range as symmetric and provide 3 sigma control limits. We provide accurate approximations for the R‐chart control limits for the leptokurtic symmetrical distributions, using a range quantile approximation (RQA) method and illustrate the use of the RQA method with a numerical example. As special cases, we provide constants for the R‐chart for the normal, logistic, and Laplace distributions. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

改进Laplace先验下的复数域多任务贝叶斯压缩感知方法

为了将现有的实数域贝叶斯压缩感知方法推广至复数域,利用改进Laplace先验假设,提出了一种复数域多任务贝叶斯压缩感知(complex multitask Bayesian compressive sensing using modified Laplace priors, CMBCS-MLP)方法,消除了测量噪声方差的影响,并推导了一种基于递归操作的快速算法。数值仿真表明：针对复数域稀疏信号重构问题,相比于现有方法,所提CMBCS-MLP方法具有更好的精确性和鲁棒性。     

正则化方法在拉普拉斯数值反演中的应用

本文用正则化方法给出了拉普拉斯变换的数值反演方法,并考虑了问题的不适定性,此方法在实际中有较强的应用价值.