The value of the stochastic solution in stochastic linear programs with fixed recourse

Stochastic linear programs have been rarely used in practical situations largely because of their complexity. In evaluating these problems without finding the exact solution, a common method has been to find bounds on the expected value of perfect information. In this paper, we consider a different method. We present bounds on the value of the stochastic solution, that is, the potential benefit from solving the stochastic program over solving a deterministic program in which expected values have replaced random parameters. These bounds are calculated by solving smaller programs related to the stochastic recourse problem.This paper is an extension of part of the author's dissertation in the Department of Operations Research, Stanford University, Stanford, California. The research was supported at Stanford by the Department of Energy under Contract DE-AC03-76SF00326, PA#DE-AT03-76ER72018, Office of Naval Research under Contract N00014-75-C-0267 and the National Science Foundation under Grants MCS76-81259, MCS-7926009 and ECS-8012974 (formerly ENG77-06761).     

Entropy of generalized Gaussian optical fields

We consider two definitions of entropy: thermodynamic entropy and signal entropy. We compare their value for the class of generalized Gaussian fields. The first definition is well adapted to monomode stationary fields, while the second one is bounded only for multimode fields. We prove that these two notions are definitely different, for example, the real Gaussian field has a maximum signal entropy and a minimum thermodynamic entropy (among the Gaussian fields).     

用于光盘分析的标量衍射理论综述

标量衍射理论是最早用于分析光盘读出光场的理论,它用标量函数描述光场,计算和理解读出过程比较简单。在只读光盘(CD及其兼容类)发展的过程中,它一直扮演着基础理论的角色。综述和比较了1970年以来的一些标量衍射理论,重点讨论了光盘信息符的模型及标量衍射分析方法等。对各种方法的优缺点作了评述,对如何定量描述标量衍射理论在分析高密度光盘方面的局限性问题提出了建议。     

PN结对交流信号相位的影响(续)

当1个交流小信号被1个PN结和1个大电容分压,且该电容的电容值远大于PN结电容时,大电容两端的电压与PN结电容成正比,该信号的相位与PN结的电阻以及信号的频率有关.把PN结当作1个电容和1个电阻并联,可定性解释该信号的相位与PN结正向电阻、与加在PN结两端的直流反向偏压、在零直流偏压下与交流信号频率的关系.     

可变抽样区间的单边控制图

利用质量控制图监督生产过程时 ,通常每隔固定时间从过程抽取固定容量的样本。本文在前文[1] 的基础上设计具有可变抽样区间的单边标准差 (S)图、极差 (R)图和不合格品数 (np)图。计算了这三个图发信号前的平均样本数和平均时间 ,并同固定抽样区间的常规控制图作比较。所设计的控制图能缩短过程失控时间从而减少不合格品数。     

关于光泵磁共振实验中三角波扫场信号的讨论

通过对三角波扫场信号产生的分析，对其在光泵磁共振实验中的作用作了具体的解释。     

Electromagnetic Signal Processing and Noncommutative Tomography

A generic electromagnetic signal described by Maxwell equations both in vacuum and media is considered in the tomographic representation. The Ville–Wigner phase-space representation of the electromagnetic field is also discussed. Relations between different representations of the electromagnetic signal are elucidated. The connection of the Fourier analysis of the electromagnetic signal and other mathematical approaches like the Radon transform of the analytic signal is presented. The distinguishing property of the tomogram to coincide with the probability density of a random variable considered in a reference frame in the signal's phase space is pointed out. The entropy of the signal related to the probability density is studied.     

利用帧积分法去除微光图像噪声研究

在微光成像中，迭加在图像上的时空域噪声，不仅限制了系统可工作的最低照度，而且使显示图像具有随机蠕动颗粒闪烁的外观。图像处理技术能够提高图像质量，增强微光成像系统作用距离。实验证明，帧积分法对光子噪声以及系统内部信息载流子产生与复合所引起的散粒噪声的抑制有十分有效的作用。     

New results on nonexistence of perfect p-ary sequences and almost p-ary sequences

Complex periodical sequences with lower autocorrelation values are used in CDMA communication systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary sequences and related difference sets by using some knowledge on cyclotomic fields and their subfields.     

GPS最优压制式干扰信号研究

针对GPS最优干扰信号评估方法欠缺的问题,提出了利用误码率判断最优干扰信号的方法。建立了卫星导航接收机模型和基于中频信号的误码率模型,研究不同干扰环境下接收机的误码率。通过改变干扰信号功率得到误码率与干信比的关系曲线,比较不同干扰信号同干信比下的误码率,得到最优干扰信号。通过实验验证,相同环境下,伪码相关干扰信号效果最优,为卫星导航信号干扰设备的研发及设计提供了依据。