Systolic arrays for group explicit methods for solving first order hyperbolic equations

In this paper, systolic techniques for the simulation of the Group Explicitmethod for parabolic equations by systolic array data structures using the Soft Systolic algorithm paradigm have been extended to include hyperbolic equations of first order. In particular, the Group Explicit Complete (GEC) strategy can be used as generic array construction for other simple schemes and for comput ations on large intervals. The easy form of the finite difference approximation to the hyperbolic equation res ults in a simpler and hence faster and more area efficient basic cell.     

Orbit systematics in anisotropic Kepler problem

We revisit the Anisotropic Kepler Problem (AKP), which concerns with trajectories of an electron with anisotropic mass term in a Coulomb field. This is one of the most fundamental fields in Quantum Chaos. Nowadays various quantum systems are challenging us. Classical theories of these may have chaos. Quantum mechanics have developed from integrable cases and may have to be reformulated for such cases. AKP then serves as a suitable testing ground for quantum chaos. We first review a pioneering work by Martin Gutzwiller (J Math Phys (1977) 18:106). We shall show the systematics of the trajectories using ample figures from an extensive numerical analysis. Then we focus on the rolê of hyperbolic singularities and we comment on the approximations in an analytic formulation. This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008     

Design chart for the modified hyperbolic method

The modified hyperbolic method is used in practice to predict the ultimate primary consolidation settlement of compressible ground. This paper presents a new relationship between the average degree of consolidation for combined vertical and horizontal consolidation U_vh and the non-dimensional vertical time factor T_v, with a new parameter, ν_hv, introduced. ν_hv is defined as the ratio of the time factor in the horizontal direction to that in the vertical direction. This relationship is then adopted to calculate the slope of the linear segment of the theoretical hyperbolic plot (T_v/U_vh vs T_v), λ, which is a key factor in the modified hyperbolic observational method presented by Tan (1995). A design chart for λ as a function of ν_hv is proposed. Using this design chart, the determination for λ can be simplified from a procedure involving three parameters to only one, ν_hv. A new procedure for the use of the modified hyperbolic method is proposed. The new procedure is verified using a well-documented case history.     

采用S变换特征选择方法的心律失常分类

针对短时傅里叶变换与小波变换对心电图（Electrocardiogram,ECG）信号特征提取不足以及心律失常识别困难的问题,提出了一种基于S变换特征选择的心律失常分类算法。首先对ECG信号进行S变换,并从幅值和相位两个角度提取ECG信号的时频特征,与形态特征和RR间隔组成原始特征向量。然后将遗传算法与支持向量机（Support vector machine,SVM）结合组成Wrapper式特征选择方法,并在其中融入ReliefF算法,即采用ReliefF算法计算特征权重,并根据特征权重大小来指导遗传算法种群初始化,遗传算法以SVM的分类性能作为适应度函数来搜索特征子集。最后使用"一对多"（One against all,OAA）SVM对MIT-BIH心律失常数据库8种类型心拍进行分类。实验结果表明,该算法达到了较好的分类效果,灵敏度、特异性和准确率分别为96.14%,99.75%和99.81%。     

种改进的广义S变换

 在地震波传播过程中,各种频率成分都要经受地层的吸收衰减,高频较低频而言衰减速度更快,因而导致地震记录主频偏低。目前比较流行的时频分析方法,一般都是在低频段获得较高的频率分辨率,在高频段获得较高的时间分辨率。然而高频成分的变化对地层吸收衰减特性更为敏感,因此时频分析时高频成分应具有更高的频率分辨率。本文提出一种改进的广义S变换新方法,更能满足吸收衰减分析需要,并首次实现了无能量损失的广义S反变换。实际资料应用结果表明,此法能很好地补偿吸收衰减损失的地震波能量和频率,是一种具有较高保真度的时频分析方法。     

堆叠自动编码器与S变换相结合的电缆早期故障识别方法

将深度学习概念应用到电缆早期故障识别中,提出结合S变换与堆叠自动编码器(SAE)的电缆早期故障识别方法。通过对故障相电流进行S变换,将获得的S变换模时频矩阵分为低、中和高频段。求取对应频段的能量熵和奇异熵等特征量,并组成特征向量后,将时频域特征向量作为SAE网络的输入,经过预训练和参数微调,得到最优训练参数。利用构建好的网络从输入数据中挖掘有用信息,从大量扰动中识别电缆早期故障。仿真结果表明,与传统模式识别方法相比,所提方法的精度更高。     

基于梯度的受限空间安全定位方法

现有的无线传感器网络定位技术消耗了大量的计算和处理资源,并且受到了环境因素以及对手攻击等干扰,在受限空间中定位精度较低,无法满足定位需求。为了提高受限空间中的定位精度,提出了一种基于梯度的安全定位算法,算法在双曲线定位模型基础上,引入梯度的概念,降低了算法的计算复杂度,使算法能够适应受限空间的环境要求,实现高效高精度的定位;为了提高算法的安全性,增加了对不一致性测量的选择性剪枝过程,增强了算法对恶意攻击的抵抗能力。最后,以室内走廊为实验环境进行了仿真验证,通过主频计时策略,提高了算法的定位精度。分析结果表明,在室内受限空间中,提出的算法在定位精度、能量消耗和抗干扰能力上优于现有算法。     

基于时频分析的地层吸收系数计算方法

时频分析方法是傅立叶变换及分析的发展,是地震信号处理的重要分析工具,其方法很多、应用广泛。重点介绍基于多种小波基的时频分析方法及S变换与广义S变换方法的时频分析方法,并应用于计算地层吸收系数,其结果优于常规的FFT方法,具有较高的分辨率。     

电能质量的S变换仿真

针对电能质量扰动信号的特征,介绍了一种基于S变换的信号检测与分类的方法.该方法利用S变换模矩阵来检测电能质量扰动信号,并对其进行分类.对影响电能质量的8种扰动信号(电压凹陷、电压隆起、短时中断、电压尖峰、电压缺口、谐波、间谐波和瞬态振荡)进行了仿真.仿真结果表明,该方法可以准确地确定扰动发生时刻和持续时间,能够对电能质量扰动信号进行简单、直观地分类.     

特殊工况下换流变零序差动保护误动机理分析及对策研究

针对高压直流输电工程中换流变压器零序差动保护误动的案例,分析了特高压换流变中性线上电流互感器在长时间单极-大地运行伴随交流系统高阻故障工况下饱和机理。采用基于工程实际参数的特高压直流输电模型进行仿真分析,揭示换流变零序差动保护误动原因。并根据区内、外故障时保护两侧自产零序电流和中性线零序电流极性差异,提出一种基于S变换相位差的换流变零序差动保护闭锁新判据,以解决特殊工况下换流变零序差动保护误动的问题。通过仿真验证该判据的有效性。