基于联合广义分数相关器的相关峰特性分析

分析了联合广义分数傅里叶变换相关器相关峰的特性,得到通过改变广义分数傅里叶变换的系统参量可以提高广义分数相关峰性能的结论.进行了数值模拟和光学实验,并根据两者的结果对四个相关峰的性能指标相关峰强度最大值、峰能比、识别能力、信噪比进行了比较分析,说明只要适当控制系统参量,联合广义分数傅里叶变换相关器比联合分数傅里叶变换相关器具有更好的相关性能,有助于提高光学相关器识别的准确率.     

一种可识别破碎图形的特殊广义Hough变换方法

提出了一种与现有广义Hough变换(GHT)不同的识别破碎图形的方法.称为特殊广义Hough变换(SGHT)方法.该方法在参数表制作阶段和识别阶段，都与现有GHT方法不同.理论分析和实验的结果表明，采用SGHT方法， 可以解决常规GHT方法难以识别破碎图形的困难，且有很高的配准精度和速度，既可用于破碎图形的识别也可用于非破碎图形的识别，具有普适、快速和准确的特点. 关键词： 特殊广义Hough变换 广义Hough变换 参数表 8邻域     

广义随机KdV方程新的精确类孤子解

利用厄米(Hermite)变换求出了广义随机KdV方程新的类孤子解.这种方法的基本思想是通过厄米变换把Wick类型的广义随机KdV变成广义变系数KdV方程，利用特殊的截断展开方法求出 方程的解，然后通过厄米的逆变换求出方程的随机解. 关键词： 随机KdV方程 随机孤子解 白色噪音 截断展开方法 厄米变换     

心磁信号广义S变换域奇异值分解滤波方法

针对心磁信号工频及背景噪声干扰问题, 提出了广义S变换奇异值分解(singular value decomposition, SVD)滤波方法.在离散S变换基础上, 导出了广义矩阵S变换和逆变换公式. 通过对采样信号进行广义S变换, 调节时频分辨率, 利用SVD分解方法确定有效心磁信 号区域, 实现自适应时频滤波. 实验结果表明, 该方法能有效滤除工频及背景噪声干 扰, 且在较少奇异值个数情况下可获得更好的滤波性能. 关键词： 心磁信号 S变换 奇异值分解 时频滤波     

广义Raitzin正则方程的Hojman守恒定理

利用时间不变的无限小变换下的Lie对称性，研究广义经典力学中Raitzin正则方程的Hojman 守恒定理。建立广义Raitzin正则方程。给出无限小变换下Lie对称性的确定方程。建立系统的Hojman守恒定理，并举例说明结果的应用。     

一类带自相容源的sine-Gordon方程新的显式精确解

文章研究了一类带自相容源的sine-Gordon方程(SGESCSs),利用广义双Darboux变换法,得到了该方程的complexiton解,进一步丰富了这类方程的解. 关键词： sine-Gordon方程 自相容源 广义双Darboux变换 complexiton解     

广义线性量子变换在相空间的新表示

用坐标和动量算子作为基本算子给出广义线性量子变换在相位空间的新表示,具体包括变换关系式、变换算子的幺正条件、变换算子的普通表达形式和正、反正规乘积形式.     

约束系统的变换和推广的Killing方程

本文从约束系统的作用量和约束方程的普遍变换性质出发,得到了约束系统的推广Killing方程组,此方程组的解所生成的变换可产生经典Noether定理的守恒量。讨论了连续系统的时空变换和内禀变换,在变换保持约束方程不变时,指出此变换能导致守恒流的充要条件,给出了对不可压缩连续介质的应用,讨论了对广义力学和经典力学的应用,并给出了推广Killing方程组解的某些实例,将Poincare不变量推广到了受约束广义力学系统。 关键词：     

广义Hamilton系统的共形不变性与Hojman守恒量

研究了广义Hamilton系统在无限小变换下的共形不变性,推导出共形不变性的确定方程,找到在无限小变换下的共形不变性并且是Lie对称性的共形因子,最后导出广义Hamilton系统的运动微分方程共形不变时的Hojman守恒量,并给出应用算例. 关键词： 广义Hamilton系统 共形不变性 Hojman守恒量 确定方程     

相对论的协变场是虚构

基于洛伦兹电子论和洛伦兹磁力,否定法拉第定律和相对论电磁学,暨揭示广义洛伦兹磁力的科学研究之五:相对论的协变场是荒唐。本文基于洛伦兹电子论和洛伦兹磁力,论证表明:协变换出来的磁力线成为直线,它违背客观事实;协变换出来的环形电力线更荒唐;协变换出来的电磁场成为无穷大,广义洛伦兹磁力才是真谛;两电荷对撞时协变换出来的排斥力成为虚数,它违背客观事。     

On the "Causality argument" in bouncing cosmologies

We exhibit a situation in which cosmological perturbations of astrophysical relevance propagating through a bounce are affected in a scale-dependent way. Involving only the evolution of a scalar field in a closed universe described by general relativity, the model is consistent with causality. Such a specific counterexample leads to the conclusion that imposing causality is not sufficient to determine the spectrum of perturbations after a bounce provided it is known before. We discuss consequences of this result for string motivated scenarios.     

"Fast" Linear Prediction and Its Application to NMR Spectroscopy

A general "fast" linear-prediction (FLP) algorithm is presented. It determines P linear-prediction coefficients from M equations in ∼ 9MP + 27/2P² operations by using only ∼ 5(M + P) locations of memory. The procedure does not rely on any assumption about the signal to be analyzed, and within numerical accuracy, it produces the same results as the QR method. It is demonstrated that, with the FLP routine, it is feasible to determine more than 10,000 linear-prediction coefficients.     

Comment on "Corresponding states of periodic structures in nematic liquid crystals"

Palangana, Sim?es, Evangelista, and Arrotéia [Phys. Rev. E 56, 4282 (1997)] (PSEA) propose a general scaling model for periodic wall patterns in the magnetic twist Fréedericksz transition of nematics, performing an elastic energy analysis. We demonstrate that this model is incorrect because it does not consider consistently the hydrodynamic wavelength selection of the observed structures, but is based on the assumption of inappropriate model functions instead. It is shown that experimental data actually contradict the proposed theory. The approach of PSEA is particularly not suited to determine elastic constant ratios of nematic liquid crystals.     

Truncation of power law behavior in "scale-free" network models due to information filtering

We formulate a general model for the growth of scale-free networks under filtering information conditions-that is, when the nodes can process information about only a subset of the existing nodes in the network. We find that the distribution of the number of incoming links to a node follows a universal scaling form, i.e., that it decays as a power law with an exponential truncation controlled not only by the system size but also by a feature not previously considered, the subset of the network "accessible" to the node. We test our model with empirical data for the World Wide Web and find agreement.     

谈谈ICP—AES的使用,维护保养

本文针对等离子光谱仪的特点，概述了仪器基本的全用环境及条件，并对仪器的维护保养提出了具体的方法。     

Comment on "Long time evolution of phase oscillator systems" [Chaos 19, 023117 (2009)

In a recent paper by Ott and Antonsen [Chaos 19, 023117 (2009)], it was shown for the case of Lorentzian distributions of oscillator frequencies that the dynamics of a very general class of large systems of coupled phase oscillators time-asymptotes to a particular simplified form given by Ott and Antonsen [Chaos 18, 037113 (2008)]. This comment extends this previous result to a broad class of oscillator distribution functions.     

Coupling of volume and surface effects in scattering, and the "splitting rule"

Multiple scattering processes in a heterogeneous medium with rough boundaries lead inevitably to coupling of volume and surface effects. Our study of this problem using a statistical wave theory shows the nature of this coupling, brings forth the issues involved, and gives the approximations required to separate volume and surface effects. We hence understand that, only under rather special conditions, these two effects can be decoupled according to the "splitting rule" suggested by Guerin and Sentenac [J. Opt. Soc. Am. A24, 385 (2007)]. One situation where the two effects approximately separate is when the boundary roughness is small. In this case our results are in agreement with [J. Opt. Soc. Am. A24, 385 (2007)] and [Waves Random Media7, 303 (1997)]. Apart from this special situation, we find that volume and boundary effects always get coupled. Therefore, it is apparent that a splitting rule is a special property rather than a general law.     

Radiation-induced "zero-resistance state" and the photon-assisted transport

We demonstrate that the radiation-induced "zero-resistance state" observed in a two-dimensional electron gas is a result of the nontrivial structure of the density of states of the systems and the photon-assisted transport. A toy model of a quantum tunneling junction with oscillatory density of states in leads catches most of the important features of the experiments. We present a generalized Kubo-Greenwood conductivity formula for the photon-assisted transport in a general system and show essentially the same nature of the transport anomaly in a uniform system.     

Reduction method for dimensionally regulatedone-loop <Emphasis Type="Italic">N</Emphasis>-point Feynman integrals

We present a systematic method for reducing an arbitrary one-loop N-point massless Feynman integral with generic 4-dimensional momenta to a set comprised of eight fundamental scalar integrals: six box integrals in D = 6, a triangle integral in D = 4, and a general two-point integral in D space-time dimensions. All the divergences present in the original integral are contained in the general two-point integral and associated coefficients. The problem of vanishing of the kinematic determinants has been solved in an elegant and transparent manner. Being derived with no restrictions regarding the external momenta, the method is completely general and applicable for arbitrary kinematics. In particular, it applies to the integrals in which the set of external momenta contains subsets comprised of two or more collinear momenta, which are unavoidable when calculating one-loop contributions to the hard-scattering amplitude for exclusive hadronic processes at large-momentum transfer in PQCD. The iterative structure makes it easy to implement the formalism in an algebraic computer program.Received: 18 August 2003, Revised: 6 February 2004, Published online: 23 April 2004     

Novel methods for characterizing a decoupler channel using "undetectable" quantum coherences.

Exact solutions for the effect of time-independent RF pulses on any initial configuration of an IS J-coupled system demonstrate that on-resonance CW decoupling yields signals whose frequency depends on RF field strength and homogeneity. These signals are enhanced starting with "undetectable" antiphase and multiple quantum coherences, which can also produce centerband intensity to mimic the signal from decoupled Sx. Conversely, these coherences can be generated from Sx using a low-power pulse, B1 = J/2, of length (2J)-1, dubbed a "90J pulse" since it is the selective equivalent of {(2J)-1-90[I]}. Utilizing 90J pulses, new characterization-of-decoupler (COD) pulse sequences can determine the performance of an insensitive I-spin channel by observing large signals from either antiphase or multiple quantum coherences with the S-spin channel, allowing, in minutes rather than hours: (i) frequency calibration to an accuracy of 0.1 Hz; (ii) measurement of RF amplitudes over a 500-fold variation; and (iii) mapping of RF homogeneity along the sample axis with a single 1D B1 spectrum. These 90J coherence transfer pulses are of potential general use for selective spectroscopy.