液晶投影仪液晶板自动汇聚系统的对焦算法分析

在建立液晶投影仪的液晶板自动聚焦合色系统基础上,对三种不同的自动对焦算法进行了理论模拟和实验分析,并选择了适合于液晶板自动对焦的算法.实验表明该算法满足汇聚系统的应用要求.     

An averaging principle for stochastic dynamical systems with Lévy noise

The purpose of this paper is to establish an averaging principle for stochastic differential equations with non-Gaussian Lévy noise. The solutions to stochastic systems with Lévy noise can be approximated by solutions to averaged stochastic differential equations in the sense of both convergence in mean square and convergence in probability. The convergence order is also estimated in terms of noise intensity. Two examples are presented to demonstrate the applications of the averaging principle, and a numerical simulation is carried out to establish the good agreement.     

Convergence properties of the cluster expansion for equal- time Green functions in scalar theories

We investigate the convergence properties of the cluster expansion of equal-time Green functions in scalar theories with quartic self-coupling in (0 + 1), (1 + 1), and (2 + 1) space-time dimensions. The computations are carried out within the equal-time correlation dynamics approach, which consists in a closed set of coupled equations of motion for connected Green functions as obtained by a truncation of the BBGKY hierarchy. We find that the cluster expansion shows good convergence as long as the system is in a localized state (single phase configuration) and that it breaks down in a non-localized state (two phase configuration), as one would naively expect. Furthermore, in the case of dynamical calculations with a time dependent Hamiltonian for the evaluation of the effective potential we find two timescales determining the adiabaticity of the propagation; these are the time required for adiabaticity in the single phase region and the time required for tunneling into the non-localized lowest energy state in the two phase region. Our calculations show a good convergence for the effective potentials in (1 + 1) and (2+1) space-time dimensions since tunneling is suppressed in higher space-time dimensions.     

皮尔斯电子枪非迭代综合法的修正

 对Tiwary非迭代综合法进行了整理分析,根据阴极半锥角大小的不同范围对其计算公式做出了相应修正,使得计算结果与Vaughan迭代综合法的计算结果相吻合,二者之间相差可以实现小于1°;对阳极半径公式也做了合理的修正,使阳极与阴极之间的间隙及电子枪射程的计算精度也与迭代综合法相当。采用非迭代法的修正方法计算精度受阴极半锥角大小的影响大大减小,扩大了其应用范围。     

皮尔斯电子枪非迭代综合法的修正

对Tiwary非迭代综合法进行了整理分析,根据阴极半锥角大小的不同范围对其计算公式做出了相应修正,使得计算结果与Vaughan迭代综合法的计算结果相吻合,二者之间相差可以实现小于1°;对阳极半径公式也做了合理的修正,使阳极与阴极之间的间隙及电子枪射程的计算精度也与迭代综合法相当。采用非迭代法的修正方法计算精度受阴极半锥角大小的影响大大减小,扩大了其应用范围。     

Comparison of convergence characteristics of adaptive IIR and FIR filters for active noise control in a duct

There are perceived drawbacks to using adaptive IIR filters, as opposed to adaptive FIR filters, for active noise control (ANC). These include stability issues, the possible convergence of estimated parameters to biased and/or local minimum solutions and relatively slow rate of convergence. Stability issues can generally be resolved easily using well-established methods. In this Technical Note convergence rates are compared with particular reference to the active control of noise in a duct, for which the dynamics of the cancellation path are important. The characteristics of this application of ANC set it apart from usual signal processing applications of adaptive IIR filters and this has implications for the convergence properties. Various control approaches are considered: IIR least mean squares (IIR-LMS), IIR recursive least squares (IIR-RLS) with FASPIS (Fast Algorithm Secondary Path Integration Scheme) and FIR-LMS. Numerical examples are presented. It is seen that the cancellation path dynamics generally have the effect of changing the performance surface of the estimated IIR filter from bimodal to unimodal, which has consequences for improving the convergence rate of adaptive IIR filters. It is also seen that IIR-RLS has a comparable rate of convergence to FIR-LMS, with the steady-state performance being as good or better.     

深海不完整声道下反转点会聚区研究

近期南海远程声传播实验数据的处理分析表明在深海不完整声道中声道轴以下存在一种会聚区,该会聚区相比于海面附近的上反转点会聚区在远距离处具有更高的会聚增益.本文利用射线简正波理论确定了水中反转型焦散线和海面反射型焦散线位置,对比发现实验中观测到的深海大深度会聚区位置与水中反转型焦散线位置一致,证明该会聚区是由大量简正波同相...     

Model energy calculations of nuclear matter in the Jastrow variational approach

We calculate the model energy of nuclear matter within the FIY expansion scheme. Numerical results are presented for two semi-realistic central potentials and a state independent correlation function which is suitably constrained for good cluster convergence.     

穿越深海会聚区的声源定位方法研究

基于WKBZ近似深海会聚区预报模型和方位滤波方法建立了穿越会聚区声源运动参数的估计模型，模拟结果表明，方位误差较小时，在前三个会聚区内，目标运动参数估计结果与模拟设定参数符合较好。     

Coulomb Sturmians in spheroidal coordinates and their application for diatomic molecular calculations

Coulomb Sturmians are obtained in prolate spheroidal coordinates by separation of variables in the Schrödinger equation and direct solution of the appropriate one-dimensional equations. Molecular orbitals are expressed as linear combinations of the introduced Coulomb Sturmians and some low-lying energy terms and corresponding wave functions are calculated for one-electron diatomic molecules. It is shown that similarity of the one- and two-centre orbitals in spheroidal coordinates, combined with completeness and good convergence properties of Coulomb Sturmians, substantially speeds up convergence and makes the calculated results closer to the exact ones. Application of the elaborated calculating scheme for diatomic many-electron molecules is discussed.     

基于差分相位相关收敛准则的迭代语音信号分离

将一种新颖的迭代算法用于消除语音信号中非目标话者的语音干扰。一个简单的双传声器系统被用来采集混合语音,形成迭代维纳滤波器的主通道信号和参考信号。算法的关键在于提出差分相位相关准则(DPCF)控制造代过程的收敛,并根据话者状态多类判决实时更新滤波器以自动适应声学环境.实验表明,迭代算法不断的消除主通道中的干扰话音直到准则函数判断收敛.客观语音评价和非正式的试听评价表明系统在达到收敛的同时,目标语音也达到最佳的语音质量,清晰度令人满意。     

深海会聚区声场多途时延差分析及声源距离估计*

深海会聚区声道由于具有传播距离远、传播损失低等优势,对实现声呐远程探测具有十分重要的意义。本文基于虚源理论推导了深海会聚区的多途到达时延结构,给出了会聚区内不同声线路径的时延差曲线随接收深度变化的近似表达式,通过分析时延差曲线与声源水平距离之间的关系,提出了一种利用多途时延差估计深海会聚区近海面声源距离的方法,仿真实验验证了该方法原理的正确性。南海实验结果表明,当收发距离在42km~52 km时,会聚区爆炸声源距离估计结果同实际爆炸距离吻合较好,估计误差为0.6%~6.1％,验证了该方法的有效性。     

Distribution functions for the Brownian motion of particles in a periodic potential driven by an external force

The stationary distribution functions for the Brownian motion of particles driven by an external force are calculated by expanding the velocity part into Hermite functions and the space part into a Fourier series. Insertion into the Fokker-Planck equation leads to a matrix continued fraction for the lowest two coefficients of the Hermite functions. Higher order terms are found by reverse iteration. Results are shown for a cosine potential. The good convergence allows the calculation in the full range of damping constants. For small friction the distribution function is in good agreement with previous results and the maxima are given by the solutions without noise.     

Accuracy preserving limiter for the high-order accurate solution of the Euler equations

Higher-order finite-volume methods have been shown to be more efficient than second-order methods. However, no consensus has been reached on how to eliminate the oscillations caused by solution discontinuities. Essentially non-oscillatory (ENO) schemes provide a solution but are computationally expensive to implement and may not converge well for steady-state problems. This work studies the extension of limiters used for second-order methods to the higher-order case. Requirements for accuracy and efficient convergence are discussed. A new limiting procedure is proposed. Ringleb’s flow problem is used to demonstrate that nearly nominal orders of accuracy for schemes up to fourth-order can be achieved in smooth regions using the new limiter. Results for the fourth-order accurate solution of transonic flow demonstrates good convergence properties and significant qualitative improvement of the solution relative the second-order method. The new limiter can also be successfully applied to reduce the dissipation of second-order schemes with minimal sacrifices in convergence properties relative to existing approaches.     

Modelling microwave backscatter from discrete random media using a multiple-scattering series: convergence issues

A measure of convergence of the Neumann series, originally obtained for isotropic spherical scatterers, has been adapted for systems of non-isotropic scatterers chosen to model a vegetation target. The measure is related to the ratio of successive terms in the absolute series formed from the Neumann series. Novel, fully polarimetric calculations have been performed of multiple far-field scattering between realistic objects. The simulations indicate that the convergence measure provides a good indicator of when low-order truncations of the series are sufficient for backscatter calculations. At the same time, the distribution of backscattered intensity has been determined and its dependence upon truncation order investigated. The distributions are seen to be dependent on truncation order only when the scattering series is weakly convergent.     

一种数值模拟S形进气道内可压缩湍流的隐式迎风增量迭代法

在这篇文章里,我们提出了一个二阶隐式迎风的增量迭代法,用以离散BFC(Body-Fitted Coordinates)坐标变换下的Navier-Stokes方程。使用这种算法结合Lomax两层代数湍流模型数值求解了S形进气道内的可压缩湍流。数值实验表明:计算过程具有较好的稳定性和收敛性。二维Poissuil流动和Couette流动的计算结果和精确解符合良好,两种壁面曲率不同的S形进气道内流场的计算结果也是令人满意的。     

会聚区的水平偏移特性及其临界频率分析

利用数值模型研究了完整深海声道中会聚区的水平偏移特性,根据折射定律和Lloyd镜效应推导了会聚区发生水平偏移时临界频率的表达式。研究结果表明:当声波频率低于临界频率时,会聚区的主导模态与频率相关,随着声波频率减小会聚区会向靠近声源的方向水平移动,同时传播损失明显增大,当声波频率大于临界频率时,会聚区的主导模态近似与频率无关,会聚区的位置和传播损失大小不会随频率改变而发生明显变化,声源深度不同时,临界频率也不同。通过临界频率可以确定在特定声源深度下,会聚区发生水平偏移时需要满足的频率条件,利用临界频率与声源深度之间的关系,可以被动估计深海浅层目标的深度。     

基于多普勒天气雷达数据的中层径向辐合自动识别及其与强对流天气的相关性研究

本文提出了一种从多普勒天气雷达单仰角径向速度图中的正-负速度区域对入手自动识别一类强对流天气的中层径向辐合的方法.首先,根据雷达探测机理,解释了由气流形成的辐合场一定会在径向速度图中形成局部最大正速度区域和局部最大负速度区域的特点,然后构建正-负速度区域对的识别算法,通过来自多个单仰角径向速度图的区域对配准和相关信息,判断雷达径向速度图中是否存在着中层径向辐合,推算辐合的强度、延伸厚度等重要参数,确定得到最优垂直剖面图的剖切方位.经对客观存在显著中层径向辐合的384例样本和不存在明显中层径向辐合的356例样本的测试,本文方法对显著中层径向辐合的识别率达到100%、误识率为0,与人工方法相比,本文方法把对中层径向辐合的识别时间从分钟级缩短到秒级,同时自动给出其强度、高度、厚度、位置等丰富的定量信息和恰当的可视化垂直剖面图.利用给出的参数信息进行了与强对流天气的相关性研究,验证了中层径向辐合与对流行地面大风的较强相关性,同时发现,最强中层径向辐合的高度对区分强冰雹与强降水、中层径向辐合的强度对估计冰雹尺寸具有良好的指示性.     

An efficient implementation of the harmonic balance technique for solving nonlinear microwave problems

An efficient implementation of the harmonic balance method, using novel numerical algorithms, that are both robust and efficient, coupled with analytical expressions developed for the elements of the Jacobian matrix, is presented. The approach possesses excellent convergence property and speed. Simulated performances using the developed approach for a 10-GHz GaAs MESFET amplifier are found in good agreement with the measured results.     

超指数判决反馈水声信道盲均衡算法实验研究

利用超指数算法收敛速度快的优点,对判决反馈盲均衡算法的前向权向量的迭代式进行了修正,提出了一种新的判决反馈盲均衡算法。该算法具有收敛速度快,跟踪性能好等特点。通过水池实验,获得了符合盲均衡算法统计特性的BPSK数据,对所提出的算法与自适应判决反馈均衡算法,常数模盲均衡算法等进行了对比分析。结果表明,该算法可以有效的降低误码率,且收敛速度要优于其他算法,可靠实现了对多途水声信道的均衡。