MULTIPLE INTERSECTIONS OF SPACE-TIME ANISOTROPIC GAUSSIAN FIELDS

Let X={X(t)∈R^(d),t∈R^(N)}be a centered space-time anisotropic Gaussian field with indices H=(H_(1),…,H_(N))∈(0,1)~N,where the components X_(i)(i=1,…,d)of X are independent,and the canonical metric√(E(X_(i)(t)-X_(i)(s))^(2))^(1/2)(i=1,…,d)is commensurate with■for s=(s_(1),…,s_(N)),t=(t_(1),…,t_(N))∈R~N,α_(i)∈(0,1],and with the continuous functionγ(·)satisfying certain conditions.First,the upper and lower bounds of the hitting probabilities of X can be derived from the corresponding generalized Hausdorff measure and capacity,which are based on the kernel functions depending explicitly onγ(·).Furthermore,the multiple intersections of the sample paths of two independent centered space-time anisotropic Gaussian fields with different distributions are considered.Our results extend the corresponding results for anisotropic Gaussian fields to a large class of space-time anisotropic Gaussian fields.

ALMOST SURELY TIME-SPACE INTERMITTENCY FOR THE PARABOLIC ANDERSON MODEL WITH A LOG-CORRELATED GAUSSIAN FIELD

In this paper, we consider the continuous parabolic Anderson model with a logcorrelated Gaussian field, and obtain the precise quenched long-time asymptotics and spatial asymptotics. To overcome the difficulties arising from the log-correlated Gaussian field in the proof of the lower bound of the spatial asymptotics, we first establish the relation between quenched long-time asymptotics and spatial asymptotics, and then get the lower bound of the spatial asymptotics through the lower bound of the quenched long-time asymptotics.

Multivariate stationary non-Gaussian process simulation for wind pressure fields

Stochastic simulation is an important means of acquiring fluctuating wind pressures for wind induced response analyses in structural engineering. The wind pressure acting on a large-span space structure can be characterized as a stationary non-Gaussian field. This paper reviews several simulation algorithms related to the Spectral Representation Method （SRM） and the Static Transformation Method （STM）. Polynomial and Exponential transformation functions （PSTM and ESTM） are discussed. Deficiencies in current algorithms, with respect to accuracy, stability and efficiency, are analyzed, and the algorithms are improved for better practical application. In order to verify the improved algorithm, wind pressure fields on a large-span roof are simulated and compared with wind tunnel data. The simulation results fit well with the wind tunnel data, and the algorithm accuracy, stability and efficiency are shown to be better than those of current algorithms.

Acoustic radiation force on a multilayered sphere in a Gaussian standing field

We develop a model for calculating the radiation force on spherically symmetric multilayered particles based on the acoustic scattering approach. An expression is derived for the radiation force on a multilayered sphere centered on the axis of a Gaussian standing wave propagating in an ideal fluid, The effects of the sound absorption of the materials and sound wave on acoustic radiation force of a multilayered sphere immersed in water are analyzed, with particular emphasis on the shell thickness of every layer, and the width of the Gaussian beam. The results reveal that the existence of particle trapping behavior depends on the choice of the non-dimensional frequency ka, as well as the shell thickness of each layer. This study provides a theoretical basis for the development of acoustical tweezers in a Gaussian standing wave, which may benefit the improvement and development of acoustic control technology, such as trapping, sorting, and assembling a cell, and drug delivery applications.

Polarization singularities in near-field of Gaussian vortex beam diffracted by a circular aperture

Polarization singularities in the near-field of Gaussian vortex beams diffracted by a circular aperture are studied by a rigorous electromagnetic theory. It is shown that there exist C-points and L-lines, which depend on off-axis displacement parameters along the x and y directions, waist width, wavelength, and topological charge of the diffracted Gaussian vortex beam, as well as on propagation distance. The results are illustrated by numerical calculations.

基于国产GF-3雷达影像的农田洪涝遥感监测方法

在全球气候变暖背景下,愈发频繁的洪涝灾害是造成我国粮食作物减产的主要农业灾害之一。雷达遥感技术具备全天候的对地观测能力,是快速监测区域范围内洪涝灾害信息的一种重要手段。随着人工智能领域的发展,机器学习方法广泛应用于洪涝灾害遥感监测,虽然该类算法具有较高的精度,但其训练过程往往需要大量的野外调查或遥感解译样本支持。为克服样本标记限制、提高区域尺度洪涝灾害监测的精度,本研究以2021年7月20日河南北部特大洪涝事件为背景,利用国产高分三号(GF-3)双极化雷达影像(HH-HV),构建了一种基于弱监督高斯混合模型(gaussian mixture model,GMM)的洪涝淹没作物监测方法,通过该方法提取了豫北部分区域农田洪涝淹没范围。通过对比4种典型的机器学习方法,包括随机森林、支持向量机、K最近邻分类和平行六面体方法,发现该文构建的弱监督GMM方法的精度最高,其总体精度为0.95,Kappa系数为0.90。该研究对于提高基于合成孔径雷达(synthetic aperture radar,SAR)遥感技术监测区域尺度作物洪涝的准确性和普适性具有重要意义。

Acoustic radiation force on a rigid cylinder near rigid corner boundaries exerted by a Gaussian beam field

Acoustic manipulation is one of the well-known technologies of particle control and a top research in acoustic field.Calculation of acoustic radiation force on a particle nearby boundaries is one of the critical tasks,as it approximates realistic applications.Nevertheless,it is quite difficult to solve the problem by theoretical method when the boundary conditions are intricate.In this study,we present a finite element method numerical model for the acoustic radiation force exerting on a rigid cylindrical particle immersed in fluid near a rigid corner.The effects of the boundaries on acoustic radiation force of a rigid cylinder are analyzed with particular emphasis on the non-dimensional frequency and the distance from the center of cylinder to each boundary.The results reveal that these parameters play important roles in acoustic manipulation for particle-nearby complicated rigid boundaries.This study verifies the feasibility of numerical analysis on the issue of acoustic radiation force calculation close to complex boundaries,which may provide a new idea on analyzing the acoustic particle manipulation in confined space.

Non-Gaussian Lagrangian Stochastic Model for Wind Field Simulation in the Surface Layer

Wind field simulation in the surface layer is often used to manage natural resources in terms of air quality,gene flow(through pollen drift),and plant disease transmission(spore dispersion).Although Lagrangian stochastic(LS)models describe stochastic wind behaviors,such models assume that wind velocities follow Gaussian distributions.However,measured surface-layer wind velocities show a strong skewness and kurtosis.This paper presents an improved model,a non-Gaussian LS model,which incorporates controllable non-Gaussian random variables to simulate the targeted non-Gaussian velocity distribution with more accurate skewness and kurtosis.Wind velocity statistics generated by the non-Gaussian model are evaluated by using the field data from the Cooperative Atmospheric Surface Exchange Study,October 1999 experimental dataset and comparing the data with statistics from the original Gaussian model.Results show that the non-Gaussian model improves the wind trajectory simulation by stably producing precise skewness and kurtosis in simulated wind velocities without sacrificing other features of the traditional Gaussian LS model,such as the accuracy in the mean and variance of simulated velocities.This improvement also leads to better accuracy in friction velocity(i.e.,a coupling of three-dimensional velocities).The model can also accommodate various non-Gaussian wind fields and a wide range of skewness–kurtosis combinations.Moreover,improved skewness and kurtosis in the simulated velocity will result in a significantly different dispersion for wind/particle simulations.Thus,the non-Gaussian model is worth applying to wind field simulation in the surface layer.

Segmentation of MS lesions using entropy-based EM algorithm and Markov random fields

This paper presents an approach for fully automatic segmentation of MS lesions in fluid attenuated inversion recovery (FLAIR) Magnetic Resonance (MR) images. The proposed method estimates a gaussian mixture model with three kernels as cerebrospinal fluid (CSF), normal tissue and Multiple Sclerosis lesions. To estimate this model, an automatic Entropy based EM algorithm is used to find the best estimated Model. Then, Markov random field (MRF) model and EM algorithm are utilized to obtain and upgrade the class conditional probability density function and the apriori probability of each class. After estimation of Model parameters and apriori probability, brain tissues are classified using bayesian classification. To evaluate the result of the proposed method, similarity criteria of different slices related to 20 MS patients are calculated and compared with other methods which include manual segmentation. Also, volume of segmented lesions are computed and compared with gold standard using correlation coefficient. The proposed method has better performance in comparison with previous works which are reported here.

EXTREMA OF A GAUSSIAN RANDOM FIELD:BERMAN'S SOJOURN TIME METHOD

In this paper we devote ourselves to extending Berman’s sojourn time method,which is thoroughly described in[1-3],to investigate the tail asymptotics of the extrema of a Gaussian random field over[0,T]^(d) with T∈(0,∞).

Post-Gaussian Effective Potential of Double sine-Gordon Field

In the framework of the functional integral formalism, we calculate the effective potential of the double sine-Gordon (DsG) model up to the second order with an optimized expansion and the Coleman's normal-ordering prescription. Within the range of convergence, we make a comparison among the classicaland the effective potential of the first and second order. The numerical analysis shows that the DsG post-Gaussian EP possesses some fine global properties and makes a substantial and a concordant quantum correction to the features of the classical potential.

Mode-field half-widths of Gaussian approximation for the fundamental mode of two kinds of optical waveguides

This paper analyzes the characteristic of matching efficiency between the fundamental mode of two kinds of optical waveguides and its Gaussian approximate field.Then, it presents a new method where the mode-field half-width of Caussian approximation for the fundamental mode should be defined according to the maximal matching efficiency method. The relationship between the mode-field half-width of the Gaussian approximate field obtained from the maximal matching efficiency and normalized frequency is studied; furthermore, two formulas of mode-field half-widths as a function of normalized frequency are proposed.

超声混粉电火花加工热力学仿真及表面形貌研究

为了研究超声振动和混粉对电火花加工的影响,基于传热理论,结合超声和混粉特性建立了超声混粉电火花传热模型。基于建立的传热模型对超声混粉电火花加工去除材料过程进行瞬态热力学仿真,并通过实验验证了仿真结果的准确性。通过仿真和实验分析了普通电火花、超声电火花、混粉电火花和超声混粉电火花四种加工方式,结果表明超声混粉电火花加工效率比普通电火花加工效率提高了23%。加入混粉和施加超声可以减少加工表面积碳,提高表面质量;可以使放电凹坑变得更加规则,使表面粗糙度降低。混粉电火花加工相对于普通电火花加工其表面粗糙度平均降低了8.9%,超声混粉电火花表面粗糙度相对于普通电火花平均降低了4.3%。

基于有限域GF（2^n）上圆锥曲线的公钥密码算法

圆锥曲线密码学是一种新型的公钥密码学,迄今对圆锥曲线密码学的研究成果都是以有限域GF(p)上的圆锥曲线为基础的.本文将有限域GF(p)上的圆锥曲线C(GF(p))推广为有限域GF(2n)上的圆锥曲线C(GF(2n)),证明了圆锥曲线C(GF(2n))上的点和加法运算构成有限交换群(C(GF(2n)),),并给出了圆锥曲线群(C(GF(2n)),)的阶的计算.此外,提出了使用有限域GF(2n)上的圆锥曲线群构造公钥密码系统,并给出了E lGam al加密方案和数字签名算法(DSA)在圆锥曲线C(GF(2n))上模拟的算法,最后分析其安全性.

基于潜高斯过程引入理论先验的钛合金结构件残余应力场推断方法

残余应力(Residual stress,RS)是导致钛合金结构件加工变形的主要原因。钛合金结构件的残余应力包括初始残余应力(Initial residual stress,IRS)和加工表层残余应力(Machined surface residual stress,MSRS),其中,MSRS是加工表层区域的IRS与高水平的加工残余应力(Machining‑induced residual stress,MIRS)耦合作用的结果。结构件的加工变形控制是航空航天工业亟需解决的重要问题,准确获取结构件残余应力场的是加工变形精确预测和控制的基础。然而,现有的残余应力预测方法难以考虑零件制造过程中的各种不确定性,导致预测精度有限。现有的测量方法仅能在样件中测量局部的残余应力,对于大型结构件残余应力场测量,测量效率低。针对以上挑战,本文提出了一种贝叶斯框架下同时推断钛合金结构件IRS和MSRS的方法。该方法将不可观测的IRS和MSRS建模为潜高斯过程,将不同区域的MSRS场之间存在相关性这一先验知识通过具有共享协方差的核函数融入潜高斯过程,并利用可观测的变形力对残余应力场进行推断。本方法提供了一种从概率角度利用变形力数据推断零件残余应力场的有效手段,为后续变形控制策略优化提供了可靠依据。

GF（2^m）域上可配置ECC算术模块的设计与实现

提出一种应用于可配置椭圆曲线密码体制的有限域多项式算术模块结构,乘法器基于已有的digit-serial结构乘法器,利用局部并行的bit-parallel结构,省去了模约简电路,使乘法器可适用于任意不可约多项式。平方器结构利用LSB或LSD乘法器以及加法器来计算模平方,通过数据接口控制输入数据的格式,可以满足不同域值有限域点乘运算的需求。

基于GF-2数据的田间尺度盐渍化提取——以新疆艾比湖流域为例

为了更加准确有效地监测田间尺度上土壤盐渍化的时空分布,针对农田-裸地交错带,提出先区分农田和裸地两种景观再进行盐渍化提取的策略,首次使用高分二号数据对艾比湖流域农田-裸地交错带干湿两季的盐渍化进行提取和分析。结果表明:本文方法的总精度达到95%以上,且减少了常规分类中经常出现的"椒盐现象";纹理特征的加入使农田类别的光谱可分性从1.5以下提升到1.7,进而增加了提取农田边界的精确性;研究区干季的盐渍化面积较湿季上升了50%左右,中度盐渍化的面积比例上升最大为27%,干湿季差异非常明显。本研究推进了国产高分二号亚米级数据在干旱区农田-裸地交错带盐渍化提取的研究与应用,也为干旱区农田灌溉方案的制定和次生盐渍化灾害的控制提供信息支持。

一种GF（2^k）域的高效乘法器及其VLSI实现

在分析全串行和全并行 GF(2 k)域乘法的基本原理基础上提出了一种适合于任意 GF(2 k)域的乘法器 UHGM(U nified Hybrid Galois Field Multiplier) .它为当前特别重要的 k为素数的 GF(2 k)域乘法 ,提供了一种高效的实现方法 .该乘法器具有结构规整、模块化好的特点 ,特别适合于 VL SI实现 ,同时这种结构具有粗粒度的面积和速度的可伸缩性 ,方便了在大范围内进行实现面积和速度的权衡 .最后给出了 GF(2 1 6 3)域上乘法器的

基于GF（2^8）域相似函数的椒盐噪声滤波算法

针对数字图像采集及处理过程中广泛存在的椒盐噪声,基于GF(28)有限域,提出一种具有噪声点精确检测能力的改进型噪声滤波算法。根据图像相邻像素相关性,构建了GF(28)域上的相似函数,并据此提出了GF(28)域上的图像自适应椒盐噪声检测算子,可对噪声点准确定位;结合中值滤波算法完成数字图像的椒盐噪声自适应滤除。实验表明提出算法对噪声点定位准确,在图像的恢复和保护图像细节方面对比其他算法有较大提高,对强噪声污染图像的恢复也有较好效果。

大气激光通信系统中GF(17)域RS码研究

低脉冲位置调制是大气激光通信领域广泛采用的调制方式,为了更好地与低脉冲位置调制映射,提高通信系统的检错和纠错能力,在此通信系统中的信道编码采用基于有限域GF(q)上的纠错码,论述了GF(17)域RS码的编译码算法和研究RS(16,10)的编译码算法及其实现过程。结果表明,采用16脉冲位置调制方式在信道受到干扰后,基于GF(17)域的RS(16,10)码可以在接收端纠正两位随机错误。