核燃料棒芯块^(235)U丰度检测方法研究

核燃料棒中UO_(2)芯块的^(235)U丰度检测是保证核反应堆正常运行的重要环节,根据铀样品能谱谱形,通过迭代拟合算法精确选取目标信号的能量范围,减少了测量精度受UO_(2)芯块年龄的影响,扩大了目标信号能量选取范围,基于小波变换法,过滤无关频率信号,提高了突变信号的识别精度,进一步提高了检测速度。通过模拟存在异常丰度芯块燃料棒检测验证了方法的可行性。

Painlevé property, local and nonlocal symmetries, and symmetry reductions for a (2+1)-dimensional integrable KdV equation

The Painlevé property for a(2+1)-dimensional Korteweg–de Vries(KdV) extension, the combined KP3(Kadomtsev–Petviashvili) and KP4(cKP3-4), is proved by using Kruskal’s simplification. The truncated Painlevé expansion is used to find the Schwartz form, the Bäcklund/Levi transformations, and the residual nonlocal symmetry. The residual symmetry is localized to find its finite Bäcklund transformation. The local point symmetries of the model constitute a centerless Kac–Moody–Virasoro algebra. The local point symmetries are used to find the related group-invariant reductions including a new Lax integrable model with a fourth-order spectral problem. The finite transformation theorem or the Lie point symmetry group is obtained by using a direct method.

Rogue waves for the(2+1)-dimensional Myrzakulov–Lakshmanan-Ⅳ equation on a periodic background

In this paper, the rogue wave solutions of the(2+1)-dimensional Myrzakulov–Lakshmanan(ML)-Ⅳ equation, which is described by five component nonlinear evolution equations, are studied on a periodic background. By using the Jacobian elliptic function expansion method, the Darboux transformation(DT) method and the nonlinearization of the Lax pair, two kinds of rogue wave solutions which are expressed by Jacobian elliptic functions dn and cn, are obtained.The relationship between these five kinds of potential is summarized systematically. Firstly, the periodic rogue wave solution of one potential is obtained, and then the periodic rogue wave solutions of the other four potentials are obtained directly. The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

The residual symmetry,Bäcklund transformations,CRE integrability and interaction solutions:(2+1)-dimensional Chaffee–Infante equation

In this paper,we consider the(2+1)-dimensional Chaffee-Infante equation,which occurs in the fields of fluid dynamics,high-energy physics,electronic science etc.We build Bäcklund transformations and residual symmetries in nonlocal structure using the Painlevétruncated expansion approach.We use a prolonged system to localize these symmetries and establish the associated one-parameter Lie transformation group.In this transformation group,we deliver new exact solution profiles via the combination of various simple(seed and tangent hyperbolic form)exact solution structures.In this manner,we acquire an infinite amount of exact solution forms methodically.Furthermore,we demonstrate that the model may be integrated in terms of consistent Riccati expansion.Using the Maple symbolic program,we derive the exact solution forms of solitary-wave and soliton-cnoidal interaction.Through 3D and 2D illustrations,we observe the dynamic analysis of the acquired solution forms.

Painlevé analysis,auto-Bäcklund transformation and new exact solutions of(2+1)and(3+1)-dimensional extended Sakovich equation with time dependent variable coefficients in ocean physics

This article considers time-dependent variable coefficients(2+1)and(3+1)-dimensional extended Sakovich equation.Painlevéanalysis and auto-Bäcklund transformation methods are used to examine both the considered equations.Painlevéanalysis is appeared to test the integrability while an auto-Bäcklund transformation method is being presented to derive new analytic soliton solution families for both the considered equations.Two new family of exact analytical solutions are being obtained success-fully for each of the considered equations.The soliton solutions in the form of rational and exponential functions are being depicted.The results are also expressed graphically to illustrate the potential and physical behaviour of both equations.Both the considered equations have applications in ocean wave theory as they depict new solitary wave soliton solutions by 3D and 2D graphs.

基于JPEG2000的电能质量扰动数据压缩方法

JPEG2000是最新静态图像压缩的国际标准,虽然JPEG2000编解码器主要用于图像压缩,但是本文展示了其用于一维电能质量扰动数据的压缩。对于实际电网中采集的各类电能质量扰动信号,JPEG2000的压缩性能好于常见的一些二维压缩方法,特别是使用已有的JPEG2000编解码器的软硬件资源,可以省去专门的硬件开发成本。另外JPEG2000编解码器的一些优良特性,诸如精确的码率控制和累进式传输,也将得到保留。

用子波变换提取CO_2焊电流波形特征的研究

在介绍了子波变换基本理论的基础上，着重论述了应用基数样条双正交子波变换模极大值来提取信息特征的方法。

对角存储的JPEG2000二维小波正/反变换VLSI体系设计

为提高 JPEG2000 小波变换的数据吞吐能力,提出了一个新的基于用行列模式二维小波正/反变换 VLSI 体系。在此体系中,块存储器以对角存储的方式被划分为八块双口 SRAM,一维离散小波运算单元采用流水线技术设计。此体系可支持 JPEG2000 5/3 和 9/7 两种小波,并且可以节省熵编码所需的码块存储器。设计的一维离散小波运算单元,可以在一个周期内处理四个像素的数据。经测试,此设计工作在 20MHZ 频率下,外加数据缓存时,完成一张 512×512×8 比特的灰白图像“lenna”的三级小波分解需要 13.31ms,不加数据缓存,需要 16.6ms。

An ensemble learning method to retrieve sea ice roughness from Sentinel-1 SAR images

Sea ice surface roughness(SIR)affects the energy transfer between the atmosphere and the ocean,and it is also an important indicator for sea ice characteristics.To obtain a small-scale SIR with high spatial resolution,a novel method is proposed to retrieve SIR from Sentinel-1 synthetic aperture radar(SAR)images,utilizing an ensemble learning method.Firstly,the two-dimensional continuous wavelet transform is applied to obtain the spatial information of sea ice,including the scale and direction of ice patterns.Secondly,a model is developed using the Adaboost Regression model to establish a relationship among SIR,radar backscatter and the spatial information of sea ice.The proposed method is validated by using the SIR retrieved from SAR images and comparing it to the measurements obtained by the Airborne Topographic Mapper(ATM)in the summer Beaufort Sea.The determination of coefficient,mean absolute error,root-mean-square error and mean absolute percentage error of the testing data are 0.91,1.71 cm,2.82 cm,and 36.37%,respectively,which are reasonable.Moreover,K-fold cross-validation and learning curves are analyzed,which also demonstrate the method’s applicability in retrieving SIR from SAR images.

Curvelet变换结合(2D)~2PCA的人脸识别算法

作为一种新的多尺度多方向性的信号分析工具,Curvelet变换不但具有小波变换多尺度和多分辨率的特点,还具有很强的方向性,对包含大量面部轮廓和五官曲线信息的人脸图像能实现最优的稀疏表示。本文提出并实现了一种基于Curvelet变换结合双向二维主成分分析((2D)~2PCA)的人脸识别算法,以Yale人脸数据库进行人脸识别实验,结果表明,该算法相对于传统基于小波变换的人脸识别算法,能有效提高识别率,缩短识别时间。

基于小波变换的融合两种2DPCA的人像认证算法

目的为了解决单一2DPCA方法在人像识别中的局限性问题,提出一种在小波变换降维的基础上融合两种2DPCA的人像认证算法.方法采用2维小波变换对人像进行分解,抽取低频信息构成新的特征描述,再分别使用基于总协方差矩阵和类间散布矩阵的2DPCA方法进行初次判决,最后融合2组判决结果得出最终判决,实现基于人像的身份认证.结果在ORL数据库上进行实验,小样本和全部样本情况下最高识别率分别达到99.92%和94.25%,表明了算法的有效性.结论算法优于二维主成分分析方法、单一的基于小波变换的二维主成分分析方法及二维独立元方法,且对表情、姿态及光照变化有一定稳定性.

基于SLR与GRACE卫星重力场2阶项位系数分析

为了研究地球2阶重力场的时变规律,分别利用CSR发布的从2003—2014年这12a的SLR观测数据与GRACE卫星数据解算得到的地球重力场2阶项位系数,构造时间序列并进行分析;同时用小波分析探究其时间序列的周期特性。结果表明,基于GRACE卫星数据解算得到的结果半年周期性强于基于SLR观测数据解算的结果,除了C_(21)以外,基于二者解算得到的结果都有较明显的周年周期特性;利用交叉小波和相干小波相干谱分析得到,基于二者解算的2阶项位系数C_(20)、C_(22)、C_(21)、S_(22)在周年周期上具有较强的相关性。

基于2D-LPEWT的特征提取方法在电缆局部放电分析中的应用

局部放电检测对识别电力电缆绝缘缺陷具有重要意义,其中提取有效的特征参量为其研究重点。该文提出一种基于二维Littlewood-Paley经验小波变换(2D-LPEWT)的特征提取方法,可实现电缆局部放电不同缺陷类型的准确识别。通过搭建电缆绝缘局部放电检测平台,利用2DLPEWT对四种典型缺陷模型下局部放电产生的?-Q-n图谱进行分解,对得到的经验小波系数子图提取了Tamura特征、矩特征和熵特征,并讨论了不同的特征提取方法对KNN、决策树、支持向量机(SVM)三种分类算法性能的影响。结果表明所提出的特征提取方法在不同的分类器下均可达到很高的识别精度,具有很好的实用性。

New soliton wave solutions of a(2+1)-dimensional Sawada-Kotera equation

In this work,we studied a(2+1)-dimensional Sawada-Kotera equation(SKE).This model depicts non-linear wave processes in shallow water,fluid dynamics,ion-acoustic waves in plasmas and other phe-nomena.A couple of well-established techniques,the Bäcklund transformation based on the modified Kudryashov method,and the Sardar-sub equation method are applied to obtain the soliton wave solution to the(2+1)-dimensional structure.To illustrate the behavior of the nonlinear model in an appealing fashion,a variety of travelling wave solutions are formed,such as contour,2D,and 3D plots.The pro-posed approaches are proved more convenient and dominant for getting analytical solutions and can also be implemented to a variety of physical models representing nonlinear wave phenomena.

一种基于Gabor小波和2DPCA的掌纹识别改进算法

提出一种改进的基于Gabor小波变换和二维主分量分析2DPCA(2-Dimensional Principal component analysis)的掌纹识别。2DPCA克服了传统Gabor小波变换后直接进行主分量分析PCA(Principal component analysis)遇到的维数灾难问题,并且将PCA与Fisher线性判别FLD(Fisher Linear Discriminate)结合起来,利用了以前仅用于降维的PCA特征和FLD特征相融合进行掌纹识别。基于PolyU掌纹库的实验结果表明,该方法不仅有更高的识别率,而且维数更低。

APPLICATION OF TWO-DIMENSIONAL WAVELET TRANSFORM IN NEAR-SHORE X-BAND RADAR IMAGES

Among existing remote sensing applications, land-based X-band radar is an effective technique to monitor the wave fields, and spatial wave information could be obtained from the radar images. Two-dimensional Fourier Transform （2-D FT） is the common algorithm to derive the spectra of radar images. However, the wave field in the nearshore area is highly non-homogeneous due to wave refraction, shoaling, and other coastal mechanisms. When applied in nearshore radar images, 2-D FT would lead to ambiguity of wave characteristics in wave number domain. In this article, we introduce two-dimensional Wavelet Transform （2-D WT） to capture the non-homogeneity of wave fields from nearshore radar images. The results show that wave number spectra by 2-D WT at six parallel space locations in the given image clearly present the shoaling of nearshore waves. Wave number of the peak wave energy is increasing along the inshore direction, and dominant direction of the spectra changes from South South West （SSW） to West South West （WSW）. To verify the results of 2-D WT, wave shoaling in radar images is calculated based on dispersion relation. The theoretical calculation results agree with the results of 2-D WT on the whole. The encouraging performance of 2-D WT indicates its strong capability of revealing the non-homogeneity of wave fields in nearshore X-band radar images.

应用于JPEG2000的5/3提升小波的VLSI结构设计

提出一种基于提升算法(lifting scheme)实现JPEG2000编码系统中的二维离散小波变换(Discrete WaveletTransform)的并行阵列式的VLSI结构设计方法.该结构由一个行处理器和一个列处理器组成,行、列处理器通过时分复用同时进行滤波,用优化的移位加操作替代乘法操作,采用嵌入式数据延拓算法处理边界延拓.整个结构采用流水线设计方法,减少了运算量,提高了硬件资源利用率,该结构可应用于JPEG2000图像编码芯片中.

基于2D-DTCWT的超精密车削表面形貌多尺度分析

在超精密加工中,工件三维表面形貌的多尺度分析常用于纹理特征的提取和误差溯源。传统的二维离散实小波变换存在频率混叠严重和方向选择性差等缺陷,影响其对超精密车削表面中多方向性线形纹理特征的提取效果。文章基于车削实验,将二维双树复小波变换应用于超精密车削表面的分析中,并且针对小波变换层数的选取问题,对各层尺度系数重构表面的峭度及其相对于原始表面形貌数据的均方根误差进行分析,确定了小波变换层数的选择准则。为了评估二维双树复小波变换的分析效果,从能量泄漏和纹理特征两方面将其与二维离散实小波变换进行对比,验证了二维双树复小波变换分析超精密车削表面的优越性。

基于小波变换和希尔伯特变换的N_(2)红土层厚度识别方法研究——以西北地区崔木矿区为例

西北地区N红土层其区域煤层上覆有关键隔水层,其厚度对于浅表层水资源保护具有重要意义。文章以西北地区崔木矿为研究区,结合小波变换和希尔伯特变换技术,利用测井曲线和三维地震资料,对区内N红土层厚度进行了研究。首先通过模型研究,得出了利用测井曲线确定N红土层厚度的特征规律。在此基础上,对实际数据进行了处理,得到研究区内N红土层厚度分布结果。该研究结果可为西北地区浅埋煤层开采时浅表层水资源保护提供参考。

基于混沌序列的多重数字图像水印算法

采用一维混沌映射 ,根据不同的混沌初始条件生成多个互不相关的混沌实值序列 ,进而得到性能良好的多重数字图像水印信号 ,有效地解决了多重数字图像水印信号的构造问题 .同时采用二维混沌映射将各水印信号置乱 ,随机均匀地叠加在图像小波变换的中低频系数上 ,各水印信号的嵌入和提取可以互不干扰 ,解决了多重数字图像水印的嵌入问题 .实验结果表明 ,该算法对各种常见的攻击均具备了一定的抵抗能力 ,可有效地解决数字图像产品的多著作权问题 .