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The topics are divided into eight chapters and two appendices, is to learn from the preamble of Chapter 1 to Chapter 7 of the preparation of knowledge, that is, inner product space Chapter 1 on the basis of Fourier series of knowledge Chapter 2 on Fourier Transform Chapter 3 introduced the Discrete Fourier Transform and Fast Fourier Transform Chapter 4 to Chapter 7 to discuss wavelet, with emphasis on construction of orthogonal wavelet appendix describes slightly complex themes, as well as a number of technical concepts or produce demo MATLAB graphics code

全书分为8章和2个附录,前言部分是学习第1章至第7章的准备知识,即内积空间;第1章讲解傅里叶系列的基础知识;第2章讲解傅里叶变换;第3章介绍离散傅里叶变换以及快速傅里叶变换;第4章至第7章讨论小波,重点在于正交小波的构建;附录部分则介绍稍微复杂的一些技术主题以及演示概念或产生图形的MATLAB代码。

Several integral transform s are named for the mathematicians who introduced them (Fourier transform , Laplace transform ).

几种积分变换依引进它们的数学家而命名,例如傅立叶变换、拉普拉斯变换

We proposed theautomatic and semi-automatic inverse Laplace transform methods and acriteriar for the optimal choice of transform parameters.24 numerical inverseLaplace transform formulas are compared for 16 different problems that haveexact solutions.

利用流行的数值积分方法,如Newton-Cotes求积公式、Gauss求积公式和振荡函数求积公式,共构造了24种Laplace逆变换方法。然后以16个有工程应用背景的Laplace逆变换问题为例,比较了这24种方法的优劣,得到了一些新的结论。

The analysis of the optical signal transmission characteristics and the physical parameters provides the theoretical foundation for optimizing the design and improving the performance of AWG; and the optimizing design numerical value calculation method solves the complex problem of the optimizing design of the AWG, it can also provide a way for AWG computer aided design system; the AWG optical signal processing analysis provide a way for optical signal Fourier transform, serial and parallel transmission, circle shift, matrix transform and differential processing; the optical signal processing characteristics of AWG develop AWG to use for new field, and the optical signal processing will play an important role on all-optical networks in the future; by the definition of the wavelength transform matrix of the AWG, the signal output positions that come from these input signals of the different wavelength or the same wavelength but the different input ports and carrying different signals can be accurately determined, and the wavelength transmission matrix plays an important role for analyzing the routing of the complex optical network, or designing the network nodes such as the optical path add/drop multiplexer and optical cross connect device; the wavelength transmission matrix also provides a method for monitoring and managing the wavelength transmission of the optical network nodes; e analysis of the AWG' OXC node structure and wavelength routing provides a way for realizing the OXC, especially for multi-path/multi-wavelength OXC and the intelligence node of the optical networks; by the studying of the control plain characteristics, router, traffic engineering, program and the improved arithmetic of the wavelength routing, the method for realizing the GMPLS' OXC optical transport network is provided, and it play an important role for the study of the automatic switched optical network; the time-frequency analysis can provide more information about the dispersion and energy changes of .the pulsed light transmission in the singlemode fiber, it also provides more useful parameters for analyzing the dispersive accumulating and dispersive compensating.

AWG光信号传输特性与相关参数的分析,为进一步优化设计AWG及提高其性能提供了理论依据,而优化设计计算数值方法解决了AWG优化设计计算的复杂问题,为进一步建立AWG的计算机设计系统提供了基础;AWG光信号处理的特性分析,提出了AWG应用的新领域,为光信号的傅立叶变换、串并传输、循环移位、矩阵变换、微分处理等提供了一条途径;波长传输矩阵变换关系的建立,不仅得到了确定多路AWG每路信号从输入端口到输出端口的准确输出位置的方法,而且在分析应用AWG实现复杂的光通信网络路由的连接、特别在设计分插复用器和交叉连接器等网络节点时有重要的作用,能有效而准确地确定波长的路由关系,为实现节点波长传输路由的监控和管理提供有效手段;基于AWG的OXC结构和波长路由的确定为实现OXC技术、特别是多路多波长的OXC和光网络的智能节点技术提供了有效的方法;控制平面的特征、路由器、流量工程、程序及改进的波长路由算法的研究实现了基于GMPLS的OXC光传送网络的控制平面,为建立自动交换光网路提供了一定的基础;时频分析可以更直观和更清晰地描述脉冲信号在单模光纤中传输色散和能量的变化,为色散积累和色散补偿提供有效的分析参数。

By fusing the IKONOS multi-band and pan image using several image fusion algorithms(IHS transform, PC transform, Gram-Schmidt transform and smoothing filter-based intensity modulation) and assessing the fusion image, indicates that qualitative comparison is too subjective, although many methods are provided for assessment when using quantitative methods, more bands and more methods should be used for their limitations, spectral curve comparison was the best method for appraising the result, spectral angle and geometry distance was introduced to appraise the spectral curve.

以IKONOS影像为数据源,对IHS、PC,Gram-Schmidt和基于亮度调节的平滑滤波四种融合算法进行融合处理,对其结果进行了评价。结果表明,定性比较主观性较强,定量比较方法虽多,但大都有一定的局限性,不同谱段的计算结果总有些差异。因此,定量评价时应该多选一些波段与评价方法才能获得比较客观的评价结果。光谱曲线的比较不失为一种比较好的方法,在对光谱曲线进行比较时本文引入了光谱角度和几何距离两种方法进行定量的比较。

In this paper, we propose the translation-invariant contourlet-like transform with lower redundancy than both the nonsubsampled contourlet transform and the translation invariant contourlet transform.

本文提出了一种具有平移不变性的类轮廓波变换,其冗余度比非抽样轮廓波变换和平移不变轮廓波变换更低。

The shift-variant property of the wavelet transform and three-dimension wavelet transform are also discussed in the thesis. And simulation experiment has been made exploringly for the motion estimation using Low-Band-Shift method aim at overcoming the temporal variance of the wavelet transform.

论文还对利用三维小波变换进行视频编码以及小波变换存在的移变性进行了分析讨论,并介绍了克服这种移变性的低子带位移运动估计的方法,探索性地进行了计算机仿真。

Wavelet transform is introduced into the study of scene matching. The first application is to reduce speckle noise in SAR images and the other one is using wavelet_based multiresolution analysis in hierarchical matching. A new nonlinear wavelet transform-morphologic Harr wavelet transform, which suit for hardware realization is presented for matching application.

3将小波变换引入到景象匹配研究之中,研究了两个方面的问题:一是SAR雷达图象的斑点噪声的抑制问题,二是将多分辨分析的思想引入到分层匹配之中,并提出了一种适合于硬件实现的非线性小波—形态学Harr小波变换。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势,将多小波分析扩展到静态多小波的范畴,提出了一种基于静态多小波变换的图像融合方法。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势,将多小波分析扩展到静态多小波的范畴,提出了一种基于静态多小波变换的图像融合方法。通过对源图像进行SMWT,根据变换系数的尺度内多子带联合窗口特性,实现多源图像的融合。

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He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后,在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加,包括肾小球病和球外疾病等。

Pagans and partygoers greeted the summer solstice at the ancient stone circle of Stonehenge.

异教徒和社交聚会常客在史前巨石柱的古老的石圈附近庆祝夏至。