查询词典 transform

At present,the research of digital watermarking focused on discrete fourier transform domain, Discrete cosine transform domain, Discrete wavelet transform domain and others, but its robustness need to be improved.

目前，对于频域数字水印技术的研究主要集中于离散傅里叶变换域、离散余弦变换域和离散小波变换域等，但其鲁棒性能都有待提高。

Adaptive filtering ; time-domain LMS ; discrete Fourier transform ; discrete cosine transform ; discrete wavelet transform

自适应滤波；时域LMS ；离散Fourier变换；离散余弦变换；小波变换

The JPEG standard algorithm ; arithmetic fourier transform; discrete cosine transform; fast discrete cosine transform

JPEG标准算法；算术傅立叶变换；离散余弦变换；快速离散余弦变换

Then, the concept of frequency warping is then extended to discrete Fourier transform, discrete cosine transform and discrete wavelet transform, i.e., applying the idea of nonuniform frequency resolution to these common transforms.

接著，我们将频率变形的概念延伸离散傅立叶转换、离散余弦转换以及离散小波转换，把不均匀频率解析度的原理应用在这些讯号处理常使用的转换式上。

A complete set of image processing and recognition of the source code This is our internal development and use of a image processing code, includes the most image processing and recognition processing function : as template transform, Image smoothing, sharpening, edge recognition, image filtering and fuzzy images, image inverse filtering, fuzzy image noise increases, Wiener filter images, linear transformation, gray tensile, histogram equalization, images corrosion, expansive images, image open operation, GIF correct coding, zooming, rotation, fast Fourier transform, discrete cosine transform, and so on and so forth, that is too many.

详细说明：一套完整的图像处理与识别的源码这是我们内部开发与使用的一套图像处理代码，里面包括了大部分图像处理与识别处理的的函数：像模板变换，图像的平滑、锐化、边缘识别、图像中值滤波、图像模糊、图像逆滤波、图像模糊加噪、图像维纳滤波、线性变换、灰度拉伸、直方图均衡、图像腐蚀、图像膨胀、图像开运算、GIF确码编码、缩放、旋转、快速付立叶变换、离散余弦变换等等，等等，太多了。

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域，将山区格网DEM高程值视为广义坐标下的离散随机序列，把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题，不仅大大减少了小波变换边界失真区域，提高了重构DEM数据边界点的精度，而且减少了边界补零个数，提高了压缩比；通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析，采取了霍夫曼—游程混合熵编码方案，设计了高效、低失真的"自适应硬阈值"量化器，即对低频区变换系数不进行量化，直接进行霍夫曼编码；对高频区变换系数则先用"自适应硬阈值"方法量化处理，再进行游程编码。

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。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。