变换的

The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是：利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域，从而避免了纯数值技术对复杂边界的离散化误差，降低了后期数值计算的算法复杂度，并提高了计算效率。

The main jobs of the paper are as follows, Multi-scale decomposition and reconstruction of wavelet transform is utilized to filter the noise of negative-pressure-wave, which is brought by leakage. With the capacity to detect the signal singularity quickly and accurately, wavelet transform was used to catch the break point of pressure signal. Accordingly, the work improved the location accuracy.

主要研究工作有：利用小波变换的多分辨率分解和重构技术，对采集到的管道泄漏产生的负压波信号进行消噪处理，并对几个影响消噪质量的关键因素及其选取方法进行了分析；再利用小波变换技术对信号奇异点的快速、准确的识别能力，对经消噪后的负压波信号进行奇异点捕捉，从而实现更精确的单条燃气管道泄漏定位。

Because the temperature along the pipeline is not a constant, it changes the velocity of the negative-pressure-wave; the Romberg algorithm of numeric integral and the searching for algorithm are emloyed to locate the leakage.Multi-scale decomposition and reconstruction of wavelet transform is applied to filter the noise of negative-pressure-wave, which was brought by leakage. With the capacity to detect the signal singularity fast and accurately, wavelet transform was used to catch the break point of pressure signal. The work improved the accuracy of Δt in location formula, and the location accuracy is improved.

利用小波变换的多分辨分析和重构技术，对采集到的管道发生泄漏时产生的负压波信号进行了消噪处理；并利用小波变换技术对信号奇异点快速、准确的识别能力，对经过消噪处理后的负压波信号进行了奇异点捕捉，准确确定了定位公式中上、下游站点采集到的负压波奇异点的时间差△t，从而提高了定位的精度。

It employs the complex-valued step function to build neural model, then constructs network structure and decides the number of neurons; it adopts complex-valued Hebbian rules and inner product way to calculate the net weight matrix; then it analyzes the convergence of the network by taking advantage of the definition of energy function. In the image pre-processing stage, 2-dimensional Fourier Transform and Euler's formula are used, respectively, to transfer a gray-scaled image into phase information needed by the complex-valued neural network when stores the traffic sign. In the image post-processing stage, phase inverse transformation is used to change the phase image to gray-scaled image.

采用复数阶跃函数构建了神经元模型，建立了复数Hopfield神经网络结构，并且确定了网络中神经元的个数；借助复数Hebbian学习规则和复数内积法给出了网络权值的确定方法；借用复数网络能量函数的定义，说明了复数识别网络的收敛性；在前期的图像数据处理部分，分别使用离散二维傅里叶变换和欧拉公式，给出了将灰度图像数据转化为复数网络所需要的相位信息的方法，实现了网络对路牌的记忆存储；在后期的图像还原部分利用相位逆变换的方法，实现了相位图到灰度图转化。

On the basis of the definition of the extraordinary Radon transform, the theory of rebuilding image from extraordinary Radon transform result is proposed, and some category such as image structure notation, topology of image structure notation and topological space, homeomorphism in topological space, equivalence of homeomorphism relation, topological constant of image structure notation.

与现有的基于区域内部或外形变换的形状分析方法相比，在理论方法上本质不同的是，本文提出的广义Radon变换，直接将原始的图象数据影射到特征空间，给出图象构图特征的描述，给出了可以用来进行图象检索或图象识别的结构特征谱。

The diffusion structure has important impact on the rate of the diffusion and safety intensity for block cipher.Using the linear transform which has branch numbers as large as possible as the diffusion structure is a main method to devise block cipher.The linear transform is usually achieved by constructing the invertible matrix.

扩散结构的好坏直接影响了分组密码的扩散速度和安全强度，以分支数尽可能大的线性变换为分组密码算法的扩散结构是设计分组密码的一种重要方法，线性变换的构造可通过可逆矩阵的构造完成。

Its decompression architecture requires only a finite state machine and a cyclical scan register whose length is the same as that of the data block. Compared to the length of the cyclical scan register required in Golomb and FDR codes, which is equal to the length of the test vector, hardware cost in the proposed method is less than that in Golomb and FDR codes.

测试源划分技术是解决这一问题的主要方法，它是将ATE中的部分测试功能转移到被测试的芯片上，芯片之外主要建立一个经过变换的测试数据存储源，以减少测试数据的传输，同时在芯片上又不需要花费太多的硬件执行数据变换，实现测试模式的生成。

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

WHMM is a statistical model in wavelet domain of stochastic signals, which integrates wavelet transform into hidden markov models . According to the locality, multiscality of wavelet transform and context-sensitive property of HMM, WHMM can not only characterize precisely the local feature of object multiscally, but also reflect accurately the full structure information of object. So it is a powerful tool which deals with noise, shape similarity and part occlusion in ATR, and finds its full application in recognition system of moving vehicle.

小波隐马尔可夫模型是小波变换与隐马尔可夫模型相结合的一种小波域随机信号的统计模型，它有机地融合了小波变换的局部分析性、多尺度性和隐马尔可夫模型的上下文相关性，不仅能多尺度地精确刻画目标的局部特征，还能准确地反映目标的整体分布信息，从而成为解决目标识别中受噪声、形状相似、部分遮挡等问题的最有力的工具之一。

In this paper, we first discuss some basic theories about wavelet analysis, including some definitions about wavelet analysis, multi-resolution analysis, the decomposition and reconstruction algorithm of wavelet transform, orthonormal wavelet decomposition of the signal, and a few important properties of wavelet transform.

本论文中，我们首先讨论了小波分析的基本原理，包括了小波分析的基本概念，多分辨分析，小波变换的分解算法和重构算法，信号的正交小波分解，以及小波变换的几个相关的重要性质，这些都是我们进行研究和应用的基础。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。