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Especially, the generalized matrix is extremely important in singular linear ordinary differential equations systems and the solution of singular difference equations systems.

特别地，这种广义逆矩阵在奇异线性常微分方程组以及奇异差分方程组求解问题中有重要的应用。J.H。

The application of H〓 control theory in robust control of sonar array servo system is studied in the thesis. The solution of singular H〓 control problem is investigated deeply, and the problem of sonar array servo system's generalized system being singular is solved. Numerical simulation is carried through at last.

本文还对H〓控制理论在声纳基阵伺服系统鲁棒控制中的应用进行了理论研究，对奇异H〓控制问题的解法进行了较深入的研究，并解决了猎雷声纳基阵伺服系统增广系统为奇异控制对象的控制问题，最后进行了数字仿真。

Last, this paper introduced some concepts of multiscale geometrical analysis and curvelet transform theory. Because curvelet can showed this feature more 'sparsely' in the function included singular curve or singular side in two dimension space or multi-dimension space. This paper provided a robust digital watermarking technology algorithm based on curvelet transform. watermarking information was embedded into coarse scale coefficients after curvelet transforming, choose right embedding strength. Testing proved it has good invisibility and robustness.

最后，介绍了多尺度几何分析和曲波变换理论的相关概念，鉴于曲波能对二维乃至高维空间中含奇异曲线或者曲面的函数进行更"稀疏"地表示这一特性，本章提出了一种基于Curvelet变换的鲁棒数字图像水印算法，该算法将水印信息嵌入到经曲波变换后的图像的粗尺度系数中，合理选择的嵌入强度，试验表明该算法具有较好的隐蔽性和鲁棒性。

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

Aimed at increasing the accuracy and speed of BEM, meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM, surface BEM character and multipole BEM delaminating and storing technology, and put forward high precision fast BEM. And appling this method the electric potential and electric field intensities distribution of the UHV insulators are calculated preliminarily.

本论文以提高边界元的精度和计算速度，降低计算机内存占用为目标，研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术，提出了高精度快速边界元法，并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

Aimed at increasing the accuracy and speed of BEM , meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM , surface BEM character and multipole BEM delaminating .

本论文以提高边界元的精度和计算速度，降低计算机内存占用为目标，研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术，提出了高精度快速边界元法，并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

Using wavelet transformation technology, singular value decomposition technology and good characteristics of Morlet wavelet in time domain and frequency domain, a de-noising method based on optimal Morlet wavelet and singular value decomposition is put forward.

利用小波变换技术、奇异值分解技术和Morlet小波良好的时域和频域特性，提出了基于最优Morlet小波和SVD的滤波消噪方法。

A singular value and singular vector blind multiuser detector is proposed in this paper.

提出了一种基于奇异值和奇异向量的盲自适应多用户检测方法。

The singular value vector of face image is analyzed and its nature is revealed,i.e.,the singular values of face image are obtained by decomposing the face in the special basis space that is determined by the face image.

通过对人脸图像奇异值的分析，证实了图像奇异值是图像在特定基空间分解得到的，这个基空间是由图像本身决定的。

The image matrix is transformed into vector by singular value decomposition. The angle between singular vectors of the original image and the distorted image is used to measure the image quality.

考虑原始图像和畸变图像尺寸不一致的情况，提出了用奇异值分解把图像矩阵转为向量，用奇异值向量之间的夹角作为图像的质量评价指标。

After explaining total design of automated test system for microcircuit , the thesis introduces GPIB standard .

文章在说明了微电路模块自动测试系统的总体设计后，对GPIB标准进行了介绍。

He interceded in my behalf.

他替我说情。