转换后的矩阵可以直接利用多维高斯变换，而不用将两维的高斯变化多次使用。
The proposed method is able to construct an ambiguity transformation matrix directly using high dimensional Gauss-transformation instead of using two- dimensional Gauss-transformation repeatedly.
结果表明，在一般情况下，几何光学模型不能描述高斯光束经这种透镜的物像变换。
It is shown that the geometrical optics model can not be used to describe the object-image transformation of Gaussian beam through the lens under the general case.
本文采用矩阵光学的方法，分析了高斯光束经球端面抛物型梯度折射率棒透镜的传播与变换特性。
Based on the matrix optics, the propagation and transformation characteristics of Gaussian beam through a parabolic gradient-index rod with the spherical end surfaces are analyzed.
文章对算法进行了详细的理论分析和推导，实验结果进一步验证了用广义高斯分布描述图像小波变换系数统计特性的合理性。
The algorithm is analyzed in detail, and experiment result again shows that the distribution of image wavelet transform coefficients can be well modeled using the generalized Gaussian distribution.
本文导出了高斯光束通过非线性抛物形梯度折射率棒透镜的变换公式。
The transformation formulae of Gaussian beams through a nonlinear parabolic graded index rod lens are derived.
比较了基于广义高斯分布近似和非线性变换(NLMIR)的两种最小互信息盲接收算法。
Minimum mutual information blind receiver that based on approximated generalized Gaussian distribution (GGMIR) and that use nonlinear transformation (NLMIR) are compared.
通过高斯光束在乎面平行腔中往返变换，计算了光泵远红外波导激光器中泵浦吸收、损耗与波导谐振腔结构参数的关系。
The relations between pump absorption losses and the waveguide cavity configuration parameters are calculated based on the Gaussian beam transformation in the plane-parallel resonator.
本文利用部分相干理论研究了高阶厄米-高斯光束通过随机位相片的变换。
The transformation of Hermite Gaussian laser beam through random phase plate is discussed in detail by partial coherence theory in this paper.
以高斯光束的变换为例，推导出了一个表示为初等函数之和的近似解析传输公式。
The transformation of Gaussian beams is taken as an example, an approximate analytical propagation expression in terms of a sum of elementary functions is derived.
改进后的方法使用方差不变性变换来调整原始图像为高斯噪声模型。
The method uses the Anscombe's transformation to adjust the original image to a Gaussian noise model.
后者直接应用广义s变换的时频谱实现，用于含高斯白噪声信号的滤波，达到了突出有效信号和压制噪声的效果。
Another applied in filtering signal containing Gaussian white noise is computed directly by utilizing time-frequency spectrum of GST, which can enhance non-stationary signal and suppress noise.
根据这一结论，光束在某些满足一定条件的充满增益或损耗介质的高斯反射镜腔的传输，可以视作连续的复数阶傅立叶变换过程。
The beam propagation between two Gaussian reflectivity mirrors filled with gain medium can be regarded as a complex-order Fourier transform process.
利用中值滤波和基于小波变换的去噪声处理对同时含有高斯噪声和脉冲噪声的X线图像降噪方法进行探讨。
This paper evaluated median filter in company with wavelet transformation to process X-ray image that contained Gauss noise and impulse noise at the same time.
本文利用光束变换公式分析了高斯光束通过望远镜系统的传播，讨论了最大扩束比问题。
In this paper, the propagation of Gaussian beams in a telescope system is analysed by using beam transformation formulas. The maximum beam expanding ratio is discussed.
文中用逼近法和双线性变换法，设计了用于圆度测量的高斯数字逼近滤波器，并给出了零相移的递归滤波算法，计算量小，计算效率高，易于实现。
A series of Gaussian digital approximation filters used in roundness measurement were designed on the basis of approximation method and bilinear transformation.
在研究中发现正形变换法在进行高斯投影换带时既有精度最佳区域又有精度异常区域存在。
The fact, that when the shape-maintained equation being used to change band of Gauss Projection there exists the best precision area as well as precision abnormal area, is discovered.
在高斯光束变换中引入牛顿公式，使透镜变换公式更加简洁、直观。
The lens transformation formula was made more simply and intuitionistic importing Newtonian formula to Gaussian beam transformation.
该文利用小波包变换的时频局部分析能力，研究了非高斯分布平稳随机噪声的统计特性，揭示了非高斯噪声信号的信号结构。
By exploiting wavelet packet transform to analyze signals both in time and frequency space, this paper researches the statistic property of non-Gaussian stationary noise and its signal structure.
从特征值处理和模型补偿两方面考虑，提出了基于高斯混合模型的加权特征补偿变换的抗噪声方法。
Based on feature processing and model compensation, a weighted features compensation transformation method based on GMM for robust speaker verification was proposed.
根据透镜对高斯激光束束宽的变换原理，提出了一种由变换前后发散角的变化确定透镜焦距的新方法。
A new method of measuring the lens focus is presented, which is based onthe principle of transformation of the Gauss laser beam.
并用相似变换法将GPS接收到的WGS-84大地经纬度高斯投影后强制转换统一，以实现坐标匹配。
And analogue transformation were implemented to uniform the GPS received WGS-84 geodetic coordinate, to realize the coordinate matching.
本文在前人工作的基础上，研究了基于小波变换和高斯混合模型(GMM)的病态嗓音识别系统。
Based on the work of predecessors, the paper has studied on the system of pathological voice recognition based on the wavelet transformation and Gaussian mixes model (GMM).
本文将小波包变换用于非高斯噪声统计特性的研究，提出一种新的非高斯分布噪声下的信号检测算法。
In the dissertation, it puts wavelet-packet decomposition into the study on non-gaussian noise. It offers a new signal dection method under non-gaussian noise backgroud.
并利用共轭、互易、反演点对变换方法图解高斯光束传输变换特性。
The conceptions of conjugation, exchange and inverse evolve point pair are used to explain the transformation properties of Gaussian beam.
在求解扩散项和投影项时，采用隐式的求解方法，例如高斯—塞德尔迭代法、快速傅里叶变换。
An implicit method is employed in solving diffusion term and projection term, such as Gauss-Seidel iteration method, Fast Fourier Transform.
针对离散余弦变换（DCT）系数分布模型类型存在的异议，研究并比较了拉普拉斯模型和广义高斯模型。
There is no consensus on the distribution of the AC DCT coefficients till now. In this work, the generalized Gaussian model and the Laplacian model, which are used most widely, were studied.
研究了采用扭转柱面镜光学系统将厄米-高斯光束变换成为具有轨道角动量的拉盖尔-高斯扭转对称光束。
The transfer of orbital angular momentum during beam transformation was analyzed using beam transforming matrix and Collins integral.
根据能量守恒原理， 推导了高斯光束整形系统中任意光线在入射面与出射面的坐标变换关系。
The relationship of coordinate transformation of arbitrary rays in an incident plane and an image plane was deduced based on the law of energy conservation.
阐述高精度激光准直系统的总体构成及特点，着重分析高斯激光束经过薄透镜的变换规律、最佳准直区域以及激光准直光学系统的设计思路。
The commutation rule and the optimal collimation area are analyzed when Gauss light beam passes thin lens, and the design principles of the collimator are given.
分析像散椭圆高斯光束的传输变换特性，推导出半导体激光束的像散校正与旋转对称化变换公式。
In view of the above, the transformation properties of astigmatic elliptic Gaussian beams are analysed overall, the exact formulas of correcting astigmatism and rotary symmetrize transformation.
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