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An improvement is made to the multi-user Prolate Spheroidal Wave Functions IR UWB orthogonal pulse waveforms design.

对多用户椭球波函数脉冲UWB正交波形设计方法进行了改进。

The analysis results of these shift orthogonal functions in GSM channel, which is compared with that of conventional shaping filters such as square root raised cosine functions, show that it has better performance.

最后通过与常用的平方根升余弦函数波形在GSM信道中的数值解比较，说明了基于小波包函数的移位正交传输波形优于传统的波形。

An algorithm for constructing a class of symmetric-antisymmetric orthogonal refinable functions with multiplicity 2r is presented.

给出一类重数为2r的正交对称-反对称多小波的构造算法，即对任给长度为2N的对称-反对称正交多小波，通过本文所给的构造算法可以得到长度为2N+1的对称和反对称多小波。

With the consideration of the need of frequency spectrum analysis to geometry information, a new method to reconstruct graphic groups in CAGD is proposed with a new class of complete orthogonal functions in L\-2［0,1］(called V-system).

考虑到几何信息频谱分析的需要，采用L\-2［0，1］上一类新的完备正交函数系，针对CAGD中的几何图组，给出一类信息重构方法。

By using a switch in proper time, the front and lagging edges of pulse can be cut off, so that the seperated Walsh subcarriers are obtained, they are the orthogonal functions ...

而误差的主要来源是射频通道非线性引起的交叉干扰，但在目前射频通道的一般水平上交叉干扰最大值小于5％，这已满足一般的工程要求。因此SDM作为一个与FDM和TDM相平行的多路复用系统是完全能用于遥测中的。

For the better approximation of segmented regions, the Gram-Schmidt method, by which a group of orthogonal base functions is constructed from a group of linear independent initial functions, is adopted.

然后，为了有效的近似各分割区域图像，本文采用施密特正交化方法，从一组线性独立的初始函数构造一组正交基函数。

In order to improve the redundancy and computing capability of S transform, a more efficient representation is introduced, by introducing an orthogonal set of basis functions that localizes the spectrum and retains the advantageous phase properties of the S-transform.

为了改善S变换的冗余度，提高S变换的计算能力，研究了S变换的一种有效表示。通过引进一组正交基函数来局部化频谱，并保留S变换相位特性上的优势。

However, the orthogonal properties of wave functions can not be used to simplify the boundary conditions when the spring coefficient in the interface spring model is inhomogeneous along the circumference.

在弹簧界面模型中，当弹簧系数沿周向分布均匀时，可利用波函数的正交性简化边界条件；当弹簧系数沿周向分布不均匀时，不能利用波函数的正交性简化边界条件。

In this algorithm, first, the nonlinear kernel mapping is used to map the face data into an implicit feature space, and then a linear transformation which produces orthogonal basis functions is performed to preserve locality geometric structures of the face image.

该算法首先利用核的方法提取人脸图像中的非线性信息，并将其投影在一个高维非线性空间，在保证各向量正交的同时，通过局部保持投影算法做一线性映射，从而更好地提取人脸非线性局部邻域结构特征。

In the frame of Random Matrix Theory,the statistic functions of therandom orthogonal unitary vectors are calculated.It is shown that their means andfluctuations will tend to zero with the increase of N,while following thescaling laws.

在随机矩阵理论的框架内，我们数值地计算了随机的正交归一矢量的这两个统计函数，发现它们的平均值和涨落随N(N＝1/h)的增大而趋于0，并且有明显的标度关系。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新