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基频与通频的正则扩大。Orthonormal expansions at baseband and passband.

同时构造该核特征空间的一组正交基。And an orthonormal basis of the kernel feature space is constructed.

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那么该多尺度分析必须有正交尺度函数。Then that multiresolution must have an orthonormal scaling function.

通过样条函数构造小波正交基是常用的方法。Constructing orthonormal wavelet bases from splines is a method used often.

最后，给出了利用矩阵值小波包来进行分解与重构的一般公式。And we go through the properties of orthonormal matrix-valued wavelet packets.

提出了一种改进型正交有限脊波分析的图像去噪算法。One kind of Modified Orthonormal Finite Ridgelet Transform was brought forward.

正交基在L2，勒让德多项式，三角函数的基础。Orthonormal basis in L2, Legendre polynomials, basis of trigonometric functions.

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你应该知道什么是正交矩阵以及求它的逆的简单方法。You should know what an orthonormal matrix is and a shortcut to compute its inverse.

正交紧支复小波的生成及其在电力系统的应用。Complex compactly-supported orthonormal wavelets and their applications in power system.

最后利用变换后的标准正交小波级数逼近传递函数。Finally the transfer function is approximated by use of the transformed orthonormal wavelet series.

本文通过条件实验和正交试验对硫酸盐锡铋合金电镀液配方进行了改进。The bath formula of Sn-Bi alloy electroplating was improved by condition experiment and orthonormal test.

紧支集正交小波、样条小波和双正交小波等都是利用滤波器组来构造的。Compactly supported orthonormal wavelet, compactly supported biorthogonal wavelet, and B spline wavelet, etc.

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给出了由单小波构造二元正交多小波的两种方法。Two construction methods for orthonormal multiwavelets with multiplicity 2 based on scalar wavelets are given.

本文将机器视觉与数字图像处理技术引入到织物疵点检测中，提出了一种织物疵点检测算法——图像距离差算法。A method of fabric defect detection based on double-deck orthonormal wavelets has been developed in this paper.

带正交子波基由于所具有的优良特性得到了广泛关注。In recent years, M-band orthonormal wavelet bases, due to their good characteristics, have attracted attention.

论述了基于正交多分辨分析理论的神经网的函数逼近。This paper describes function approach of neural network based on the orthonormal multiresolution analysis theory.

模型中将炮管处理为运动支撑上的悬臂梁，取其前N阶正则模态计算炮管各断面中心的变形和转角。Elastic deformation of the barrel is calculated by means of the preceding N orthonormal modals of the cantilever beam.

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最后还给出类似于小波的小波紧框架的分解与重构算法。Finally, we can derive the decomposition and reconstruction formulas that are similar to those of orthonormal wavelets.

我们证明了，在非交换条件下，能够选择标准正交基向量成为任何固定序的酉算子。We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order.

同时应用二阶平衡法构建出相应的预滤波器，并给出两个二尺度正交多小波算式。By introducing 2-order balance algorithm to construct a pre-filter, two two-scale orthonormal multi-wavelets were given.