本文给出构造紧支撑三元不可分正交尺度函数和正交小波函数的新算法。
In this paper, we give a new algorithm of construction compactly supported trivariate orthogonal scaling function with dilation matrix 21, at the same time, the correspond wavelets are also given.
根据分层吉布斯随机场模型，采用小波函数分级拟合均值曲面，提出了二值化方法。
By using the multi resolution analysis to interpolate the mean values based on hierachical model of Gibbs random field, a method for binary sketch of grey imagre was proposed.
梯形小波函数具有平坦的频率特性，因而梯形小波变换较容易捕捉到信号的频率偏移。
By comparison with other wavelet functions, trapezoid complex wavelet function has even frequency characteristic, and so trapezoid complex wavelet transform easily catch frequency deviation.
小波函数是具有时域和频域良好局部化特性的函数，理论上可以用于非整次谐波的检测。
The wavelet function is such a function which possesses good localization characteristics, so theoretically it can be applied to the detection of non-integer harmonics.
波形匹配是信号与小波函数匹配的一种，它与能量匹配各有特点，其适用范围各不相同。
Waveform matching is included in the matching between the signal and wavelet function. Compared with the energy matching, it has its own characters and is used in some specific domains.
自适应小波神经网络检测法就是利用小波函数取代通常神经网络中隐层的作用函数来实现的。
Adaptive wavelet neural network intelligent detection is a method in which the wavelet function substitutes for the activation function of hidden layer in the neural network.
本文给出构造矩阵伸缩为2i的紧支撑二元正交尺度函数的一种算法，得到相应的小波函数。
In this paper, we give an algorithm of construction compact support bivariate orthogonal scaling function whose dilation matrix is 2i, the correspond wavelets are also offered.
通过选用六种不同的小波函数，对柴油机喷油系统压力波信号的时频特性进行了小波分析研究。
In this paper, six wavelet functions were selected for the analysis of time-frequency characteristics of the pressure wave signal in fuel injection system of a diesel engine.
立足于小波的构造，比较深入地探讨了尺度函数和小波函数的两尺度符号与小波构造的紧密关系。
Basing on the construction of wavelet, discuss the close relation between the scaling function and wavelet function's two scale symbol and wavelet construction.
从多分辨分析（MAR）出发，介绍了正交样条小波函数的构造方法，并讨论了小波函数的衰减性。
Starting with the multiresolution analysis (MAR), a method to constructing orthogonal spline wavelets is introduced and the exponential decay of them is discussed in this paper.
研究结果表明：选用不同的小波函数对同一压力波信号进行时频特性分析时，得出的结果是有差别的。
The results showed that when different wavelet functions were used to analyze the same pressure wave signal, the differences could be found between each other.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
然后利用正交多分辨率分析，给出由该尺度函数构造的一类频带有限的M进制正交小波函数的必要条件。
Next, by the orthogonal multiresolution analysis, the necessary conditions of a kind of M-band band-limited orthogonal wavelet function constructed by the scaling function are proposed.
计算结果表明，小波函数与三角级数相比，可以更好地描述控制函数的急剧变化，并使计算效率显著提高。
Computational results show that compactly supported wavelets can represent abrupt changes in control functions better than trigonometric series and considerably increase computational efficiency.
文章构造性的证明了改进提升系数能增加小波函数的消失矩，而消失矩的增加意味着能获得更好的能量集中特性。
It proves that the improved lifting coefficient can add to the vanishing moment of the wavelet function in a constructed way, and the adding means to a more centralized energy property.
小波神经网络可以看作是以小波函数为基底的一种函数连接型网络，也可以认为是径向基函数(RBF)网络的推广。
Wavelet neural networks can be regard as not only the function-linked networks based wavelet function, but also the extension of Radical basis function (RBF) networks.
针对F I r正交滤波器方法的缺点，本文根据函数逼近理论，在理论上，证明了正交小波函数可以最佳一致逼近理想滤波器。
After deficiencies of the FIR based orthogonal filter are analyzed, this paper, based on function approximation, theoretically proves that orthogonal wavelets can best approximate the ideal filters.
本文把小波函数引入离散数据拟合领域，将小波函数与数据拟合的常用方法——最小二乘法相结合，给出了一种新型的数据拟合工具。
Both the wavelet functions and the least square algorithm of fitting of data are used to construct a new method of fitting of curve and surface.
以二次光滑小波作为小波函数，对水果红外图像进行二维二进小波变换，计算了小波变换结果的局部模极大值点，从而得到了水果红外图像的轮廓。
A quadratic lubricity wavelet as wavelet function was defined to do the two dimensional dyadic wavelet transform on fruit infrared image, and to get local modulus maxima from the results.
提出了小波函数和普通函数内积数值计算的外推加速算法，给出了外推加速算法的可行性保障定理。结果表明此算法的收敛速度较快， 得到的近似值的逼近效果较好。
In this paper, we give an extrapolation method for integral with wavelet. Theorem can ensure it is possibility. The result show that the method converge quickly, and the approach effect is very good.
如果它足够小，那么它的波函数也会穿越对它足够大的空间而传播，在同一时刻穿过一个以上的缝隙。
If it is small enough, then its wave function will also spread out over a space large enough for it to penetrate more than one slit simultaneously.
相反，如果我们考虑一个波函数，然后用n,l,m小标l，还有自旋，我们描述的是什么？
In contrast, if we're taking the wave function and describing it in terms of n, l, m sub l, and now also, the spin, what are we describing here?
相反，如果我们考虑一个波函数，然后用n,l,m小标l，还有自旋，我们描述的是什么？
In contrast, if we're taking the wave function and describing it in terms of n, l, m sub l, and now also, the spin, what are we describing here?
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