查询词典 wavelet

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

Fifthly, the conception and the method of image compress is dissertated, also discusses the conception of wavelet transformation、continuous wavelet、discrete wavelet and multi-resolution analyses、Mallat algorithm, and do further research on the characteristic of wavelet images、the choice of wavelet bases and the continuation of image border, and based on this work, the way of freight train images compression combined with the wavelet and JPEG is put forward.

第五，论述了图象压缩的概念、方法，对小波变换的概念、连续小波、离散小波以及多分辨率分析、Mallat算法进行了讨论，并对小波图象的特点、小波基的选择以及图象边界的拓延进行了深入研究，在此基础上提出了小波和JPEG相结合的货车图象压缩方案。

According to the feature of the SARS Chest Radiographic Images, the wavelet analysis method is put forward to dispose the SARS images and the wavelet coefficients are picked up. After the wavelet threshold noise reducing and the wavelet threshold enhancing disposure to the each of the wavelet coefficients, the clear images are reconstructed at last.

摘 要：通过对非典型肺炎的胸部 X 线图像的特征分析，提出采用小波分析方法，对图像做小波变换，提取各层小波分解系数，利用阈值法对各系数作去噪预处理，然后再利用阈值法对各系数做衰减或增强处理，最后重构出清晰图像。

This dissertation focuses on the spherical wavelet expansion of the earth gravity field and its application. Based on the concept of the integration approaches and radial basis functions the spherical wavelet is put forward, with that the earth gravity field is described in a new way, and some other researches are conducted, they are: spherical wavelet regularization, multiscale approximation of satellite gravity measurement, down continuation of airborne geavimetry data, the least squares properties of geopotential wavelet approximation, the spherical wavelet solution of two kinds of BVP and spherical selective multiscale reconstruction.

本文围绕地球重力场的球面小波展开及其应用进行研究，在积分逼近与径向基函数概念的基础上引入了球面小波，利用球面小波对重力场展开进行了重新表示，在此基础上进行了球面小波正则化、卫星重力多尺度逼近、航空重力数据向下延拓、重力场球面小波逼近的最小范数性质、两类边值问题的球面小波实用解、球面选择多尺度去噪方法等方面的研究。

In this paper, we first discuss some basic theories about wavelet analysis, including some definitions about wavelet analysis, multi-resolution analysis, the decomposition and reconstruction algorithm of wavelet transform, orthonormal wavelet decomposition of the signal, and a few important properties of wavelet transform.

本论文中，我们首先讨论了小波分析的基本原理，包括了小波分析的基本概念，多分辨分析，小波变换的分解算法和重构算法，信号的正交小波分解，以及小波变换的几个相关的重要性质，这些都是我们进行研究和应用的基础。

The uniform approximation of normal wavelet neural network and the robust analysis of wavelet neural networks of the combination of Sigmoid function are detailedly introduction; Multiple model failure detection based on wavelet neural network is demonstrated detailedly; At last, the failure diagnosis results of aerocraft is present seperately by employing wavelet neural network and BP neural network, and the fault diagnosis of areocraft system by wavelet neural network is achieved.

论文以小波神经网络为研究对象，提出了一类新的加权小波基，分析证明了加权小波基的诸多良好特性；对于常见小波神经网络的一致逼近特性、S型函数组合小波神经网络的鲁棒性分析、多模型小波神经网络的故障检测等问题给出了详细的论证；最后，针对歼击机的常见故障问题，分别给出了应用小波神经网络和BP神经网络的故障诊断结果，实现了小波神经网络对飞机系统的故障诊断。

At the second place, feasibility of edge detection based on orthogonal wavelet is discussed in the article. Its theoretical key of edge detection based on orthogonal wavelet that approximate symmetrical or antisymmetrical orthogonal real wavelet can be constructed though Haar wavelet is the only symmetrical or antisymmetrical orthogonal real wavelet.

随后本文讨论了正交小波基用于边缘检测的可行性：虽然除了Haar小波外再也找不到对称或反对称的正交实小波，但是可以构造出近似对称或反对称的正交实小波，这就是正交小波用于边缘检测的理论关键。

This paper focuses on the construction of true bidimensional wavelets by lifting scheme and the relevant image coding. We research the nonseparable bidimensional interpolator designed by different standards, carry out the true bidimensional wavelet decomposition and improve the SPIHT coding in order to adapt to the characteristic of true bidimensional wavelet decomposition. It is proved by experiments that the subjective and objective quality of binary tree SPIHT on true bidimensional wavelet decomposition is better than famous 9/7 wavelet under the condition of low bits compression.

本文以基于提升格式的纯二维小波滤波器组的构造为中心，研究了不同类型的二维不可分离内插滤波器，实现了图像的纯二维小波分解，并改进了SPIHT编码算法，使其适合纯二维小波的分解特点，实验证明在低比特压缩下，纯二维小波分解的二叉树SPIHT在主观和客观质量上要好于著名的9/7小波。

Secondly, Pre-emphasis is used to improve the high boost in WWF algorithm. In the same way, using an effective frame regrouping precept improve frame overlapping and regrouping, designing an new SH window to window function's design, selecting coif wavelet as the analysis wavelet basis to wavelet basis's selection, discarding the unvoiced frames by threshold-wavelet transform to unvoiced/voiced frames' distinguish, and solving the wiener gain by the fake cepstral subtraction to Wiener gain's getting as well.

采用进行预加重处理、设计有效的帧重组方案、自定义SH窗、选用coif小波作为分析用小波基、采用加阈值小波变换法去除清音帧，和基于伪倒谱相减法求解维纳滤波增益系数等方法，分别对模型中高频提升、帧重叠与重组、窗函数设计、小波基选取、清浊音判别及维纳滤波增益系数获取等实现细节进行研究和改进。

Secondly, brief to introduce Wavelet Transform definition. Mallat algorithm, two-dimensional wavelet decomposability of image and orthogonal wavelet decomposability. And the zero tree structure of image wavelet transform.

其次，简要介绍了小波变换的定义、Mallat算法、图像的二维正交小波分解以及图像小波变换的零树结构。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。