利用双正交小波基将齿轮的故障振动信号分解到时频域，并提取出齿轮的故障特征。
This paper mainly introduces that the fault vibrating signal of gears was decomposed into time-frequency domains by double-orthogonal wavelet analysis and the fault feature of gears was picked up.
实验证明该方法的去噪效果明显优于正交小波方法和普通双正交小波变换的去噪效果。
The experiment results show the de-noising effect of proposed method is better than those of the orthogonal wavelet transform and the common biorthogonal wavelet transform.
第四章详细地讨论了利用区间双正交小波，根据小波分解和重构来提取图像的边缘特征的一种新方法。
The fourth chapter discusses in detail a novel method for edge feature detection of images based on wavelet decomposition and reconstruction by means of interval biorthogonal wavelet.
本文研究尺度滤波器的基本分解问题。基于所得结果，对于任意给定的尺度滤波器，给出了双正交小波矩阵的构造方案。
In this paper, the factorization of scaling vector filters into prime factors is considered. A construction of bi-orthogonal wavelet matrix with pre-asigned scaling filter is given.
本文在研究了小波变换理论的基础上，主要做了如下工作：1、由于双正交小波的线性特性，其广泛应用于图像处理领域。
We studied the theory of wavelet, and introduced the main work as follow: 1, Because of its linear properties, the biorthogonal wavelet has wide application.
相位信息是电力系统的一个重要特征，正交或双正交的复小波是实时提取电力系统中相位信息的有力手段。
Phase information is one of emphasis characters in the power system orthogonal or biorthogonal complex wavelet is strong means to extract phase information in the power system in time.
针对遥感图像的数据特点，提出了结合双正交变换和SPIHT算法的遥感图像小波零树编码方案。
A new remote sensing image coding scheme based on the biorthogonal wavelet transform and SPIHT algorithm is proposed according to the statistical characteristic of remote sensing image data.
对一般的双正交多小波系统，给出了阶平衡的较为简单的定义，并将预滤波理论引入双正交多小波滤波器组。
For common biorthogonal multi-wavelets system, a simple definition of balancing of order is proposed, and the prefilter theory is introduced to biorthogonal multi-filter Banks.
本文介绍正交多小波、双正交多小波、半正交多小波的构造方法，以及多小波在信号处理方面的应用。
The main purpose of this paper is to introduce the construction of orthogonal, biorthogonal and semi orthogonal multiwavelet and the application of multiwavelet to signal processing.
通过将多分辨分析扩展到多进小波的办法，本文也构造了一个具有双对称性、紧支撑集和高阶消失矩的4-进正交小波类。
By extending the theory of multi-resolution analysis to multi-bank wavelets, this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets.
通过将多分辨分析扩展到多进小波的办法，本文也构造了一个具有双对称性、紧支撑集和高阶消失矩的4-进正交小波类。
By extending the theory of multi-resolution analysis to multi-bank wavelets, this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets.
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