Wavelet analysis is a novel research field in the world. To study the new theory, methods and applications of wavelets is of great theoretical significance and practical value.
小波分析是国际上新兴的一个前沿研究领域，研究小波的新理论、新方法以及新应用具有重要的理论意义和实用价值。
That provides not only the theoretic bases for discussing the image Spaces of other wavelets transforms, but also a new method to investigate the wavelet analysis theory further.
这不仅为其它小波变换像空间的讨论提供了理论基础，也为小波分析理论的进一步研究提供了新的途径。
The signal singularity detection theory based on wavelets analysis is given. Through the study of those singularity, the damage situation of the structure may be discovered.
文章给出了基于小波分析的信号奇异性检测理论，通过对突变信号进行小波分析可以发现结构的损伤情况。
This paper briefly expounded the basic theory of wavelets and wavelet packet, and on the basis of using wavelet packet, introduced the general principles in vibration signal denoise.
简要阐述了小波分析、小波包分析的基本原理，并在此基础上介绍了利用小波包给信号去噪的一般原理。
As an important part of the theory for non-separable wavelets, the design of non-separable wavelets filter Banks has already became the hotspot of research on wavelet theory.
作为不可分小波理论的一个重要方面，不可分小波滤波器的设计已经成为人们研究的热点。
In the research of time delay estimation in ultra-wide band Radar, a time delay estimation method based upon the multirate theory in wavelets analysis is proposed.
在时延估计方法研究中，提出了超宽带雷达中基于小波多分辨方法的时延估计算法。
The scalar wavelets (2-channel wavelet) have been succeeded in both theory and application, of which the mathematical characters and the application performance have drawn enough attention.
无论在理论还是应用研究方面，标量小波(2 -通道小波)都已取得了很大的成功，它的数学性质和应用性能已被人们所认识。
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.
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。
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.
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。
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