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 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。
His research interests include image and multi-dimensional signal processing, computational imaging, wavelets and multiscale geometric analysis, and visual information representation.
他的研究兴趣包括图像和多维信号处理，计算图像，小波和多尺度几何分析，可视化信息的表述。
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。
Unlike the sinusoidal, endlessly repeating waves used in Fourier analysis, wavelets are often irregular and asymmetric, with values that die out to zero as they move farther from a central point.
与傅里叶分析中使用的无限重复的正弦波不同，小波常常是不规则的和非对称的，随着离中心点越来越远，其数值逐渐靠近零。
In the same way as constructing classic wavelets by multiresolution analysis, wavelets with composite dilations are also constructed by multiresolution with composite dilations.
与用多尺度分析构造古典小波的方法相同，复合伸缩小波也可使用复合伸缩多尺度分析来构造。
Methods "Virtual Box count" method was used to collect blood cell membrane signals, which was subsequently processed using the wavelets transform combined with the complex cepstrum analysis method.
方法利用“虚拟盒计数法”方法采集血膜中的细胞分布数据信号，然后进行小波变换结合复倒谱分析方法处理。
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.
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。
Using the method of wavelets transform, the main terms in singularities are retained in simplification. So the result is more accurate in a point view of singularity analysis.
利用小波变换这一工具，可以在化简时保留奇性的主要部分，使所得的结果从奇性分析的观点看来更为精确。
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。
Finally, it gave an image de-noising algorithm of coherence enhancing diffusion, which used wavelet coefficients to estimate the image edge according to the wavelets time-frequent analysis function.
针对相干增强扩散计算扩散矩阵较慢的缺点，提出了一种用小波系数估计图像边缘方向的相干增强扩散图像降噪算法。
Finally, it gave an image de-noising algorithm of coherence enhancing diffusion, which used wavelet coefficients to estimate the image edge according to the wavelets time-frequent analysis function.
针对相干增强扩散计算扩散矩阵较慢的缺点，提出了一种用小波系数估计图像边缘方向的相干增强扩散图像降噪算法。
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