连续波

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

New parameter estimation Markov recursive algorithm for continuous stochastic linear system and bilinear system is proposed.

基于小波变换的连续随机线性和双线性系统参数辨识Markov方法分析研究了连续维纳过程在小波变换下的统计特性，给出了维纳过程的离散小波变换系数所构成的离散随机过程的协方差矩阵计算和估计方法，基此提出了线性和双线性连续随机系统参数辨识的Markov估计方法及其递推算法。

The physical characteristics of various hyperbolic waves in Eular system are analysed. The shock physical characteristics and the conditions of forming the shocklet are discussed, detailedly. We are clear about the mechanism of shocklet excited by continuous waves.The physical mechanism of TS waves and the relation between shocklets and TS waves are studed in a systematic way.

从理论上分析了Eular系统中各种双曲波的物理性质，详细讨论了激波的物理特性和与产生激波的条件，明确了通过连续波动诱发激波物理机理，系统研究了TS波的在可压与不可压流动中的物理特性以及与激波的联系，分析了粘性对激波形成的影响。4。

The results obtained from three different methods—the conventional numerical differentiation, the discrete wavelet transform method and the proposed continuous wavelet transform method were compared, it was demonstrated that the results are similar for signals without noise, but the signal-to-noise ratio of the result obtained by the CWT method is improved greatly comparing with the former two methods for noisy signals.

通过数值微分法、离散小波变换法及连续小波变换法对模拟信号的求导结果表明：对于无噪音的信号，三种方法的结果相似，而对于含有噪音的信号，连续小波变换法所得结果的信噪比明显高于前两种方法。

As an application of continuous wavelet transform,we discuss the relationsbetween some differemtial equaltions and the integral equations by using thecontinuous wavelet transform in 〓,vector function space andabstract function space respectively;prove that they are equivalent not only in theweak topology but also in the strong topology.

作为连续小波变换的应用，分别利用〓上的，多元函数空间上的，向量函数空间上的和抽象函数空间上的连续小波变换分别得到了某些线性微分方程，某些线性偏微分方程，某些向量线性微分方程和某些抽象函数的微分方程分别等价于其相应的积分方程，证明了它们不仅在弱收敛意义下而且在范数收敛意义下是等价的。

In order to provide the subsequent researchers with a thorough viewpoint, the writer has managed to combine the development of wavelet and make a thorough demonstration of what achievement has been made theoretically and applicably in the field of wavelet analyses, as well as the domestic and overseas situation of studying wavelet; of such major theories as multiresolution analyses, the construction of wavelet bases, the wavelet packet, and the continuous wavelet transform, of how to put the signal and image processing of wavelet in practice.

作者在阅读了国内外大量文献的基础上，结合小波的发展史全面地阐述了小波分析已经取得的理论和应用成果及其在国内外的研究现状，综述了多尺度分析、小波基的构造、小波包、连续小波变换等小波的主要理论和小波在信号和图像处理方面的应用，试图给后续研究者提供一个较全面的视角。

In this thesis, the crystal structure and phase transition behaviors of a andβforsterite (Mg2SiO4) at high temperature and high pressure were investigated by the first principle calculations and the quasi-harmonic Debye model. Variations of elastic properties, band structure, density of state, band gap ofαandβforsterite with pressure were calculated, and the effect ofα/βphase transition on these characters was analyzed. The effects of water on elastic modulus, sound velocity and band gap of forsterite were also simulated. Finally, the effect ofα/βphase transition and water on seismic discontinuity in earth was discussed.

通过第一性原理结合准简谐德拜模型研究了α和β镁橄榄石的高温高压结构及相变特征；计算了α和β镁橄榄石的弹性模量、波速、电子带结构、带隙等随压力的变化规律，并探讨了相变对这些性质的影响；研究了水对α镁橄榄石弹性模量、波速和带隙的影响；探讨了水对地幔中不连续层的作用以及矿物相变对过渡带波速不连续的作用。

The main conclusions are: Mexican hat wavelet is anisotropic one, and it could detect pointlike singularities very efficiently. Morlet and Cauchy wavelet could be used to detect specific directions, and Cauchy wavelet has better direction selectivity than Morlet one. And it has been used to separate the wave field of Ricker. Its results are basically accurate and computation is more efficient.

主要结论有：Mexcian帽小波是各向同性的，主要用来检测点状信号分量，Morlet小波和Cauchy小波主要用来检测方向信号分量，并且Cauchy小波比Morlet小波的方向性要好，检测结果的分辨率要高；利用二维连续小波反变换，以合成的Ricker子波为模拟信号为例进行波场分离，提高了运算效率，实验结果基本上比较准确，还需要实际地震信号的进一步验证。

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。

Some adrances in the theory and realization aspects of the RBPC CW radar are introduced in this dissertation.

本文主要介绍我们在随机二相码连续波雷达的理论与实现方面取得的一些新进展。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。