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In this thesis, I introduce the purpose and meaning of my study in this field and also introduce the definition, characteristic, class and use firstly.

本文首先介绍了该论文课题研究的目的和意义,以及数字水印技术的基本概念、特性、分类、用途等,接着介绍了主要的水印攻击方式以及相应的对策,然后介绍了小波变换的基本理论,包括连续小波变换、离散小波变换、多分辨分析、Mallat算法等。

The results show that the frequency characteristic corresponds with vortex structures; the detail and approximate characteristics of signal are reflected by wavelet coefficient at different scales; the coefficient map of continuous wavelet transformation reveals the self-similarity of the signal.

采用傅里叶变换和小波变换技术,实现了混合层密度脉动信号的频谱与多分辨率分析,结果表明:信号的频域特性与流场的涡结构相对应,不同层面的离散小波系数反映了不同尺度下信号与图像的细节和平滑近似特征,连续小波变换系数图定性的反映了信号的自相似特征。

According to the characteristics of seismic reflection such as amplitude, continuity, interior structures and exterior shapes, seven seismic facies, including medium amplitude medium continuity and parallel or sub-parallel sheet facies, disorderly filling facies, disorderly progradation facies, hummocky facies, weak amplitude and medium continuity wedge facies, weak-variable amplitude and poor continuity wedge facies, and broom progradation facies, are recognized from the seismic reflection corresponding to Member 2 of Kongdian Formation which is prospective for oil and gas exploration.

利用地震反射波的振幅、连续性、内部结构和外部形态等地震反射特徵,在具有油气勘探前景的孔二段的地震反射中识别出了中振幅中连续亚平行席状相、杂乱充填相、杂乱-斜交前积相、丘状相、弱振幅中连续楔状相、弱变振幅低连续楔状相及帚状前积相等七种地震相。

We also give the latitudinal distribution of wave speed from what we could tell the reason for steady propagation during that period.

针对绕极波纬圈传播的不连续现象,提出了南极绕极波是行波和驻波共存系统的新见解。

At the end of ten minutes fifty thousand lights glittered, descen di ng from the Palazzo di Venezia to the piazza del Popolo, and mounting from the Piazzo del Popolo to the Palazzo di Venezia

十分钟以后,五万支蜡烛的烛光闪烁了起来,从威尼斯宫蔓延到了波波罗广场,又从波波罗广场连续到了威尼斯宫。

Using the special wavelets, which included Marr, Haar and DOG for the continuous wavelet transform and biorthogonal wavelet for the discrete wavelet transform, the peak positions of the component's responses, described by Gaussian, Lorentzian and sech〓-function, could be determined via WT from the overlapped signals.

以特殊小波(Marr,Haar和DOG小波和双正交小波),分别利用连续和离散小波变换对不同类型(Gaussian, Lorentzian和sech〓-function型)重叠信号的峰位置提取进行了详细研究,给出了相应的理论依据。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究: 1)建立了推广形式的共轭变分同化方法,使之能够应用于LAGFD-WAM海浪数值模式; 2)导出了扰动谱线性演化方程,分析了扰动谱增长、衰减机制,考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程; 3)利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布; 4)将推广的共轭变分方法应用于海浪谱能量平衡方程,建立了连续形式的海浪同化模型,特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式; 5)分别进行了波谱层次上和有效波高层次上的同化试验,并对数值结果进行了分析。

Numerical tests show that incident wave train can be continuously generated from the source region without being affected by reflected waves.

通过在计算域内设置一造波源造波,边界用海绵层消波来克服现有吸收式造波理论的缺陷,数值试验表明源项能连续地产生入射波浪而不受直堤产生的反射波的影响。

The wavelet time-frequency properties of the uncracked rotor and the cracked rotor were discussed by the continuous wavelet time-frequency analysis algorithm. A new algorithm using the wavelet time-frequency analysis algorithm to detect the crack was proposed. The influence of the sampling frequency on the wavelet time-frequency analysis algorithm was analyzed through the numerical simulation research; the valid sampling frequency was presented.

利用连续小波时频分析方法,讨论了裂纹转子与无裂纹转子的小波时频特性,提出了利用小波时频分析方法识别裂纹的新方法;数值仿真研究了采样频率对小波时频分析方法的准确性和有效性的影响,并给出了建议性的采样频率。

However, to construct a tensor product orthonomal wavelet basis in L〓, 2〓-1 different functions are used. Furthermore, it is concluded that the family, obtained by dilations and translations from this radial wavelet as well as their linear combinations, can constitute an orthonomal basis in L〓. The conclusion is a major breakthrough in multidimensional wavelet analysis.

从而得到:由一个径向小波的伸缩、平移系及其线性组合可以构成n维平方可积函数空间L〓的规范正交基,这个结果将当前利用张量积方法构造n维正交小波基所需要的2〓-1个不同的函数降为仅需要一个径向小波函数,这在理论上是一个重大突破;构造了同时具备局部支撑和无穷次连续可微性质的高维不可分小波的例子,这是不同于I。

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