波

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

When seismic wavelet is in non-minimum phase , we can make it have smaller phase by doing exponential weighting . As for nonwhite noise problem of reflection coefficient , we may employ logarithmic power spectrum to estimate the autocorrelation function of seismic wavelet , then obtain seismic wavelet and deconvolution opera .

当地震子波为非最小相位时，可利用指数加权方法使之小相位化；对于反射系数非白噪声问题，本文提出利用对数功率谱来估算地震子波的自相关函数进而求取地震子波以及反褶积算子的方法；对于理想的期望子波，本文采用"宽带雷克子波"作为期望输出子波。

The paper presents a linear transient solution for the solitary wave generated by a piston-type paddle in a finite flume based on the boundary condition derived by Dean and Dalrymple (1991). The wavemaker problem is simplified by decomposing the wave potential into two parts. One is the evanescent wave and the other is progressive wave. The possible solution for the evanescent wave is expressed in form of the Fourier series.

本文根据Dean与Dalrymple（1991）描述造波水槽内部之线性边界条件，将水槽内部之流速势分为振荡波与前进波以简化问题，再以Fourier级数展开，可将问题化为二非齐次常微分方程式，在给定造波初始条件的情况下即可解析有限长度造波水槽自静止开始造波一段时间后停止之线性暂态解。

This paper analyzed the process of concrete component ultrasonic testing signals applying the wavelets technology and wavelet packages technology from the discomposed effect, the avoiding noise and the composition of the signal.

基于小波函数的特点，从小波分解的效果，小波降低信噪比等方面，系统地分析小波及小波包在混凝土构件超声信号检测中的应用，利用四阶 Daubechies小波函数建立了一小波消噪模型。

Evidence suggests that 1 under more stable stratification, the basic flow, if moving faster at low and high levels (particularly in the presence of jets there), allows a resulting meso-β unsteady wave to propagate eastward with respect to basic flow and even at greater velocity compared with it; 2 vertical windspeed shear of basic flow causes instabilities of the TWT perturbation; 3 considering the second derivative of basic-flow wind with respect to z (denoted by zz≠ 0 which is simply given as β* hereafter) the expression for the phase velocity of vortex Rossby wave is obtained, which is unidirectional in propagation with respect to basic flow; 4 VRoW has its physical origin from β*, i.e., from z-varying heterogeneities of y-direction averaged vorticity of the basic flow field; 5 VRoW phase velocity is associated with zonal wave number k, its energy is dispersive and the group velocity exists in the x direction; 6 when windspeed meets the condition of β*, TWT disturbance instability may be that of mixed VRoW and gravity wave; 7 if basic flow is subject to linear shear but does not meet the condition of β*, the TWT instability is that of inertia-gravity wave.

在大气层结比较稳定的情况下，如果基本气流在低层和高层较大(有可能存在低空急流和高空急流)，此时产生的β中尺度不稳定扰动相对于基流向东传播，甚至于快速向东传播。基本气流在垂直方向上的风速切变对于中尺度横波型的扰动起着不稳定的作用。如果考虑基流的二次切变，可以得到涡旋Rossby波的相速度表达式，涡旋Rossby波相对于基本气流是单向传播的。涡旋Rossby波产生的物理根源是基本流场的风速二次切变，亦即基本流场y方向的平均涡度在空间z方向上的不均匀所致。涡旋Rossby波的相速度与纬向波数也有关，它的能量是频散的，其在纬向x方向也存在群速度。在基本流场的风速存在二次切变时，横波型不稳定可能是混合的涡旋Rossby重力波的不稳定；而在基本流场的风速仅仅存在线性切变，不存在二次切变时，横波型扰动的不稳定则是重力惯性波的不稳定。

Through the number calculation and the theories analysis that designs oping one-dimensional photonic crystal,the characteristic of TM wave and TE wave defect mode resulting from incident argle and the characteristic of TM wave defect mode resulting from thickness of defect were gotten.The defect mode of TM wave have been in the incident angle 0～π/2,the defect mode of TE wave have been in 0～0.65rad.

通过对设计出的一维掺杂光子晶体的数值计算和理论分析，得出了TM波和TE波缺陷模随入射角变化的特征以及TM波缺陷模随杂质光学厚度的变化特征为：TM波的缺陷模透射峰在入射角为0-π/2范围内均存在，而TE波的缺陷模透射峰只在入射角为0-0.65 rad范围内存在；在一定波长范围内TM波缺陷模的波长随杂质光学厚度近似呈线性变化。

Principle of non-communication complete transmission line UHS protection is proposed according to the effect of line trap and transmission line frequency dependant property on travelling wave.

2在行波原理方面，考虑行波产生的机理特别是线路阻波器、输电线路频率相关特性等的影响，利用行波波头的故障特征，提出了新的单端行波保护原理——无通信全线速动行波保护原理。

Although the physics of seismic waves is complex, ground shaking can be explained in terms of body waves, compressional, or P, and shear, or S, and surface waves, Rayleigh and Love.

尽管震动形成的物理波是复杂的，但地动可以由以下几种波来说明：体波，纵波或P波，横波或S波，表面波，瑞利波以及洛夫波。

The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen.

在重力波的传播过程中，氢氧大气成分的水平和垂直分布均受到了不同程度的影响，以氧原子的响应最为明显，而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现；另外，分析显示，重力波的非线性传播对OH气辉的峰值分布由明显影响，小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布，重力波的破碎现象也可以从对气辉的观测中反映应出来，这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

The breaking of gravity wave accelerates the downward transport of atomic oxygen, some smaller-scale structures appear on the horizontal distribution of atomic oxygen number density , and other chemical species are also affected due to the chemical reaction with atomic oxygen and the propagation of gravity wave. The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen. The nonlinear propagation of smaller vertical wavelength gravity waves can induce the double-peaked structure in the OH airglow. The results can explanation some sporadic measurements of OH airglow and can provide a good indication for studying the characteristic of nonlinear gravity wave by using OH airglow measurement.

在重力波的传播过程中，氢氧大气成分的水平和垂直分布均受到了不同程度的影响，以氧原子的响应最为明显，而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现；另外，分析显示，重力波的非线性传播对OH气辉的峰值分布由明显影响，小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布，重力波的破碎现象也可以从对气辉的观测中反映应出来，这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。