New imaging method for seismic reflection wave and its theoretical basis

Some new imaging formulas for seismic reflection wave and their theoretical basis are given. Phenomena of wave propagation should be characterized by instantaneous spectrum and expressed by complex function of three variables (time, space and frequency) in mathematics. Various physical parameters of medium are also complex functions of two variables (space and frequency). The relationship between reflection coefficient of medium and spectrum of reflected wave is given. Multi-reflection and filter of formations are considered in inversion formulas. Problems in classical convolution model and wave equation are illustrated. All these inversion formulas can be used to image underground medium by wavelet transform and method of “3-basic colors”. Different colors mean different media.     

Non‐stationary seismic response of tanks with soil interaction by wavelets

A wavelet‐based random vibration theory has been developed for the non‐stationary seismic response of liquid storage tanks including soil interaction. The ground motion process has been characterized via estimates of statistical functionals of wavelet coefficients obtained from a single time history of ground accelerations. The tank–liquid–soil system has been modelled as a two‐degree‐of‐freedom (2‐DOF) system. The wavelet domain equations have been formulated and the wavelet coefficients of the required response state are obtained by solving two linear simultaneous algebraic equations. The explicit expression for the instantaneous power spectral density function (PSDF) in terms of the functionals of the input wavelet coefficients has been obtained. The moments of this PSDF are used to estimate the expected pseudo‐spectral acceleration (PSA) response of the tank. Parametric variations are carried out to study the effects of tank height, foundation natural frequency, shear wave velocity of soil and ratio of the mass of tank (including liquid) to the mass of foundation on the PSA responses of tanks. Copyright © 2001 John Wiley & Sons, Ltd.     

正压模式中慢波的离散谱及其特征函数

本文对正压模式中慢波的离散谱及其特征函数作了数值计算。结果发现，在低速线性缓变切变基流的情形下，正压原始方程中慢波可有离散谱存在。本文还给出了在该基流下算得的谱点和特征函数，并与准地转模式的计算结果进行了比较。     

Investigation of Image Fusion Between High—Resolution Image and Multi—Spectral Image

On the basis of a thorough understanding of the physical characteristics of remote sensing image,this paper employs the theories of wavelet transform and signal sampling to develop a new image fusion algorithm.The algorithm has been successfully applied to the image fusion of SPOT PAN and TM of Guangdong province, China The experimental results show that a perfect image fusion can be built up by using the image analytical solution and reconstruction in the image frequency domain based on the physical characteristics of the image formation.The method has demonstrated that the results of the image fusion do not change spectral characteristics of the original image.     

重庆市夏季气温及降水变化的小波分析

利用重庆市长年代气温及降水观测资料,用MHF(墨西哥帽函数)小波方法分析重庆市夏季气温及降水的时间——频率的多层次时间尺度变化特征。结果表明,重庆市夏季气温及降水变化具有明显的阶段性,且降水变化较气温更复杂;重庆市夏季平均气温变化以3年周期振动最强。而降水变化则以10年周期振动最强。     

小波变换在探地雷达探测地下管线信号处理中的应用

阐述了小波变换的基本理论,给出了小波变换在探地雷达方面的应用实例．认为小波变换时频局域性好,是分析非平稳信号的有效工具之一。实例分析表明,小波方法在城市地下管线探测信号去除噪音分析处理方面具有优异性能。能有效提高探地雷达探测地下管线的精度。     

遥感影像镶嵌时拼接缝的消除方法

对现有的影像并接缝消除方法的优缺点进行了分析,提出了拼接缝消除的强制改正方法,并用大量的实际图像进行了试验。结果表明：所提出的方法具有较好的拼接缝消除效果,且算法简单,易于实现,可以处理彩色和黑白等多种图像。     

综合小波分析与分形方法进行弱磁异常识别

利用小波分析塔式算法对单一分形模型数据进行处理,结合“随机共振”理论,对高精度弱磁异常中的噪声和误差进行有效的分析评价,依据趋势分析方法获得的剩余磁异常,提出“加窗移动”最小二乘方法对应用非整数阶微积分的布郎运动正态随机行走进行控制,为高精度弱磁异常的有效识别提供有益的指导。     

使用小波技术自动搜寻天体谱线

使用小波技术对包括恒星、近邻星系和ＡＧＮ等不同的天体光谱进行了自动处理．用小波滤波的方法将光谱中的连续谱与诸线分离;然后使用小波域隐含马尔可夫模型（ＨＭＭ）,对已去掉连续谱的光谱进行降噪,同时得到了噪声在每个光谱中的分布;在训练ＨＭＭ的过程中,使用改进的Ｔｙｉｎｇ方法增加训练数据以保证训练的可靠性;利用噪声分布确定出谱线信号的局部阈值,在已经降噪的光谱中找到吸收线和发射线;用高斯函数拟会出谱线的形状,标出线心的波长值,作为自动证认的基础．     

基于小波变换模极大值的滑坡监测数据处理方法及其实现

首先给出小波变换模极大值法用于滑坡体位移监测曲线去噪的处理方法,并对该方法在MATLAB中的实现进行了研究和探讨,给出了实现的算法步骤以及相应的MATLAB程序代码。利用实际数据资料,在MATLAB下进行滑坡体位移监测曲线去噪试验,取得了较理想的效果。实验结果表明,将小波变换模极大值法用于滑坡体数据处理,不但可以有效地消除噪声,而且还可以保持信号的阶跃或突变点的位置不变。