Exploratory spectral analysis of hydrological times series     

A. Ian McLeod  K. W. Hipel 《Stochastic Environmental Research and Risk Assessment (SERRA)》1995,9(3):171-205

Current methods of estimation of the univariate spectral density are reviewed and some improvements are made. It is suggested that spectral analysis may perhaps be best thought of as another exploratory data analysis (EDA) tool which complements, rather than competes with, the popular ARMA model building approach. A new diagnostic check for ARMA model adequacy based on the nonparametric spectral density is introduced. Additionally, two new algorithms for fast computation of the autoregressive spectral density function are presented. For improving interpretation of results, a new style of plotting the spectral density function is suggested. Exploratory spectral analyses of a number of hydrological time series are performed and some interesting periodicities are suggested for further investigation. The application of spectral analysis to determine the possible existence of long memory in natural time series is discussed with respect to long riverflow, treering and mud varve series. Moreover, a comparison of the estimated spectral densities suggests the ARMA models fitted previously to these datasets adequately describe the low frequency component. Finally, the software and data used in this paper are available by anonymous ftp from fisher.stats.uwo.ca.  相似文献   

A Fourier transform method for the interpretation of self-potential anomalies due to two-dimensional inclined sheets of finite depth extent     

D. Atchuta Rao  H. V. Ram Babu  G. D. J. Sivakumar Sinha 《Pure and Applied Geophysics》1982,120(2):365-374

The self-potential anomaly due to a two-dimensional inclined sheets of finite depth extent has been analysed in the frequency domain using the Fourier transform. Expression for the Fourier amplitude and phase spectra are derived. The Fourier amplitude and phase spectra are analysed so as to evaluate the parameters of the sheet. Application of this method on two anomalies (synthetic and field data) has given good results.  相似文献   

Some approaches for location of centroids of quartz grain outlines to increase homology between Fourier amplitude spectra   总被引：2，自引：0，他引：2  

William E. Full  Robert Ehrlich 《Mathematical Geology》1982,14(1):43-55

The ability to test for similarities and differences among families of shapes by closed-form Fourier expansion is greatly enhanced by the concept of homology. Underlying this concept is the assumption that each term of a Fourier series, when compared to the same term in another series, represents the same thing. A method that ensures homology is one which minimizes the centering error, as reflected in the first harmonic term of the Fourier expansion. The problem is to chose a set of edge points derived from a much larger, but variable, number of edge points such that a valid homologous Fourier series can be calculated. Methods are reviewed and criteria given to define a proper solution. An algorithm is presented which takes advantage of the fact that minimization of the error term can be accomplished by minimizing the distance between the origin of the polar coordinate system in the calculation of the Fourier series and the shape centroid. The use of this algorithm has produced higher quality solutions for quartz grain provenance studies.  相似文献   

频谱成像技术在稠油热采地震监测中的应用   总被引：2，自引：0，他引：2  

王新红 《华北地震科学》2005,23(3):1-8

频谱成像技术可有效的描述地质反射层厚度的非连续性和岩性的非均质性,其在理论上主要是依据薄层反射的调谐原理,过去通常采用以离散傅里叶变换为基础的算法,但是,该方法存在着明显的局限性,因为估算的地震振幅谱的重要特征是所选时窗长度的函数.如果所选时窗过短,振幅谱会与变换窗函数褶积,失去频率的局部化特征,而且过短的时窗会使子波的旁瓣呈现为单一反射的假象.增加时窗长度,会改善频率的分辨率.但如果所选时窗过长,时窗内的多个反射会使振幅谱以槽痕为特征,很难分清单个反射的振幅谱特征.由于在实际运用中,以傅里叶变换相关的算法的时窗问题,难以选择好时窗长度,而且无法定量分析时窗长度产生的偏差,因而会使振幅谱的估算产生偏差.以小波变换为基础的时频分析技术成了非平稳性信号的重要分析工具,在很多实际应用中已取代了傅里叶变换的分析方法.以小波变换为基础的瞬时谱分析技术能得到精确的时频分析结果,同时避免了时窗问题.它反映出了储层在纵向上时间及厚度上变化情况和横向上的地质不连续性的信息,因此能使解释人员快速而有效地描述储层特征的空间变化.  相似文献   

Characteristics and method of synthesis seismic wave based on wavelet reconstruction     

邹立华  刘爱平杨宏 柴新建尚歆  戴素亮董博 《地震学报(英文版)》2007,20(6):675-683

A novel method of synthesizing seismic wave using wavelet reconstruction is proposed and compared with the traditional method of using theory of Fourier transform. By adjusting the frequency band energy and taking it as criterion, the formula of synthesizing seismic wave is deduced. Using the design parameters specified in Chinese Seismic Design Code for buildings, seismic waves are synthesized. Moreover, the method of selecting wavelet bases in synthesizing seismic wave and the influence of the damping ratio on synthesizing results are analyzed. The results show that the synthesis seismic waves using wavelet bases can represent the characteristics of the seismic wave as well as the ground characteristic period, and have good time-frequency non-stationary.  相似文献   

Sagnac型干涉成像光谱仪研制及干涉成像光谱实验   总被引：3，自引：0，他引：3  

金锡哲  向阳  禹秉熙 《遥感学报》2002,6(3):193-197

空间调制干涉成像（傅里叶变换）光谱仪（SMIFTS）是一种有重要的研究和应用价值的空间遥感器。依据应用要求和信噪比方程设计并研制了Sagnac型干涉成像（傅里叶变换）光谱仪原理样机。用该样机进行了实验室干涉成像光谱实验，获取了较为清晰的可见光、近红外谱段干涉成像图像。对其中各像元的干涉图进行数据处理和计算，提取出了光谱特征明显的成像光谱图像和与被测图样光谱特征相符的像元光谱。由实测光谱辐射亮度曲线反演计算出的光谱反射曲线与标准仪器测得的图样光谱反射特性曲线进行了比较，结果表明二者对应相似。  相似文献   

Dynamical problem of micropolar viscoelasticity     

Rajneesh Kumar  Suman Choudhary 《Journal of Earth System Science》2001,110(3):215-223

The dynamic problem in micropolar viscoelastic medium has been investigated by employing eigen value approach after applying Laplace and Fourier transformations. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inverted by using a numerical technique to obtain the displacement components, force stresses, couple stress and microrotation in the physical domain. The results for these quantities are given and illustrated graphically.  相似文献   

Measurements of stratospheric chlorine monoxide (ClO) from groudbased FTIR observations     

W. Bell  C. Paton-Walsh  T. D. Gardiner  P. T. Woods  N. R. Swann  N. A. Martin  L. Donohoe  M. P. Chipperfield 《Journal of Atmospheric Chemistry》1996,24(3):285-297

Infrared absorption features due to ClO in the lower stratosphere have been identified from groundbased solar absorption spectra taken from Aberdeen, U.K. (57° N, 2° W) on 20 January 1995. A vertical column abundance of 3.42 (±0.47)×10¹⁵ molec cm^-2 has been derived from 13 independent absorption features in the P and R branches of the (0–1) vibration-rotation band of ³⁵ClO, spanning the spectral region 817–855 cm^-1. The observed absorption features are consistent with very high levels of ClO (approximately 2.6 parts per billion by volume (ppbv)) in the altitude range 16–22 km. A comparison of this profile with a 3D chemical transport model profile indicates the observation was made inside the polar vortex and shows good qualitative agreement but the model underestimates the concentrations of ClO. Simultaneous measurements of other species were made including HCl, HF and ClONO₂. These columns yield a value for HCl+ClONO₂+ClO of 7.02±0.65×10¹⁵ molec cm^-2. This is lower than the total inorganic chlorine (ClO _y ) column of 10.7±1.6×10¹⁵ molec cm^-2 estimated from mean measured (HCl+ClONO₂)/HF ratios together with in-vortex HF measurements. The discrepancy is probably due to significant amounts of the ClO dimer (Cl₂O₂) in the lower part of the stratosphere. The measurements of highly elevated levels of ClO are used to estimate O₃ loss rates at the 400, 475 and 550 K levels making assumptions about the probable distribution of ClO and Cl₂O₂. These are compared with loss rates derived from ozone sonde data.  相似文献   

从灰度变化获取表面形状的研究     

王新华  傅晓云 《武汉大学学报(信息科学版)》1995,(3)

提出了一种基于可信度操作的从灰度变化信息获取表面形状的方法，并结合在频率域的强制可积约束，把对表面梯度空间（ｐ，ｑ）的处理经过高斯球变换到（ｆ，ｇ）空间处理，不仅较好地保证了算法的收敛性和可靠性，而且有利于边界条件的确定。  相似文献   

Detection, excision and statistics of interference at the Mauritius radio telescope     

S. Sachdev  N. Udaya Shankar 《Journal of Astrophysics and Astronomy》2001,22(2-3):213-227

A technique to detect man-made interference in the visibility data of the Mauritius Radio Telescope (MRT) has been developed. This technique is based on the understanding that the interference is generally ‘spiky’ in nature and has Fourier components beyond the maximum frequency which can arise from the radio sky and can therefore be identified. We take the sum of magnitudes of visibilities on all the baselines measured at a given time to improve detectability. This is then high-pass filtered to get a time series from which the contribution of the sky is removed. Interference is detected in the high-pass data using an iterative scheme. In each iteration, interference with amplitudes beyond a certain threshold is detected. These points are then removed from the original time series and the resulting data are high-pass filtered and the process repeated. We have also studied the statistics of the strength, numbers, time of occurrence and duration of the interference at the MRT. The statistics indicate that most often the interference excision can be carried out while post-integrating the visibilities by giving a zero weight to the interference points.  相似文献