Fast computation of Hankel Transform using orthonormal exponential approximation of complex kernel function     

Pravin K. Gupta  Sri Niwas  Neeta Chaudhary 《Journal of Earth System Science》2006,115(3):267-276

The computation of electromagnetic (EM) fields, for 1-D layered earth model, requires evaluation of Hankel Transform (HT) of the EM kernel function. The digital filtering is the most widely used technique to evaluate HT integrals. However, it has some obvious shortcomings. We present an alternative scheme, based on an orthonormal exponential approximation of the kernel function, for evaluating HT integrals. This approximation of the kernel function was chosen because the analytical solution of HT of an exponential function is readily available in literature. This expansion reduces the integral to a simple algebraic sum. The implementation of such a scheme requires that the weights and the exponents of the exponential function be estimated. The exponents were estimated through a guided search algorithm while the weights were obtained using Marquardt matrix inversion method. The algorithm was tested on analytical HT pairs available in literature. The results are compared with those obtained using the digital filtering technique with Anderson filters. The field curves for four types (A-, K-, H-and Q-type) of 3-layer earth models are generated using the present scheme and compared with the corresponding curves obtained using the Anderson sc heme. It is concluded that the present scheme is more accurate than the Anderson scheme  相似文献   

Behaviour of a rupture of the 21 June 2000 earthquake in South Iceland as revealed in an asphalted car park     

Jacques Angelier  Franoise Bergerat 《Journal of Structural Geology》2002,24(12)

A major earthquake (M=6.6) occurred on 21 June 2000, in South Iceland. This paper presents an unusual example of left-lateral strike-slip displacement recorded in a newly asphalted car park surface through a mechanically consistent pattern of open fissures and pressure ridges resulting from simple shear and rotation. Measurement of these features allows accurate reconstruction of the local deformation. The behaviour of the asphalt layer resembles that of analogue physical models, especially in terms of rotations induced by shear deformation. It is finally shown that through a wide range of scales some basic patterns associating rotation and opposite senses of strike-slip exist in the South Iceland Seismic Zone.  相似文献   

HHT方法在地震工程中的应用之初步探讨   总被引：26，自引：0，他引：26  

公茂盛  谢礼立 《世界地震工程》2003,19(3):39-43

详细介绍了一种新的非线性、非平稳信号的处理方法-HHT，讨论了其有效性和优越性，简单介绍了其在地震工程中的应用前景，并利用HHT处理了地震工程中常用El Centro地震记录，得到了该记录的振幅-频率-时间分布特性，并将得到的边际谱与傅立叶谱做了对比。  相似文献   

Hilbert-Huang变换在密频结构阻尼识别中的应用   总被引：14，自引：3，他引：14  

陈隽  徐幼麟  李杰 《地震工程与工程振动》2003,23(4):34-42

Hilbert—Huang变换是一种新的数据处理方法，由经验模分解(Empirical Mode Decomposition)技术及Hilbert变换两部分组成。本文研究此方法对于密频结构阻尼识别的应用。首先对于两自由度系统模型，说明该方法用于阻尼识别的步骤。进而研究存在频率密集现象的高层建筑的阻尼识别问题。上述结果与理论值及由半功率带宽法的识别值进行了比较，对比显示Hilbert．Huang方法较传统方法具有良好的识别密频结构阻尼的性能，适用于大型结构的系统识别。  相似文献   

Imaging the Dead Sea Transform with scattered seismic waves   总被引：2，自引：0，他引：2  

N. Maercklin  C. Haberland  T. Ryberg  M. Weber  Y. Bartov  the DESERT Group 《Geophysical Journal International》2004,158(1):179-186

  相似文献   

HHT-EEMD用于IGS站高程时间序列分析     

施闯  牛玉娇  魏娜  楼益栋  张双成 《大地测量与地球动力学》2018,38(7):661-667

利用经验模态分解（EMD）和整体经验模态分解（EEMD）方法，将BJFS站2000~2015年高程时间序列进行分解，发现其不仅存在1 a、0.5 a、0.25 a、2个月、1个月以及长周期等周期项，还存在以往方法很难探测出来的近似2 a周期信号。与EMD分解结果对比，整体经验模态分解可以明显减弱模式混叠现象。对各分量进行Hilbert 变换（HHT），得到时间-频率-能量的Hilbert 频谱图。结果表明，年周期和2 a周期变化是高程运动的主要贡献项。利用小波变换方法对比验证EEMD的分解结果表明，与小波分析相比，EEMD重构信号与高程序列差异的RMS更小，证明了HHT-EEMD方法在数据资料分析过程中的有效性。对环境负载及GRACE负载造成的测站位移进行功率谱分析得出，环境负载确实会造成IGS站高程时间序列的1 a、0.5 a以及季节性运动，GRACE负载还验证了2 a信号的存在。  相似文献   

X射线荧光光谱法分析不同类型岩石中10种主量元素的测试能力验证   总被引：4，自引：3，他引：1  

王建其  柳小明 《岩矿测试》2016,35(2):145-151

以28个不同类型岩石标样作外标,用玻璃熔片法制样,采用经验系数法进行基体校正,建立了X射线荧光光谱法(XRF)测定不同类型岩石中硅铝钙镁等10种主量元素的分析方法。该方法被用于参与GeoPT分析测试能力验证,15年来分析了23个不同类型的岩石验证样品。经验证该方法对SiO_2、Al_2O_3、K_2O和CaO具有非常好的分析效果(所有测定结果的|Z|2);对于MgO、MnO、TiO_2和Na_2O四个元素,尽管各有一个样品的分析结果的|Z|2,这主要是样品与标样的基体差异较大造成了低含量样品测定结果超差,但依然可获得好的分析效果;当TFe_2O_31.0%,P_2O_5含量在0.08%~0.80%区间时,分析结果的|Z|2,满足分析期望。总体上所建立的XRF分析方法稳定,可满足应用地球化学实验室测试不同类型岩石中10种主量元素的分析期望。  相似文献   

Analysis of wave groups by wave envelope-phase and the Hilbert Huang transform methods     

《Applied Ocean Research》2016

The wave groups are studied by both conventional wave analysis methods and by the non-stationary Hilbert Huang Transform (HHT) method. Full-scale wave records containing abnormal waves are used. Instantaneous quantities, such as envelope, phase and frequency, are adopted to study the wave grouping. A refined definition of wave group is proposed considering that the wave process is simultaneously amplitude and frequency modulated. The validation of the proposed definition is conducted by analysis of numerical simulation data. Group parameters are proposed based on the time-frequency distribution of energy. An attempt is made to find the relationship between the characteristics of abnormal waves and the group characteristics.  相似文献   

Super-resolution enhancement of UAV images based on fractional calculus and POCS     

Junfeng Lei  Shangyue Zhang  Li Luo  He Wang 《地球空间信息科学学报》2018,21(1):56-66

Abstract

A super-resolution enhancement algorithm was proposed based on the combination of fractional calculus and Projection onto Convex Sets (POCS) for unmanned aerial vehicles (UAVs) images. The representative problems of UAV images including motion blur, fisheye effect distortion, overexposed, and so on can be improved by the proposed algorithm. The fractional calculus operator is used to enhance the high-resolution and low-resolution reference frames for POCS. The affine transformation parameters between low-resolution images and reference frame are calculated by Scale Invariant Feature Transform (SIFT) for matching. The point spread function of POCS is simulated by a fractional integral filter instead of Gaussian filter for more clarity of texture and detail. The objective indices and subjective effect are compared between the proposed and other methods. The experimental results indicate that the proposed method outperforms other algorithms in most cases, especially in the structure and detail clarity of the reconstructed images.  相似文献   

位场小波分析的物理解释   总被引：13，自引：3，他引：10       下载免费PDF全文

梁锦文 《地球物理学报》2001,44(6):865-870

采用二进小波变换,构造了位场基小波,通过简单模型,分析了位场信号小波分解与重构的物理实质,阐明了小波变换的频带分布与“归一化”位场空间分布的一致性,以及小波重构的规律,并叙述了小波重构与异常分解的关系.  相似文献