A technique to improve the empirical mode decomposition in the Hilbert-Huang transform

The Hilbert-based time-frequency analysis has promising capacity to reveal the time-variant behaviors of a system. To admit well-behaved Hilbert transforms, component decomposition of signals must be performed beforehand. This was first systematically implemented by the empirical mode decomposition (EMD) in the Hilbert-Huang transform, which can provide a time-frequency representation of the signals. The EMD, however, has limitations in distinguishing different components in narrowband signals commonly found in free-decay vibration signals. In this study, a technique for decomposing components in narrowband signals based on waves’ beating phenomena is proposed to improve the EMD, in which the time scale structure of the signal is unveiled by the Hilbert transform as a result of wave beating, the order of component extraction is reversed from that in the EMD and the end effect is confined. The proposed technique is verified by performing the component decomposition of a simulated signal and a free decay signal actually measured in an instrumented bridge structure. In addition, the adaptability of the technique to time-variant dynamic systems is demonstrated with a simulated time-variant MDOF system.     

大欧拉角的空间直角坐标转换方法探讨

首先指出建立使用大旋转角的空间直角坐标转换模型的必要性，接着推导出以罗德里格矩阵为旋转矩阵的大欧拉角空间直角坐标转换的数学模型，然后以布尔沙模型为例、以Visual C#．NET2003编制了计算软件。该算法具有性能稳定、计算收敛速度快、精确度高、转换参数初始值可以为任意值的优点。     

Bulk-rock geochemistry and plagioclase zoning in lavas exposed along the northern flank of the Western Blanco Depression (Northeast Pacific): Insight into open-system magma chamber processes

The present study is based on a set of lavas and crosscutting dikes collected by dives along detailed vertical transects on the northern flank of the western part of the Blanco Transform Fault, Northeast Pacific. The studied area consists of a small basin, the Western Blanco Depression (WBD), extending from the southern end of the Juan de Fuca ridge to a pseudofault trace 60 km eastward. The Northern Scarp of the WBD comprises a volcanic unit overlying a sheeted-dike complex. Major and trace element data, coupled with Sr–Nd isotope ratios, reveal a two-component mantle source, composed by an isotopically depleted matrix variably veined by more enriched material. One chemical group (NS2), indistinguishable from the other Northern Scarp samples on the basis of trace element data, has an unusually depleted isotopic composition typical of a nearly pure mantle end-member. Some cogenetic samples of the Northern Scarp have been used to constrain the differentiation modalities. Anorthite and MgO content profiles in plagioclase xenocrysts and phenocrysts reveal (i) the existence of H₂O-bearing evolved melts in the mushy zones and (ii) the occurrence of mixing process between these melts and anhydrous mafic liquids. The hydration is supported by other petrographic features such as high magmatic fO₂ values, calculated from Fe–Ti oxide pairs, and the presence of pyroxene inclusions in plagioclase phenocrysts. Mixing, consistent with the existence of Ni-rich ferrobasalts, is interpreted to be the consequence of the reservoir refilling by mafic liquids (Mg# = 70). These petrological and geochemical evidences are combined with the evolution of Mg# with depth to suggest a periodic open-system magma chamber evolution beneath the southern end of the Juan de Fuca ridge.     

OFDM基带处理系统的设计与实现

阐述了适合高速无线数据传输的正交频分复用(OFDM)调制方式的基本原理及调制解调的快速傅立叶变换(FFT)实现,并给出OFDM基带处理系统的结构图和硬件模块框图。     

基于傅里叶变换质谱的烃源岩成熟度评价方法及地质意义

<正>伴随非常规油气资源的勘探开发,油气资源开采的广度和深度进一步扩大,一定程度上缓解了我国油气供需矛盾、保障了我国能源安全,同时有力推动了能源结构战略转型。但同时也对能源地质研究工作提出了新的挑战。有机质成熟度是油气评价的重要参数之一,不同成熟阶段的有机质会对应产出不同成因、不同性质、不同质量的油气,如何准确评价沉积有机质成熟度是当前油气资源勘探开发工作的关键问题之一。前人在科研实践工作中从光学、化学、谱学等角度提出了适用条件各异的成熟度评价方法,在部分地质环境中获得了良好的应用效果,但已有的成熟度指标多受测定方法原理的制约导致其适用性不同程度受限(肖贤明等,2020),制约了油气资源的高质量勘探开发。     

Improvement of pseudo-static method for slope stability analysis

traditional In this paper, two drawbacks pseudo-static method （vertical of the slice method） in the slope stability evaluation have been studied. First, the sliding mass is divided into vertical slices according to this method, which is irrational to some extent in the seismic design of slope. Second, only peak ground acceleration （PGA） is considered, and the effects of shaking frequency and duration on slope stability are neglected. And then, based on the theory of elastic wave and the summarized geological model, this paper put forwards an improved method of pseudo-method by using the theory of elastic wave and Hilbert-Huang transform. The improved pseudostatic method gives reasonable considerations to the time-frequency effects of seismic wave and its rationality has been verified by the shaking table test. This method can evaluate the safety of a slope, the happening time and the scale of landslides. At the same time, this method also can improve the high accuracy of the evaluation of the safety of the slope.     

一种基于短时傅立叶变换的脉冲星消色散算法

叙述了一种基于短时傅立叶变换的脉冲星消色散算法。首先介绍了脉冲星的色散形成原因以及几种当今流行的消色散算法。接着介绍了短时傅立叶变换,并在此基础上提出了一种基于短时傅立叶变换的消色散算法。然后详细讲述了这种消色散算法的具体实现步骤,并且比较了在选取不同长度的时间窗函数的情况下,消色散的处理过程和残余色散量。最后,通过将这种算法的计算量以及结果和其他几种算法做横向比较,得出了结论:这种消色散算法的计算量小,实现简单,可以有效的进行消色散处理。     

构造地质学中的地质思维初探

地质模型的建立,地质思维的正确运用已成为引导地质学前进的两个关键环节。本文以构造地质学领域中近年来的研究成果为基础,探讨了与空间和时间有关的地质思维问题。指出:一个地质现象的观察,一定要结合高一级尺度和低一级尺度的综合研究,才能得出既有形成机制、又有组合规律的全面结论;一个构造形迹,一定要尽力区分出不同的递进变形阶段,以提供以时间为坐标的演化序列。文末,笔者提供了两个研究实例,一个用小构造分析论证区域构造演化,一个据叠加变形原理,把研究对象区分成不同的区段和亚域。     

花园口站年最大洪峰流量时间序列的HHT分析

Hilbert-Huang变换能够定量描述非线性、非平稳复杂时间序列的时频特性,较传统分析方法更具优势。通过对时间序列进行EMD分解,得到变化过程的内在模态函数和趋势项函数,而后对各内在模态函数进行Hilbert-Huang变换,从而揭示出时间序列的多时间尺度特征。以黄河花园口站1952-2009年的年最大洪峰流量时间序列为例,对其进行多时间尺度分析,得到不同波动周期的振荡分量及趋势分量,具体分析了各分量的变化特征。结果表明,花园口年最大洪峰流量变化过程中存在准3.2a、准6.4a、准11.8a和准31.0a周期的波动,其中准3.2a和准6.4a的周期波动是引起原序列波动的主要原因,近60年来花园口年最大洪峰流量变化呈递减趋势,由此揭示了年最大洪峰流量变化过程的多时间尺度特征。在此基础上,探讨了各波动分量变化的影响因素,其变化与大气低频振荡、ENSO、太阳活动及气候变迁等因素有关。     

基于改进的希尔伯特-黄变换的地震强震动特征提取

2021年5月21日漾濞M_s6.4地震是云南近10 a以来继M_s6.5鲁甸地震和M_s6.6景谷地震后发生的又一次破坏性浅源地震,其震中位于滇西北地区维西-乔后断裂带附近。震源机制结果显示：此次地震属于走滑型破裂,符合区域构造特征。为进一步研究该地震强震动特征,特引入改进后的希尔伯特-黄变换(HHT),以不同角度客观分析强震动的尺度和频域特征。研究结果表明：希尔伯特-黄变换在对实际地震动记录进行特征提取后,得到的边际谱和时频谱可在一定程度上保留原始数据的主要信息,该方法可为类似破坏性浅源地震的强震动特征分析提供更有效的信息参数,保证了信号分解的稳定性,更适于处理非平稳信号,可为现代信号应用分析于强震动特征提供另一种新思路。