递推数列的非线性表达式的构造

A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [A nonlinear expression for Fibonacci numbers and its consequences.J.Math.Res.Appl.,2012,32(6):654–658].Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2,i.e.,the Horadam sequences,we may transfer the identities of Lucas sequences to the latter.     

挡土结构物随机地震响应分析及动力可靠度研究

本文提供了一种简单的确定性数值方法,来分析在平稳随机地震荷载作用下的结构随机地震响应及动力可靠度。该方法基于有限元动力分析软件,以单位加速度脉冲函数作为地震荷载的输入,当计算出结构的脉冲响应函数后,再运用傅立叶变换得到随机激励和结构响应之间的传递函数,由此来计算结构的均方根响应和峰值响应。基于此方法,分析了挡土结构物在平稳随机地震荷载作用下的位移、弯矩、基底水平合力、基底竖向合力以及沿墙高的土压力极值的随机地震响应及动力可靠度。从分析结果可以看出:用Kanai谱模型的计算值比欧进萍谱模型的计算值更趋保守,而把响应过程当作马尔可夫过程似比泊松过程更精确。     

深孔微差爆破震动预报浅析

以深孔爆破的单孔装药爆破震动测试为基础，得到单孔装药爆破的样本函数，并通过系统随机脉冲下的响应分析建立了模拟深孔微差爆破震动波形合成的模型，通过试验和模拟探索用单孔装药爆破的样本函数来预报深孔微差爆破震动波形及峰值的方法。     

金融风险持续性及其规避策略研究

金融风险不仅具有时变性,而且具有持续性.基于脉冲响应函数,给出了波动持续与协同持续的定义和判定定理,为讨论金融风险持续性提供判定依据;基于小波神经网络,将相关主题的讨论推广到非线性领域,给出非线性协同持续建模方法.最后,对中国股市进行了实证研究,讨论了金融风险持续性规避策略.     

投资者高频情绪对股市成交量的异质性影响研究——基于分位数向量自回归模型

从高频视角分析股市情绪效应的异质性特征及机理，对我国金融风险管控具有重要意义。本文借助文本分析法抓取网络舆情数据，构造日内投资者高频情绪指数，在分位数Granger因果关系检验的基础上，构建分位数向量自回归模型并进行脉冲响应分析，探究不同极性投资者高频情绪对不同市场状态下及不同分位水平股市成交量的异质性影响。结果表明：(1)不同极性投资者情绪对股市成交量影响具有异质性，悲观情绪对股市成交量的脉冲强度明显大于乐观情绪且衰减较慢；(2)投资者情绪对股市成交量的影响随市场状态的变化而不同；(3)在相同市场状态下，情绪对不同分位水平股市成交量的影响也存在差异，投资者情绪对股市成交量的下分位点脉冲强度显著大于上分位点，中位点最弱。     

中国地区经济增长互动关系的脉冲响应分析

基于脉冲响应分析,本文对中国地区经济增长的互动关系进行了实证研究,结果表明中国各地区经济增长存在长期稳定关系,东部、西部地区的经济增长不仅有利于自身,而且有利于其他地区的经济增长,继续加快东部地区经济增长,深化西部大开发战略有利于缩小中国地区经济差距。     

Hybrid Active-Passive Microwave Photonic Filter with High Quality Factor

A hybrid high quality factor （Q-factor） microwave photonic filter with a cascaded active filter and a passive filter is presented and experimentally demonstrated. The active infinite impulse response filter is realized by a recirculating delay line loop with a semiconductor optical amplifier, and a much narrower 3 dB bandwidth of response peaks can be achieved. A passive finite impulse response filter is realized by an unbalance Mach-Zehnder interferometer, and it is cascaded to select the desired filter frequencies and to suppress the intermediate peaks. Compared with the purely active filter scheme, the free spectrum range and the Q-factor of the hybrid structure can be doubled. Stable operation and a high Q-factor of 362 are experimentally demonstrated.     

A TIME DOMAIN BLIND DECORRELATION METHOD OF CONVOLUTIVE MIXTURES BASED ON AN IIR MODEL

We study a time domain decorrelation method of source signal separation from convolutive sound mixtures based on an infinite impulse response （IIR） model. The IIR model uses fewer parameters to capture the physical mixing process and is useful for finding low dimensional separating solutions. We present inversion formulas to decorrelate the mixture signals and derive filter equations involving second order time lagged statistics of mixtures. We then formulate an 11 constrained minimization problem and solve it by an iterative method. Numerical experiments on recorded sound mixtures show that our method is capable of sound separation in low dimensional parameter spaces with good perceptual quality and low correlation coefficient comparable to the known infomax method.     

Experimental Properties of Optical Phase Conjugation in Cold Atoms in a Magneto-Optical Trap

We employ a sample of cold 87Rb atoms in a magneto-optical trap to study the impulse responses and spatial characters of backward conjugate waves in a four-wave mixing process. We measure the slow and superluminal group velocities of backward conjugate waves, and find the sensitive variation of the spatial mode of backward waves with the probe-pump detuning and the dependence of the reflectance on the magnetic field, while the trapping magnetic field exists.     

坐席低谷效应的时域有限差分多项模拟

介绍了交错网格下,以声压和质点振动速度为声场参量的室内声学时域有限差分递推格式,给出了在建筑边界截断计算区域的边界条件差分格式。在水平地面房间模型下,应用时域有限差分法模拟了坐席低谷效应对于空间和时间的多种特性;此外,模拟了地面起坡时的低谷效应。