Soluble models for dynamics driven by a super-diffusive noise

We explicitly discuss scalar Langevin type of equations where the deterministic part is linear, but where the integrated noise source is a non-linear diffusion process exhibiting superdiffusive behavior. We calculate transient and stationary probabilities and study the possibility of noise induced transitions from a unimodal to a bimodal probability shape. Illustrations from finance and dynamical systems are given.     

负关联噪声驱动下单模激光的定态分析

研究了负关联的加法和乘法高斯白噪声驱动下单模激光损失模型的定态情况。文中推导了负关联情况下，定态时的激光场幅的几率分布，光强的平均值，光强的协方差以及光强的偏斜率。并和文献〔１，２〕中正关联时的定态分析作了比较，发现了有意义的新现象。     

The projection operator approach to the Fokker-Planck equation. II. Dichotomic and nonlinear Gaussian noise

Two models for the Freedericksz transition in a fluctuating magnetic field are considered: one is based on a dichotomic and the other on a nonlinear Gaussian noise. Both noises are characterized by a finite correlation time. It is shown that the linear response assumption leading to the best Fokker-Planck approximation in the dichotomic and nonlinear Gaussian cases can be trusted only up to the order ¹ and ⁰, respectively. The role of the corrections to the linear response approximation is discussed and it is shown how to replace the non-Fokker-Planck terms stemming from these corrections with equivalent terms of standard type. This technique is shown to produce perfect agreement with the exact analytical results (dichotomic noise) and to satisfactorily fit the results of analog simulation (nonlinear Gaussian noise).     

The projection approach to the Fokker-Planck equation. I. Colored Gaussian noise

It is shown that the Fokker-Planck operator can be derived via a projection-perturbation approach, using the repartition of a more detailed operator into a perturbation ₁ and an unperturbed part ₀. The standard Fokker-Planck structure is recovered at the second order in ₁, whereas the perturbation terms of higher order are shown to provoke the breakdown of this structure. To get rid of these higher order terms, a key approximation, local linearization (LL), is made. In general, to evaluate at the second order in ₁ the exact expression of the diffusion coefficient which simulates the influence of a Gaussian noise with a finite correlation time, a resummation up to infinite order in must be carried out, leading to what other authors call the best Fokker-Planck approximation (BFPA). It is shown that, due to the role of terms of higher order in ₁, the BFPA leads to predictions on the equilibrium distributions that are reliable only up to the first order in t. The LL, on the contrary, in addition to making the influence of terms of higher order in ₁ vanish, results in a simple analytical expression for the term of second order that is formally coincident with the complete resummation over all the orders in t provided by the Fox theory. The corresponding diffusion coefficient in turn is shown to lead in the limiting case to exact results for the steady-state distributions. Therefore, over the whole range 0 the LL turns out to be an approximation much more accurate than the global linearization proposed by other authors for the same purpose of making the terms of higher order in ₁ vanish. In the short- region the LL leads to results virtually coincident with those of the BFPA. In the large- region the LL is a more accurate approximation than the BFPA itself. These theoretical arguments are supported by the results of both analog and digital simulation.     

红珍珠降糖胶囊中微量元素营养研究

红珍珠降糖胶囊是具有显著降低血糖水平,确定糖尿病患者康复的绿色营养保健食品。通过红珍珠降糖胶囊中Cr、Mn、Cu、Zn、Mg等微量元素的分析测试以及与青海小麦、膳食日摄取量等对比研究,表明红珍珠降糖胶囊富含涉及糖尿病的微量元素,在降低血粮糖水平方面具有十分重要的营养学、功效学作用和意义。     

Optimal estimation of intensity of noisy peaks by matched filtering with application to chromatography : Part 1. General introduction and theoretical evaluations

The digital filter described provides optimal enhancement of the signal-to-noise ratio by using prior information about peak shape and type of noise. The filter, based onthe matched-filter principle, is applied to chromatographic data, but is also suitable for optimal processing of similar noisy signals. The current implementation of the filter permits the specific reduction of different types of noise. Several theoretical aspects concerning the interpretation and use of this advanced filter are discussed. Some calculations on peaks with Gaussian and Gamma distribution shape are given.     

集成滤波器在谱图信号除噪中的应用

本文提出了一种由神经元网络与线性自适应滤波器组成的集成滤波器的实现方法，用于谱图信号除噪处理。     

考虑声源非相干性的城市轨道交通全封闭声屏障降噪预测

以某轨道交通全封闭声屏障为研究对象,考虑简化线声源的非相干性,建立2.5维边界元衍射声场模型;通过现场沿线环境噪声测试,验证了该模型的准确性,并与相干源衍射声场预测结果比较;最后预测了在近场高层建筑附近,全封闭声屏障对近轨或远轨车辆噪声的降噪效果。研究结果表明,非相干线声源更符合城市轨道交通噪声源特性;对于轮轨噪声（315～1 000 Hz）,全封闭声屏障在高层住宅建筑区域有显著的降噪效果,1/3倍频程插入损失最大为30.0 dB。对于低频噪声（50～250 Hz）,全封闭声屏障会加重高层住宅建筑区域的声压级,使插入损失出现负值。针对高层建筑附近场点,全封闭声屏障的顶端拱形透光板对远轨车辆噪声有更为显著的附加降噪效果,大部分场点附加插入损失均高于5.0 dB。