关于Davidson—Lanczos方法的收敛率

本文对文[1]提出的求解大型对称矩阵A的极端(几个最大或最小)特征值及相应特征向量的Davidson—Lanczos方法,用Rayleigh—Ritz逼近理论,研究了该方法的收敛率。证明了由该方法产生的规范正交向量{v_i}_i~m=1是Krylov子空间K_m≡Span(v_1,Av_1,…,A~(m-1)v_1)的一组基。设A的k个最大特征值为又,λ_1>λ_2>…>λ_k,相应的近似特征值为λ_i~(m)(i=1,…,k),得到 这里γ_i(γ_i>1),W_i和W_i~(m)是常数。     

无人车基于激光雷达/视觉的目标体积自动测量方法

近些年,基于激光雷达和视觉的目标感知在无人系统中得到了广泛应用。目标的体积测量在很多应用场景可以发挥极其重要的作用,然而对识别感知目标的体积测量,目前尚无大量研究。首次提出了一种基于激光雷达/视觉的无人车目标体积自动测量方法,实现了无人车与目标体积测量功能的结合。通过在LeGO-LOAM算法中加入点云畸变补偿,相较于原始LeGO-LOAM算法,无人车在高速情况下的构图精度得到提升;通过将激光雷达与视觉进行深度融合,实现了目标的自动识别与全局定位;通过基于平面拟合的地面分割与欧式聚类,实现了目标点云轮廓的实时获取;通过设计一种基于切片法的不规则物体体积测量方法,实现了无人车在运动情况下对目标体积的自动估计。最终,分别通过Gazebo仿真和实际试验验证了算法的有效性。试验结果表明,所提算法在无人车运动的情况下对静态目标物的实时体积测量精度优于3%,具有较好的工程应用价值。     

梁纵向与横向耦合非线性振动分析

纵向振动和横向振动耦合是捆绑火箭等结构中的典型振动现象.以Rayleigh梁为研究对象,通过Hamilton变分原理推导了考虑应变二次项的纵向振动与横向振动耦合控制方程,并用有限元方法对该非线性系统的行为进行了模拟.针对线性系统固有振动频率和非线性纵横耦合动态响应情况,把所得结果与NASTRAN结果进行了比较,二者结果吻合,证明了本方法的正确性.在此基础上,借助振动控制方程和模拟结果,讨论了非线性系统频率与模态的时变特性,非线性动态响应频率成分特性,横向振动和纵向振动相互影响以及共振现象等.研究结果为本方法的实际应用提供了理论基础.      

冗余系统两种应力-强度分布模型的可靠度计算

本文运用应力-强度干涉理论,说明如何确定相同设备(或元件)构成的冗余系统的可靠性。讨论了冗余系统的并联和从n中取k两种结构形式的数学模型,推导了应力和强度服从瑞利分布的并联冗余系统,以及应力和强度分别服从麦克思韦分布和瑞利分布n中取k冗余系统的数学公式。最后,给出这两个模型在应力作用下,对应于不同的强度参数,设备或元件的可靠性曲线,直观地说明应力强度参数的改变对可靠性的影响。     

Earth observation from space – The issue of environmental sustainability

Remote sensing scientists work under assumptions that should not be taken for granted and should, therefore, be challenged. These assumptions include the following:1. Space, especially Low Earth Orbit (LEO), will always be available to governmental and commercial space entities that launch Earth remote sensing missions.2. Space launches are benign with respect to environmental impacts.3. Minimization of Type 1 error, which provides increased confidence in the experimental outcome, is the best way to assess the significance of environmental change.4. Large-area remote sensing investigations, i.e. national, continental, global studies, are best done from space.5. National space missions should trump international, cooperative space missions to ensure national control and distribution of the data products.At best, all of these points are arguable, and in some cases, they're wrong. Development of observational space systems that are compatible with sustainability principles should be a primary concern when Earth remote sensing space systems are envisioned, designed, and launched. The discussion is based on the hypothesis that reducing the environmental impacts of the data acquisition step, which is at the very beginning of the information stream leading to decision and action, will enhance coherence in the information stream and strengthen the capacity of measurement processes to meet their stated functional goal, i.e. sustainable management of Earth resources. We suggest that unconventional points of view should be adopted and when appropriate, remedial measures considered that could help to reduce the environmental footprint of space remote sensing and of Earth observation and monitoring systems in general. This article discusses these five assumptions in the context of sustainable management of Earth's resources. Taking each assumption in turn, we find the following:(1) Space debris may limit access to Low Earth Orbit over the next decades.(2) Relatively speaking, given that they're rare event, space launches may be benign, but study is merited on upper stratospheric and exospheric layers given the chemical activity associated with rocket combustion by-products.(3) Minimization of Type II error should be considered in situations where minimization of Type I error greatly hampers or precludes our ability to correct the environmental condition being studied.(4) In certain situations, airborne collects may be less expensive and more environmentally benign, and comparative studies should be done to determine which path is wisest.(5) International cooperation and data sharing will reduce instrument and launch costs and mission redundancy. Given fiscal concerns of most of the major space agencies – e.g. NASA, ESA, CNES – it seems prudent to combine resources.     

考虑测试性设计缺陷修正延时的测试性增长模型建模与评价方法

针对现有测试性增长模型忽略了测试性设计缺陷的修正延时过程,进而导致测试性增长模型（TGM）跟踪与预计精度低的问题,提出了一种考虑测试性设计缺陷修正延时的测试性增长模型建模理论与方法。首先分析测试性设计缺陷识别与修正之间的延时机理,得到剩余测试性设计缺陷（TDL）具有先增后减的铃形变化趋势;在此基础上,分别以Gamma、Raleigh和Delay-S 3种曲线拟合剩余测试性设计缺陷（RTDL）变化趋势,研究建立基于以上3种曲线考虑修正延时的测试性增长模型;最后,以某机载稳定跟踪平台测试性增长试验数据验证测试性增长模型拟合、跟踪及预计效能。研究结果表明：基于该测试性增长试验数据,Gamma曲线可以精确地拟合剩余测试性设计缺陷变化规律,测试性增长模型跟踪和预计精度可达到10^-2数量级。     

武汉上空Na层季节和夜间变化的观测研究

根据武汉大学激光雷达2001年3月到2002年10月的观测数据,对武汉上空(30.5°N,114.4°E)的背景Na层结构进行了研究,并与其他观测站尤其是Urbana(40°N,88°W)的观测结果进行了比较。发现武汉上空11月的Na层柱密度最大,是4月的2.5倍,质心高度的极小值出现在5月和11月,极大值在4月、9月和12月;全年平均Na层均方根宽度为4.47km.Na层各参数呈现出周期性变化规律,其中Na层均方很宽度呈现出明显的半年周期性变化规律。夜间Na层柱密度呈现总体增加的趋势,质心高度在入夜后立即迅速上升,在2000LT以后上升速度趋缓,凌晨0500LT以后出现下降;Na层均方根宽度在夜间约有1.3km的起伏变化,它入夜后迅速减小,在午夜0035LT时出现一低谷,然后随时间逐渐变宽。     

总体最小二乘算法在自适应信道均衡中的应用研究

分析了最小二乘解产生偏差的原因,推导出了最小二乘解偏差项的数学表达式。提出了一种基于瑞利商的变步长总体最小二乘求解方法。仿真试验表明,总体最小二乘算法的性能优于加权递归最小二乘算法,是一种适用于输入信号端含有噪声的自适应信道均衡算法。     

酸性磺酞类染料共振Rayleigh散射光谱法测定奈替米星

用共振Rayleigh散射（RRS）光谱研究了酸性磺酞类染料溴甲酚绿和溴酚蓝分别与奈替米星的相互作用.溴甲酚绿和溴酚蓝在酸性介质中分别与奈替米星相互作用,导致RRS光谱显著增强,最大的RRS峰分别位于606nm和572nm处,散射强度与奈替米星的质量浓度在一定的范围内成正比.此方法具有很高的灵敏度,对于奈替米星的检测限（3σ）分别为30ng/mL和10ng/mL,据此发展了一种测定奈替米星的新方法.     

Tidal associated temperature disturbances observed at the middle atmosphere (30–65 km) by a Rayleigh lidar at 23°S

A lidar has been operated in São José dos Campos, Brazil (23.2°S, 45.8°W) since 1972, mainly dedicated to the study of mesospheric sodium at the 589 nm resonant line. The molecular Rayleigh scattering can also be used provided we limit the height to ∼75 km where the sodium scattering begins. Nevertheless, the weak signal obtained only permits the determination of density and temperature profiles by accumulating a large number of shots giving only nocturnal average profiles. Temporal variations in density and temperature on the scale of hours can however, be obtained by performing a superposed epoch analysis for a given time interval and covering a period of several days. In this way we obtained hourly mean profiles grouped by months, seasons and overall, with data acquired from 1993 to 2004. The difference between the hourly temperatures and the nocturnal means shows for some months, with enough data coverage, downward propagating structures that apparently have tidal origin. The seasonal averages show a recurrent feature with high temperatures before and low temperatures after midnight above 50 km. Some similarity is found with the GSWM model, but the observed temperature amplitudes are twice of that for the model.