矩形域上散乱数据多元最优插值的误差估计及其超收敛性（Ⅰ）──带连续边界条件

本文我们讨论了矩形域上带连续边界条件的一类多元散乱数据最优插值。给出了某些情形插值的误差估计，误差估计表明在某些点上还具有超收敛性。     

Error bounds for asymptotic expansions of the distribution of the MLE in a GMANOVA model

Summary In this paper we obtain asymptotic expansions for the distribution function and the density function of a linear combination of the MLE in a GMANOVA model, and for the density function of the MLE itself. We also obtain certain error bounds for the asymptotic expansions.     

基于执行器误差补偿的不确定非线性MIMO系统控制

针对高超音速飞行器执行器饱和的问题,在考虑全维运动及系统不确定项的情况下,提出了一种基于执行器误差补偿的非线性反步自适应控制方法,该方法通过引入执行器误差动态补偿机制,使得当控制输入超出其自身幅值限制时,能够立刻恢复到其幅值限制范围内,且引入小波神经网络自适应律和鲁棒项确保闭环系统是最终一致有界稳定,通过仿真验证了所设计方法的有效性。     

An Extremal Problem Arising in the Dynamics of Two-Phase Materials That Directly Reveals Information about the Internal Geometry

In two-phase materials, each phase having a non-local response in time, it has been found that for some driving fields the response somehow untangles at specific times, and allows one to directly infer useful information about the geometry of the material, such as the volume fractions of the phases. Motivated by this, and to obtain an algorithm for designing appropriate driving fields, we find approximate, measure independent, linear relations between the values that Markov functions take at a given set of possibly complex points, not belonging to the interval [-1,1] where the measure is supported. The problem is reduced to simply one of polynomial approximation of a given function on the interval [-1,1] and, to simplify the analysis, Chebyshev approximation is used. This allows one to obtain explicit estimates of the error of the approximation, in terms of the number of points and the minimum distance of the points to the interval [-1,1]. Assuming this minimum distance is bounded below by a number greater than 1/2, the error converges exponentially to zero as the number of points is increased. Approximate linear relations are also obtained that incorporate a set of moments of the measure. In the context of the motivating problem, the analysis also yields bounds on the response at any particular time for any driving field, and allows one to estimate the response at a given frequency using an appropriately designed driving field that effectively is turned on only for a fixed interval of time. The approximation extends directly to Markov-type functions with a positive semidefinite operator valued measure, and this has applications to determining the shape of an inclusion in a body from boundary flux measurements at a specific time, when the time-dependent boundary potentials are suitably tailored. © 2022 Wiley Periodicals, Inc.     

实际量子密钥分配扩展BB84协议窃听下的安全性分析

考虑强衰减激光脉冲技术实现的准单光子源和量子信道损耗以及窃听者Eve窃听能力有限等实际情况, 提出了一种窃听装置;同时对扩展BB84协议的各种窃听做了全面分析,计算得出发送者Alice/窃听者Eve所获得的交互信息量和发送者Alice/接收者Bob所能容忍的误码率上限,以此作为检测量子信道安全性的标准,同时得出Breidbart基/分束攻击相结合的方法是比截取/重发更为有效的窃听方案.     

润滑油中添加剂元素光谱分析研究

以船用内燃机油为研究对象,利用原子发射光谱对润滑油中的添加剂成分进行量化确定。根据MOA原子发射光谱仪的工作原理,选择校正曲线法定量,提出对不在测量精度范围内的添加剂元素含量用0 μg·g-1的空白标油进行稀释测量的方法,并进行误差计算。试验结果表明,添加剂各元素钙、磷和锌的测量相对标准偏差分别为1.6%,4.8%和4.6%,样品稀释前后的测量误差结果分别为4.21％,6.99％和5.09％。     

安装偏差对光纤布喇格光栅应变测量的影响

通过理论推导和试验分析研究了安装偏差对光纤应变测量的影响,得到安装误差所带来测量误差的计算公式.发现光纤的轴向与预定安装方向的角偏差越大,测量误差也越大.用光纤光栅进行应变测量时,必须考虑光纤的安装偏差,它直接关系到测量结果的准确性.实际测量中要尽量确保传感器安装方位的准确.     

基于分步式压印光刻的激光干涉仪纳米级测量及误差研究

针对在未做隔离保护处理的环境中,基于Michelson干涉原理的激光干涉仪测量系统存在严重的干扰误差,不适合分步式压印光刻纳米级对准测量的要求.采用Edlen公式的分析及计算,不仅在理论上揭示出环境温度、湿度、气压等变化对激光干涉仪测量准确度的影响,而且证明影响测量准确度的最大干扰源是空气流动的结果.通过气流隔离措施和系统测量反馈校正控制器,能够实时补偿激光干涉仪两路信号的相差.最终,测量漂移误差在10 min内由13 nm降低到5 nm以内,满足压印光刻在100 mm行程中达到20 nm定位准确度要求.     

用正四棱锥形阵对声目标定位研究

文章结合声阵列在智能雷系统中的应用，提出了用立体五元声阵列对声目标进行定位，将智能雷中用于预警的传感器也参与到定位阵列中来，这样就在不增加传感器的条件下实现了市体阵列对声目标的定位。文章推导了定位公式和误差公式，并对结果进行仿真分析，与平面阵相比取得了较好的效果。不但提高了精度还降低了声阵列的盲区。     

Design of a Hybrid Fiber-Optic Network Using 3-D Optical Code Sequences

We present the design of a 3-dimensional (3-D) noncoherent optical hybrid network. We also report the design of a new family of 3-D codes for fiber optic hybrid networks. We show that the hybrid network allows for shorter bit times and a higher number of users, given a set chip rate, compared to previously conceived networks. These newly designed hybrid single-pulse-per-row (HSPR) codes have very low autocorrelation side-lobes and very small cross-correlation peaks. We compare the performance of our hybrid model using our codes with the Optical Orthogonal Codes (OOCs) and Temporal/Spatial (T/S) codes and show that the new network can support a greater number of users and higher data rates than those using OOCs and T/S codes.