均匀圆阵二维波达角估计的Cramer-Rao界

均匀圆阵(UCA)是一种应用广泛的具有二位波达角估计能力的平面阵列。为了从理论上分析不同阵列参数下到达波方位角(AOA)、仰角估计精度,推导了均匀圆阵二维波达角估计的性能界,以此为基础分析了阵列孔径、阵元个数、快拍数以及来波仰角高低与到达角估计精度的关系,并通过对UCA-MUSIC算法计算机仿真验证了推导结果的正确性。研究结果为波达角估计类算法提供了可供参考的性能下界,圆阵设计时也不再需要大量的Monte Carlo仿真试验确定阵列参数,可直接从估计精度表达式中获得。     

Estimation of carrier frequency offsets for MIMO systems with distributed transmit antennas

The problem of estimating the carrier frequency offsets in Multiple-Input Multiple-Output (MIMO) systems with distributed transmit antennas is addressed. It is supposed that the transmit antennas are distributed while the receive antennas are still centralized, and the general case where both the time delays and the frequency offsets are possibly different for each transmit antenna is considered. The channel is supposed to be frequency flat, and the macroscopic fading is also taken into consideration. A carrier frequency offset estimator based on Maximum Likelihood (ML) is proposed, which can separately estimate the frequency offset for each transmit antenna and exploit the spatial diversity. The Cramer-Rao Bound (CRB) for synchronous MIMO (i.e., the time delays for each transmit antenna are all equal) is also derived. Simulation results are given to illustrate the per- formance of the estimator and compare it with the CRB. It is shown that the estimator can provide satisfactory frequency offset estimates and its performance is close to the CRB for the Signal-to-Noise Ratio (SNR) below 20dB.     

Measuring manufacturing capability based on lower confidence bounds of C pmk applied to current transmitter process

Several process capability indices, including C_p, C_pk, and C_pm, have been proposed to provide numerical measures on manufacturing potential and actual performance. Combining the advantages of those indices, a more advanced index C_pmk is proposed, taking the process variation, centre of the specification tolerance, and the proximity to the target value into account, which has been shown to be a useful capability index for manufacturing processes with two-sided specification limits. In this paper, we consider the estimation of C_pmk, and we develop an efficient algorithm to compute the lower confidence bounds on C_pmk based on the estimation, which presents a measure on the minimum manufacturing capability of the process based on the sample data. We also provide tables for practitioners to use in measuring their processes. A real-world example of current transmitters taken from a microelectronics device manufacturing process is investigated to illustrate the applicability of the proposed approach. Our implementation of the existing statistical theory for manufacturing capability assessment bridges the gap between the theoretical development and the in-plant applications.     

正规矩阵特征值的Wielandt型绝对扰动上界

研究了一类特殊矩阵特征值的绝对扰动上界问题,利用矩阵的奇异值分解和矩阵计算方面的技巧,探讨了正规矩阵特征值的扰动问题,得到了正规矩阵特征值的Wielandt型绝对扰动上界。本文得到的结论还进一步推广了Wielandt－Hoffman定理．是比Wielandt－Hoffman定理更一般的形式。     

用热失重法确定水合粘土水分含量及存在形式

文章以蒙脱土为例，采用热失重法定性定量确定了水合粘土中结合水类型、界限及其相对含量，并与等温吸附法结果进行了对比。结果表明，用该方法得到的水合蒙脱土中各种水分的相对含量及总含水量与等温吸附实验结果相一致。热失重（25~250 ℃）分析结果表明，水合蒙脱土中水分子主要存在自由水、松散吸附结合水、紧密吸附水（强吸附结合水）3种状态，分别对应于25~75 ℃、75~120 ℃、120~230 ℃区间里的失水。从热失重（25~250 ℃）规律来看，仍存在两个明显的转折点p/ps=0.9、0.98，它们为粘土-水体系的两个特征湿度，前者为粘土表面强结合水与松散结合水（渗透结合水）之间的界限，后者为松散结合水与自由水之间的界限，这验证了等温吸附法确定的两个特征湿度及对粘土表面结合水界限划分的正确性。     

地形特征对粒子滤波导航算法精度影响分析

地形导航是利用飞行器下方地形估计飞行器空间位置的导航方法。由于地形是强非线性模型,因此地形导航可以看作非线性状态估计问题,地形特征直接影响导航精度。在讨论粒子滤波导航算法基础上,重点研究了地形特征对后验概率密度和Cramer-Rao下界的影响,得出了地形梯度和相似度是影响粒子滤波导航算法精度的根本原因,为飞行区域选择、飞行路径规划提供了依据,具有较强的实用性。     

一种基于窄带信号多普勒频率测量的运动目标直接定位方法

相比于常规的两步定位方法,目标直接定位方法具有更高的定位精度,但现有的直接定位方法主要是针对静止目标所提出的,并具有较大的运算量.本文提出了一种针对匀速运动目标的多普勒频率直接定位方法.文中首先基于最大似然准则推导了直接估计目标初始位置和运动速度的优化模型,针对该优化模型是以矩阵特征值的形式给出而难以数值求解的问题,提出了一种基于矩阵特征值扰动定理的Newton型迭代算法,该算法可以避免多维参数网格搜索所导致的庞大运算量.此外,文中还推导了关于目标初始位置、运动速度以及运动航迹估计的克拉美罗界的闭式表达式.数值实验表明新方法的目标位置估计方差可以达到克拉美罗界,并且具有较少的运算量.     

一类二次比式和最优解的研究

对于二次比式和问题的最优解问题,提出了一种罚函数法以及单纯形分枝定界算法.利用指数函数及线性化技术,将约束优化问题转化为易于求解的无约束优化问题,最终给出了算法.