最小二乘直线函数的特性分析

证明了最小二乘直线函数是一种严格的凸函数。F(a,b)=∑(y-ax_i-b)~2是一个椭圆抛物面。a=[n∑x_iy_i-∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]和b=[∑x_i^2∑y_i-∑x_i∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]仅表示极值点。a=∑x_iy_i/∑x_i和 b=[∑x_i^2∑y_i-∑x_i∑x_iy_i]/[n∑x_i^2]在某些情况下可以是极值点,但不是在每种情况下都是极值点。     

自由转子陀螺仪的伺服测试技术研究

自由转子陀螺仪是目前精度最高的一种陀螺仪,没有精密的力矩器,因此,只能采用双轴伺服法来辨识其漂移误差模型。介绍了双轴伺服测试法的基本原理,给出了双轴伺服转台的运动轨迹及重力矢量的变化规律。根据转台的运动特性,建立了自由转子陀螺仪的漂移误差模型,导出双轴伺服转台转角数据估计漂移误差模型系数的算法。从测试结果可以看出自由转子陀螺仪的长时间精度高,表明采用伺服测试法能够获得极高的测试精度,伺服转台可以作为测试自由转子陀螺仪精度的装置。     

组网数据处理探讨

讨论了测向定位中双站交会定位及定位误差分析、三站交会定位、多站交会定位若干问题，首次尝试将最小二乘法和递推最小二乘法用于多站测向定位，减少了大量的矩阵求逆，数据利用效率高，可以提高测向定位的精度和简化运算。特别是在存在多径效应的情况下，有利于发现和去除野值。在测向站组网数据的处理和应用上有较强的实用性和推广价值。     

用计算机求最小外接圆和最大内切圆的快速,精确方法

文中分别介绍了用计算机求最小外接圆和最大内切圆的新算法。该算法中每一步都能确定圆心的最佳移动方向,沿该方向的圆心移动量可由公式确定,从而只需少数几步迭代就可求得实际轮廓的最小外接圆和最大内切圆的精确位置。     

应用加权中值滤波法检测薄壁梁式挠性器件下摆量

应用加权中值滤波法对薄壁梁式挠性器件下摆量进行高准确度CCD检测。薄壁梁式挠性器件在测量过程中测量图像存在高频抖动现象,因此测量准确度不高,运用加权中值滤波后使用最小二乘法细分技术,可以在实现提高测量准确度的同时,消除高频抖动带来的误差,从而可以有效提高CCD测量薄壁梁式挠性器件下摆量的准确度。实验表明,该方法比传统测量方法准确度提高20倍以上。     

Soil moisture estimation by using multipolarization SAR image

In the past studies, different soil moisture estimation models were developed for bare soil areas by using remotely-sensed data. However, there are few models that can be used to estimate soil moisture in vegetated areas. Water Cloud Model (WCM) model is a widely used soil moisture estimation model has been developed for vegetated areas. In this study, the WCM model was extended to take soil roughness parameter into consideration. The modeling and its accuracy assessment were done by using multi-polarization Airborne Synthetic Aperture Radar (AIRSAR) images and ground data collected during field Soil Moisture Experiments.     

DME Interference mitigation for L-DACS1 based on system identification and sparse representation

L-band digital aeronautical communication system 1 (L-DACS1) is a promising candi-date data-link for future air-ground communication, but it is severely interfered by the pulse pairs (PPs) generated by distance measure equipment. A novel PP mitigation approach is proposed in this paper. Firstly, a deformed PP detection (DPPD) method that combines a filter bank, correlation detection, and rescanning is proposed to detect the deformed PPs (DPPs) which are caused by mul-tiple filters in the receiver. Secondly, a finite impulse response (FIR) model is used to approximate the overall characteristic of filters, and then the waveform of DPP can be acquired by the original waveform of PP and the FIR model. Finally, sparse representation is used to estimate the position and amplitude of each DPP, and then reconstruct each DPP. The reconstructed DPPs will be sub-tracted from the contaminated signal to mitigate interference. Numerical experiments show that the bit error rate performance of our approach is about 5 dB better than that of recent works and is closer to interference-free environment.     

Real-time object tracking via least squares transformation in spatial and Fourier domains for unmanned aerial vehicles

This paper addresses the problem of real-time object tracking for unmanned aerial vehicles. We consider the task of object tracking as a classification problem. Training a good classifier always needs a huge number of samples, which is always time-consuming and not suitable for realtime applications. In this paper, we transform the large-scale least-squares problem in the spatial domain to a series of small-scale least-squares problems with constraints in the Fourier domain using the correlation filter technique. Then, this problem is efficiently solved by two stages. In the first stage, a fast method based on recursive least squares is used to solve the correlation filter problem without constraints in the Fourier domain. In the second stage, a weight matrix is constructed to prune the solution attained in the first stage to approach the constraints in the spatial domain. Then, the pruned classifier is used for tracking. To evaluate proposed tracker's performance, comprehensive experiments are conducted on challenging aerial sequences in the UAV123 dataset. Experimental results demonstrate that proposed approach achieves a state-ofthe-art tracking performance in aerial sequences and operates at a mean speed of beyond 40 frames/s. For further analysis of proposed tracker's robustness, extensive experiments are also performed on recent benchmarks OTB50, OTB100, and VOT2016.     

基于非线性变换的加速度计误差标定与补偿CSCD

为提高三轴加速度计测量精度,分析其误差来源和产生机理,建立了误差模型;根据误差模型和重力场幅值不变特性,推导出非线性观测方程。引入两个未知的参数向量,通过数学变换把非线性观测方程变形为关于新未知参数的线性方程;然后采用批量最小二乘法求出新的未知参数,并根据误差模型参数和新未知参数之间的关系,利用逆解析运算求出对应的零点偏差、灵敏度误差和三轴不正交误差。实验结果表明,加速度计正负误差峰值间距可以减小100倍左右,精度可达10-3m/s2,并具有很好的可重复性。该方法算法效率较高,补偿效果显著。     

航空发动机增益调度控制的多项式平方和规划方法

针对现有的线性变参数(linear parameter varying,LPV)控制器设计方法都是关于仿射参数依赖系统而没有专门针对多项式描述的LPV系统这一现状,提出了一种基于多项式平方和(sum of squares,SOS)规划的增益调度控制设计方法,并将其用于转速大范围变化时的航空发动机高压转子转速及压比控制.根据发动机非线性模型获取不同转速下的状态空间模型,并利用多项式拟合的方法建立发动机线性变参数模型.给出能够保证无静差的增益调度控制结构,利用有界实定理和多项式平方和理论推导出能够保证闭环系统鲁棒稳定的SOS约束条件,并形成控制器求解的SOS规划问题,通过求解获得多项式描述的增益调度控制器.分别以LPV模型和发动机非线性模型为对象做阶跃仿真,结果表明:高压转子转速/发动机压比控制系统的调节时间在2s以内,稳态误差不超过0.1%.