优化的GM(1,1)模型及其适用范围

在已有灰色理论的基础上,利用“最小二乘法”确定GM(1,1)白化权函数的时间响应函数中的常数c,摈弃了传统GM(1,1)把原始序列中x^(0)(1)作为初始条件的欠科学的做法,构建了时间响应函数的优化模型。经大量的数据模拟和预测,发现优化的GM(1,1)模型各项指标均优于传统的GM(1,1)模型,且拓宽了其适用范围。     

辅助平面法评定平面对平面倾斜度误差的数学模型

提出一种评定平面对平面倾斜度误差的新算法。该算法是通过确定辅助测量平面，在不含原理误差的条件下，快速、准确地确定符合其定义的倾斜度误差值。     

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。     

基于模型辨识的数控机床专用伺服电机位置控制

数控机床精密加工要求伺服电机具有精度高和响应快等特性,而传统的伺服控制器位置环采用的是简单的误差比例(P)控制,这种控制方法的响应性不能满足加工要求。提出一种基于模型辨识的伺服电机角位移控制方法。首先,采用最小二乘法辨识出传统闭环控制系统的模型；然后,分析模型的零、极点,根据模型特性设计补偿控制器；最后,通过试验结果说明所提方法能快速、准确地跟随系统输入。     

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.     

一种基于观测站数目最小化的TDOA/FDOA无源定位算法

在三维（3D）运动目标无源定位系统中，无模糊定位最少需要4个观测站。而传统的两步加权最小二乘（TSWLS）及其改进的闭式算法至少需要5个观测站进行求解，当减少一个观测站时，这些闭式算法往往无法提供可靠解。针对这一问题，提出一种最小化观测站数目的到达时间差（TDOA）与到达频率差（FDOA）定位算法。该算法是一种闭式解法并且能够在三维场景下仅使用4个观测站进行定位。该算法分为两步：第1步分离传统的TSWLS算法中未知参数空间，建立了一组新的等式，并且利用加权最小二乘（WLS）算法得到目标位置与速度的初始值；第2步利用泰勒级数展开算法将中间变量线性化，对目标位置和速度初始值进一步校正。理论分析证明了在适当的噪声水平下该算法能够达到克拉美罗界（CRLB）。此外，计算机仿真表明仅使用4个观测站时，该算法对于近场以及远场目标参数的估计精度在测量噪声较小时可以实现CRLB；并且还表明使用5个观测站估计时，该算法比TSWLS及其改进算法能更好地适应大的测量噪声。     

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.     

绿色技术创新对企业成长绩效的影响——基于研发投入强度的调节作用

随着我国经济的高速发展,生态问题日渐凸显。通过技术创新处理好经济发展和生态效益的关系成为实现绿色发展的内在要求。本文利用94家创业板制造业上市公司2014—2017年的数据,采用广义最小二乘法对绿色技术创新、研发投入强度与企业成长绩效之间的关系进行实证分析,探讨了绿色技术创新对企业成长绩效的直接影响,并对研发投入强度的调节作用进行分析。结果显示:绿色技术创新对企业成长绩效具有显著的正向影响;研发投入强度对绿色技术创新与企业成长绩效的关系产生显著的负向调节作用。     

几种生长模型参数的最小二乘估计方法及应用

提出一种Logistic模型、Gompertz模型、Mitscherlich模型和Bertallanffy模型的分布参数估计方法，这种方法以加权最小二乘法为基础，推导求解分布参数的方程组。利用这类曲线模型中参数形式的特点，使同时求解三个参数的问题简化为同时求解两个参数的问题，并给出求解参数耦合方程组的二重二分迭代法。预测地基沉降的计算实例表明，这种方法对于迭代初值的选取要求较低、求解速度快、精度高，而且通过选取权因子可以对已有数据实现“重近轻远”的处理。     

Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.