一种基于随机映射的战斗效能模型

利用随机映射概念提出了一种新的战斗毁伤模型形式———Lanchester战斗网络模型。模型是由一个阶递减的随机映射序列组成的随机有向二部图,它明确、形式地描述了战争整体行为与局部作用之间的关系。理论分析和计算获得的结论表明,模型描述的整体作战效能符合Lanchester平方律,其网络拓扑结构是非同质的,出度和入度分布服从指数幂律。应用模型定量对比了“对称”与“非对称”战斗中全局信息因素对战斗系统整体效能的影响。初步讨论了网络模型研究在战争建模理论、实证和计算方法论上的意义。     

A novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise,minimum mean square variance criterion and least mean square adaptive filter

Underwater acoustic signal processing is one of the research hotspots in underwater acoustics. Noise reduction of underwater acoustic signals is the key to underwater acoustic signal processing. Owing to the complexity of marine environment and the particularity of underwater acoustic channel, noise reduction of underwater acoustic signals has always been a difficult challenge in the field of underwater acoustic signal processing. In order to solve the dilemma, we proposed a novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), minimum mean square variance criterion (MMSVC) and least mean square adaptive filter (LMSAF). This noise reduction technique, named CEEMDAN-MMSVC-LMSAF, has three main advantages: (i) as an improved algorithm of empirical mode decomposition (EMD) and ensemble EMD (EEMD), CEEMDAN can better suppress mode mixing, and can avoid selecting the number of decomposition in variational mode decomposition (VMD); (ii) MMSVC can identify noisy intrinsic mode function (IMF), and can avoid selecting thresholds of different permutation entropies; (iii) for noise reduction of noisy IMFs, LMSAF overcomes the selection of decomposition number and basis function for wavelet noise reduction. Firstly, CEEMDAN decomposes the original signal into IMFs, which can be divided into noisy IMFs and real IMFs. Then, MMSVC and LMSAF are used to detect identify noisy IMFs and remove noise components from noisy IMFs. Finally, both denoised noisy IMFs and real IMFs are reconstructed and the final denoised signal is obtained. Compared with other noise reduction techniques, the validity of CEEMDAN-MMSVC-LMSAF can be proved by the analysis of simulation signals and real underwater acoustic signals, which has the better noise reduction effect and has practical application value. CEEMDAN-MMSVC-LMSAF also provides a reliable basis for the detection, feature extraction, classification and recognition of underwater acoustic signals.     

基于正态分布曲线的分段式变步长LMS算法

针对传统最小均方误差(Least Mean Square, LMS)自适应滤波算法由于步长固定,在解决稳态误差与收敛性之间的关系时,始终处于矛盾状态的问题,在对传统的固定步长LMS自适应滤波算法分析的基础上,根据变步长LMS自适应滤波算法的步长调整原则,通过构造步长因子与误差信号的非线性函数,提出了一种基于正态分布曲线的分段式变步长LMS自适应滤波算法,并分析了参数取值对算法性能的影响。针对实际信号处理过程中参考信号难以选取的问题,提出了一种基于分裂阵的参考信号选取方法。理论和海试数据分析结果表明:该算法的收敛速度和稳态误差明显优于固定步长的LMS自适应滤波算法和基于Sigmoid函数的变步长LMS自适应滤波算法。     

关于算子方程Tx=y扰动分析的一些结果

在Banach空间中给出了一种相容算子方程解的误差估计 ,推广了矩阵扰动分析中的相应结果 .此外 ,利用Hilbert空间中算子M -P广义逆与算子的约化极小模之间的关系 ,给出了一些估计式 ,这些估计式对于分析不相容算子方程Tx =y的极小范数最小二乘解的扰动误差是有用的     

A Squared-Chebyshev wavelet thresholding based 1D signal compression

In this paper a square wavelet thresholding method is proposed and evaluated as compared to the other classical wavelet thresholding methods (like soft and hard). The main advantage of this work is to design and implement a new wavelet thresholding method and evaluate it against other classical wavelet thresholding methods and hence search for the optimal wavelet mother function among the wide families with a suitable level of decomposition and followed by a novel thresholding method among the existing methods. This optimized method will be used to shrink the wavelet coefficients and yield an adequate compressed pressure signal prior to transmit it. While a comparison evaluation analysis is established, A new proposed procedure is used to compress a synthetic signal and obtain the optimal results through minimization the signal memory size and its transmission bandwidth. There are different performance indices to establish the comparison and evaluation process for signal compression; but the most well-known measuring scores are: NMSE, ESNR, and PDR. The obtained results showed the dominant of the square wavelet thresholding method against other methods using different measuring scores and hence the conclusion by the way for adopting this proposed novel wavelet thresholding method for 1D signal compression in future researches.     

基于偏最小二乘特征提取的支持向量机回归算法

为了提高SVM的建模质量,简化建模难度,提出了PLS-SVM组合回归建模方法.该方法通过PLS对样本数据进行降维、去噪以及消除共线性处理后,再进行SVM回归建模.不仅保持了SVM良好的模型性能,而且使SVM具备特征提取功能.实验结果表明,该方法是可行的,采用此法构建的SVM模型,泛化性能优于没有特征提取的SVM.     

高炮随动系统性能测量算法

针对火炮调炮精度检测中存在的不足, 提出了一种基于双目立体视觉的三重交会测量方法,在炮身管上附加球状标志物,利用CCD摄像机获取标志物图像,通过标志物成像的几何投影关系计算球心的三维坐标.为了降低图像识别误差的影响,对投影的识别位置进行拓展和细化,并对球心投影边界进行插值,摄像机光心与插值点连线射线形成了一个锥体,两摄像机的锥体分别与炮台球面相交形成曲面,计算两曲面公共部分的形心,即为球心位置.通过确定球心位置,对炮身管的高低角、方位角进行计算,从而检测火炮调炮的性能.实验证明,该算法简单、快速,具有较高的精度.     

KPLS-SVM在缺失飞参数据估计中的应用

飞行参数的缺失给飞行事故调查工作带来了很大困难.将核的偏最小二乘法与支持向量机耦合,建立基于状态匹配的飞行参数估计模型可以较好地解决缺失飞参数据的估计问题.首先将初始输入映射到高维特征空间,进而利用偏最小二乘法在特征空间中提取对缺失飞参数据影响较强的得分向量, 最后将提取的得分向量作为输入建立支持向量机模型.既克服了输入变量间的相关性问题, 又降低了支持向量机的输入维数.仿真也说明了使用该方法估计缺失飞行参数的可行性和有效性.     

反映作战协同的兵力损耗微分方程

基于现代战争作战体系对抗中作战单位损耗相关性,在兰彻斯特平方律基础上引入协同系数概念,加入相关性指标.建立了反映作战协同的兵力损耗微分方程.以作战双方各有两个作战单位参战的具体模型为例进行分析,给出了随战斗时间演变的作战双方兵力变化值,绘出了相应兵力损耗曲线.分析结果表明,在作战双方初始战斗力不等的情况下,协同水平的高低有可能成为决定战斗结果的关键因素.该兵力损耗模型对于研究现代协同作战具有一定意义.     

基于小波去噪半参数回归模型的卫星轨道测量数据预处理方法

由于卫星轨道测量数据中含有非线性误差,使用传统的最小二乘多项式拟合方法对其进行预处理必然会降低定轨精度.在半参数回归模型的基础上,应用小波阈值去噪算法估计并消除观测数据中存在的非线性误差,提出了基于小波去噪半参数回归模型的卫星轨道测量数据预处理方法,以提高数据预处理的精度.对某卫星USB跟踪数据应用该方法进行了仿真,仿真结果表明:该方法可以分离出观测数据中的白噪声和非线性误差,从而可以在观测数据中消除非线性误差的影响,提高数据预处理的精度.