对空情报雷达网密集假目标干扰机理分析

针对雷达网欺骗干扰问题,首先讨论了雷达网数据关联处理方法薄弱环节,给出了可以欺骗雷达网的假目标应该满足的条件,然后分析对空情报雷达网密集假目标干扰的产生机理和作用机理,为产生高逼真的假目标,将空间分布转化为非线性最优化问题。当进行多干扰机协同干扰时,将干扰机功率资源在空间的分配问题转化为非线性规划问题。仿真研究了对网络化雷达的假目标欺骗干扰效果以及影响干扰效果的因素,该结果可为对空情报雷达网电子对抗提供理论指导。     

阵列天线在UXB系统标校中的应用

测量船基地现有标校塔与测量船距离只有980 m,无法满足高频段统一X频段（UXB）系统天线的远场标校距离条件。针对这一难题,提出了一种利用阵列天线合成准平面波的方法,实现在近场距离条件下的远场标校。在现有标校塔上架设安装阵列天线设备,利用16个单喇叭天线组成4×4的天线阵,并通过控制单个喇叭天线元的幅度和相位,使得传播到测量船UXB天线口面处由阵列天线合成的电磁波是准平面波,满足X频段天线远场标校要求。综合运用最优化理论和遗传算法,对阵列天线元的幅度和相位权值进行调节和优化,使得合成的电磁波更为接近准平面波。计算机仿真实验和外场条件下的实际测试均验证了该方法生成的准平面波能够满足UXB天线远场标校要求。     

快速校正天波雷达电离层相位污染的改进方法

时变的电离层会对天波超视距雷达(OTHR)回波信号相位进行调制,产生相位污染,导致回波谱展宽。最大似然估计(MLE)法具有比相位梯度法更佳的污染校正效果,但计算量非常大。通过引入投影近似子空间跟踪法,提出了一种改进的MLE方法。改进方法采用递归手段估计最大特征值对应的特征向量,避免了特征值分解过程,能够显著降低计算量,污染校正效果与MLE法相当。理论分析与仿真对比表明改进方法普适性强,计算量只有MLE法的万分之一,更适合工程实现。     

天地一体化超视距雷达的激励源设计

针对单通道天地一体化超视距雷达不能多站组网的问题,设计了一种新型的激励源系统。系统利用现场可编程门阵列（FPGA）和通用串行总线（USB）实现多路发射通道控制,并通过直接数字式频率合成器（DDS）产生初始相位周期变化的线性调频波。理论分析表明,回波信号经过两次频谱变换能产生特定的多普勒频移,从而在多普勒频谱上被展开,实现信号多发一收。实验结果验证了激励源设计的可行性,可用于多站同步观测。     

Dynamic programming for valuing American options under a variance-gamma process

Lévy processes provide a solution to overcome the shortcomings of the lognormal hypothesis. A growing literature proposes the use of pure-jump Lévy processes, such as the variance-gamma (VG) model. In this setting, explicit solutions for derivative prices are unavailable, for instance, for the valuation of American options. We propose a dynamic programming approach coupled with finite elements for valuing American-style options under an extended VG model. Our numerical experiments confirm the convergence and show the efficiency of the proposed methodology. We also conduct a numerical investigation that focuses on American options on S&P 500 futures contracts.     

基于双通道相位同步修正的距离零值校准

双通道接收机是测控雷达实现大姿态飞行目标跟踪测量的常规设备，也是高精度雷达通用的链路配置形式。采用常规的距离零值标校方法对该类型系统进行标校，稳定性较差，精度不高，无法达到亚米级距离零值的校准目的。在传统标校方法的基础上，融合双通道相位同步修正技术，优化了系统距离零值标校方法。仿真和测试结果结果表明，50 dB动态条件下零值校准精度优于1 m，弥补了传统标校方法的不足，可以作为工程方法推广使用。     

超高分辨率PolSAR图像去噪对极化特征的影响

随着超高分辨率极化合成孔径雷达(PolSAR)图像数据的出现，有必要对PolSAR图像的去噪过程对于极化分解结果的影响进行评测。相干斑去噪过程的实施将对观测场景中的PolSAR图像原有极化属性产生不同程度的影响，这将会导致分解结果出现偏差。以非相干分解模型为评估对象，以喷气推进实验室(JPL)提供的开源机载超高分辨率PolSAR系统数据为实验样本，提出了一种利用绝对相对误差的定量评测方法。评测结果显示：对于超高分辨率图像，相干斑噪声的影响明显变小，分解窗口可相应的缩小为7×7的尺寸。研究结果对于PolSAR图像的后期遥感应用中的参数选择具有重要参考意义。     

Existence of a calibrated regime switching local volatility model

By Gyöngy's theorem, a local and stochastic volatility model is calibrated to the market prices of all European call options with positive maturities and strikes if its local volatility (LV) function is equal to the ratio of the Dupire LV function over the root conditional mean square of the stochastic volatility factor given the spot value. This leads to a stochastic differential equation (SDE) nonlinear in the sense of McKean. Particle methods based on a kernel approximation of the conditional expectation, as presented in Guyon and Henry‐Labordère [Risk Magazine, 25, 92–97], provide an efficient calibration procedure even if some calibration errors may appear when the range of the stochastic volatility factor is very large. But so far, no global existence result is available for the SDE nonlinear in the sense of McKean. When the stochastic volatility factor is a jump process taking finitely many values and with jump intensities depending on the spot level, we prove existence of a solution to the associated Fokker–Planck equation under the condition that the range of the squared stochastic volatility factor is not too large. We then deduce existence to the calibrated model by extending the results in Figalli [Journal of Functional Analysis, 254(1), 109–153].     

Logarithmic calibration for multiplicative distortion measurement errors regression models

In this article, we propose a new identifiability condition by using the logarithmic calibration for the distortion measurement error models, where neither the response variable nor the covariates can be directly observed but are measured with multiplicative measurement errors. Under the logarithmic calibration, the direct-plug-in estimators of parameters and empirical likelihood based confidence intervals are proposed, and we studied the asymptotic properties of the proposed estimators. For the hypothesis testing of parameter, a restricted estimator under the null hypothesis and a test statistic are proposed. The asymptotic properties for the restricted estimator and test statistic are established. Simulation studies demonstrate the performance of the proposed procedure and a real example is analyzed to illustrate its practical usage.     

基于一维距离像稀疏表达的无源假目标识别

为了解决敌方释放箔条干扰我方防空反击任务或者敌方舰船设置角反射器阵列干扰我方对海目标打击任务中的雷达抗干扰问题，提出了一种基于雷达一维距离像的稀疏表达的无源假目标识别的方法。首先，分别利用大量关注目标和无源欺骗干扰的雷达一维距离像数据进行稀疏字典学习，分别得到目标和干扰的稀疏字典；然后利用两种稀疏字典分别对未知的雷达一维距离像信号进行稀疏表达；最后分别计算两种稀疏字典对未知信号稀疏表达的重构误差，利用重构误差比值识别目标和干扰类别。仿真结果表明，在目标与无源假目标干扰的回波不混叠、目标与干扰噪声比3 dB条件下，识别无源假目标欺骗干扰的准确率超过90%，证明了该方法抗无源假目标干扰的有效性。