Design of a practical tracking algorithm with radar measurements

The extended Kalman filter (EKF) has been widely used as a nonlinear filtering method for radar tracking problems. However, it has been found that if cross-range measurement errors of the target position are large, the performance of the conventional EKF degrades considerably due to nonnegligible nonlinear effects. A new filtering algorithm for improving the tracking performance with radar measurements is developed based on the fact that correct evaluation of the measurement error covariance is possible in the Cartesian coordinate system. The proposed algorithm may be viewed as a modification of the EKF in which the variance of the range measurement errors is evaluated in an adaptive manner. The filter structure facilitates the incorporation of the sequential measurement processing scheme, and this makes the resulting algorithm favorable to both estimation accuracy and computational efficiency. Computer simulation results show that the proposed method offers superior performance in comparison to previous methods. Moreover, our developed algorithm provides some useful insight into the radar tracking problem     

Correlation between horizontal and vertical monopulse measurements

Many radar systems use the monopulse ratio to extract angle of arrival (AOA) measurements in both azimuth and elevation angles. The accuracies of each such measurement are reasonably well known: each measurement is, conditioned on the sum-signal return, Gaussian-distributed with calculable bias (relative to the true AOA), and variance. However, we note that the two monopulse ratios are functions of basic radar measurements that are not entirely independent, specifically in that the sum signal is common to both. The effect of this is that the monopulse ratios are dependent, and a simple explicit expression is given for their correlation; this is of considerable interest when the measurements are supplied to a tracking algorithm that requires a measurement covariance matrix. The system performance improvement when this is taken into account is quantified: while it makes little difference for a tracking radar with small pointing errors, there are more substantial gains when a target is allowed to stray within the beam, as with a rotating (track-while-scan) radar or when a single radar dwell interrogates two or more targets at different ranges. But in any case, the correct covariance expression is so simple that there is little reason not to use it. We additionally derive the Cramer-Rao lower bound (CRLB) on joint azimuth/elevation angle estimation and discover that it differs only slightly from the covariance matrix corresponding to the individual monopulse ratios. Hence, using the individual monopulse ratios and their simple joint accuracy expression is an adequate and quick approximation of the optimal maximum likelihood procedure for single resolved targets.     

一种超高分辨率机载聚束SAR两维自聚焦算法

受运动参数测量误差和大气扰动等因素影响,合成孔径雷达(SAR)图像通常会发生散焦,利用自聚焦对散焦的SAR图像进行后处理是一种有效的重聚焦手段。传统的自聚焦算法都只是针对方位一维相位误差的估计和补偿。随着成像分辨率的提高,自聚焦时残留距离徙动的校正成为SAR成像面临的一个新挑战。本文推导得到了极坐标格式算法处理后残留距离徙动和方位相位误差的解析表达式,分析了两者之间的内在关系,并利用该关系,提出了一种能够同时进行残留距离徙动和方位相位误差补偿的两维自聚焦算法。实测数据处理结果表明,在残留距离徙动效应不可忽略的条件下,该方法能够极大地改善原有自聚焦算法的聚焦性能。     

一种新的非平行轨迹机载双站斜视SAR成像算法(英文)

本文提出了一种用于非平行轨迹机载双站斜视SAR条带模式成像的新的解析算法。该算法用收、发雷达的多普勒调频率贡献比为加权系数推导了点目标回波的二维频谱。通过解目标位置相对于收、发载机飞行轨迹的耦合,将这个二维频谱中目标的距离参数和方位参数进行了分离。在二维频域内,补偿掉双站扭曲项后利用二维Chirp-Z变换(2D-CZT)校正了距离向和方位向的徙动,获得了精确聚焦的目标图像。雷达回波的二维残余徙动用沿距离向和方位向的分块来限制,推导了数据分块的条件,由此可以实现宽场景成像。仿真试验验证了这种2D-CZT算法的有效性。     

一种机载雷达机械扫描空域稳定改进算法

机载雷达在载机机动时,为保证天线视线空域指向范围不变,采用空域稳定的算法。当给定的方位和俯仰指令不在同一坐标系时,采用传统的算法会使得实际的空域与理想空域在载机机动幅度较大时有很大误差。文章提出一种算法,使得雷达扫描中心精度与期望值十分接近。同时,对于坐标转换中方位和俯仰的指令间覃相影响引起的俯仰指向精度降低问题,提出...     

3-D E-CSAR imaging of a T-72 tank and synthesis of its SAR reconstructions

The results of three-dimensional (3-D) imaging of a T-72 tank using its angular azimuthal (turntable) and linear elevation synthetic aperture data at X band are presented. This is achieved using an accurate and computationally efficient wavefront (Fourier-based) reconstruction algorithm for elevation and circular (E-CSAR) data. The E-CSAR 3-D images are then used to synthesize 2-D spotlight and stripmap slant plane synthetic aperture radar (SAR) images of the target at a desired range and squint angle. For this purpose, a procedure is introduced that incorporates the spatially varying azimuthal and elevation Doppler signatures of individual reflectors on the target as well as the mean range, azimuth, and elevation of the flight path. Results using the E-CSAR images of the T-72 tank are provided.     

基于二维逆滤波的机载SAR 自聚焦算法

在聚束合成孔径雷达(SAR)自聚焦处理时,残留距离徙动(RRCM)必须在自聚焦处理之前完全去除,否则 将会严重降低自聚焦的性能。本文提出了一种基于二维逆滤波的自聚焦算法,该算法在补偿相位误差的同时也补 偿掉距离和方位的二维耦合相位,消除了RRCM对自聚焦的影响,提高了逆滤波自聚焦算法的性能。最后通过实 测数据处理验证了本文提出的二维逆滤波自聚焦算法的有效性。     

A Velocity Estimation Algorithm of Moving Targets using Single Antenna SAR

A new algorithm is proposed for velocity estimation of moving targets in single antenna synthetic aperture radar (SAR). Based on the fact that different velocity vectors cause different geometrical figures of the two-dimensional (2-D) signature in the range-Doppler (RD) domain, this algorithm estimates the azimuth and range velocities by a 2-D search such that the range cell migration correction (RCMC) and the second range compression (SRC) are correctly performed. It is shown that, using the proposed algorithm, the Doppler ambiguity problem can be avoided and satisfactory accurate velocity estimation can be obtained in high signal-to-clutter ratio (SCR) scenarios.     

应用卡尔曼滤波的机载雷达跟踪系统

本文论述将滤波理论应用于机载雷达中对单个目标进行距离、速度、方位角和高低角跟踪的多环反馈系统。首先根据目标和天线的相对运动建立控制四坐标跟踪环所需的状态矢量微分方程,然后推导相应的非线性滤波算法。最后给出计算机的模拟结果。计算机模拟的结果清晰地说明采用最佳滤波的系统性能比通常的有很大改善,并且这种瞄准轴坐标系的最佳系统对目标的随机机动是不灵敏的。 本文所讨论的方法和得出的结论可以延用到地面雷达、舰载雷达以及其他有源和无源的跟踪系统。     

Interferometer Design for Elevation Angle Estimation

Radars that are developed for the purpose of monitoring aircraft landings in the terminal air traffic control system can be designed to exploit the relatively high signal-to-noise ratio that characterizes the power budgets calculated for such a link. An interferometer using a pair of low gain antennas can be used to obtain passive coverage over a targe azimuth and elevation sector. A large baseline can be used to obtain the desired elevation angle estimation accuracy. In this paper an optimal tradeoff between the width of the subarray aperture and the width of the interferometer baseline is performed that achieves a specified elevation angle estimation error while minimizing the overall height of the interferometer configuration. The algorithm searches through the class of antenna patterns that can be synthesized from so-called finite impulse response, linear phase digital filters. For the specific problem of designing an elevation sensor for monitoring landing aircraft on final approach, the elevation angle can be estimated with no more than 1-mrad rms error when the aircraft is within ± 60° azimuth, 2.5° to 40° elevation, using two 7-wavelength subarray antennas spaced 8 wave-lengths apart. The design of a separate sensor for resolving the interferometer ambiguities is formulated as a hypothesis testing problem and solved using statistical decision theory. A bound on the probability of an ambiguity error is derived that accounts for the effects of ground reflection multipath and receiver noise.     

High Range-Resolution Monopulse Tracking Radar

High range-resolution monopulse (HRRM) tracking radar which maintains wide instantaneous bandwidth through both range and angle error sensing channels provides range, azimuth, elevation, and amplitude for each resolved part of the target. The three-dimensional target detail can be used to improve and extend radar performance in several ways: for improved precision of target location, for target classification and recognition, to counter repeater-type ECM, to improve low-angle multipath tracking, to resolve multiple targets, as a miss-distance measurement capability, and for improved tracking in chaff and clutter. These have been demonstrated qualitatively except for the ECCM to repeater ECM and low-altitude tracking improvement. Initial results from an experimental HRRM radar with 3-ns pulse length show resolution of aircraft into its major parts and precise location of each resolved part accurately in range and angle. Realtime closed-loop tracking is performed on aircraft in flight using high-speed sampled, digitized, and processed HRRM range and angle video data. Clutter rejection capability is also demonstrated.     

飞机等效系统的在线辨识及其微机实现

引言 等效系统法是国外提出的评价带有复杂控制系统的飞机飞行品质的一种较有效的方法。它的基本思想是寻找一个带有等效时间延迟的低阶系统,使该系统具有或近似保留给定增稳飞机的高阶系统输出响应的主导特性,然后将低阶系统参数与规范要求相比     

一种基于雷达波束驻留模式的空间碎片轨道参数估计方法

利用窄波束的单脉冲精密跟踪雷达波束驻留模式进行碎片探测是空间碎片环境统计特征描述的一种重要途径。由于该模式观测弧段极短,且无法获取同一目标的多个弧段,因而利用常规定轨方法难以达到理想的效果。在圆轨道假设下,提出了一种利用波束驻留模式获取的单个极短弧计算碎片轨道高度和倾角的方法。首先利用碎片的距离确定其轨道高度;在此基础上,根据推导出的不同波束指向时碎片的距离变化率与轨道倾角的关系,得出其轨道倾角。该方法对于正南、正东指向的雷达波束驻留模式均适用,其中正南指向时还需利用方位角和仰角数据来区分轨道倾角与补角;但不适用于波束指向天顶的情况。仿真结果验证了方法的有效性。     

一种中频雷达模拟器的设计

设计出了一种中频雷达模拟器的硬件,阐述了该模拟器总体组成和工作过程,以及各部分的组成和工作原理。该模拟器可以产生单脉冲体制下的一组固定目标的和、差模拟中频回波信号和动目标和、差模拟中频回波信号;可以在联机或独立2种工作状态下,产生常规脉冲、线性调频脉冲等多种雷达中频回波。该模拟器适用于相控阵雷达等多种新体制跟踪雷达的调试和训练。     

Quadratic extended Kalman filter approach for GPS/INS integration

GPS/INS integration system has been widely applied for navigation due to their complementary characteristics. And the tightly coupled integration approach has the advantage over the loosely coupled approach by using the raw GPS measurements, but hence introduces the nonlinearity into the measurement equation of the Kalman filter. So the typical method for navigation using measurements of range or pseudorange is by linearizing the measurements in an extended Kalman filter (EKF). However, the modeling errors of the EKF will cause the bias and divergence problems especially under the situation that the low quality inertial devices are included. To solve this problem, a quadratic EKF approach by adding the second-order derivative information to retain some nonlinearities is proposed in this paper. Simulation results indicate that the nonlinear terms included in the filtering process have the great influence on the performance of integration, especially in the case that the low quality INS is used in the integrated system. Furthermore, a two-stage cascaded estimation method is used, which circumvents the difficulty of solving nonlinear equations and greatly decreases the computational complexity of the proposed approach, so the quadratic EKF approach proposed in this paper is of great value in practice.     

Precision tracking algorithms for ISAR imaging

The simultaneous imaging and tracking of a moving target is one of the most difficult problems in inverse synthetic aperture radar (ISAR) signal processing. The problem is addressed here using a two-antenna imaging radar. The target range shift is sensed with an exponentially averaged envelope correlation algorithm while the angle change is measured with a differential phase shift algorithm. The three state Kalman filters are used in range and azimuth dimensions to provide both a filtered estimate and a one-sample-ahead prediction for the purpose of target tracking. The filtered range shift provides an accurate information for range bin alignment, and the target angle change provides the angular positions of the synthetic array elements. Therefore, the ISAR imaging simply becomes processing of a circular-arc aperture. The algorithms are verified both by computer simulations and also with experimental data processing     

陆用惯性导航系统非线性对准方法

以某型自行火炮炮载惯性导航系统为研究对象。为解决大方位失准角造成的系统非线性问题,在对大失准角误差模型进行详细分析的基础上,提出了基于快速正交搜索（FOS）和卡尔曼滤波（KF）的非线性参数估计方法。利用事先训练好的非线性误差模型进行对准,既能消除线性姿态误差,又可以对非线性姿态误差起到良好的抑制作用。仿真结果表明,FOS/KF方法的对准精度和实时性远优于扩展卡尔曼滤波（EKF）。对比试验结果表明,单独使用EKF时的方位角误差最大达到14.99°,而FOS/KF可以使方位角误差保持在0.8°以内。FOS/KF方法的估计精度不随系统非线性程度的变化而变化,并且不需要进行粗对准,简化了对准过程,提高了载体机动性。     

一种SAR原始数据压缩新算法

 由于合成孔径雷达（SAR）原始数据的相关性很低,直接压缩原始数据是比较困难的。因此提出一种新算法,先对SAR原始数据做距离聚焦处理,使其在方位向具有较强的相关性,再沿方位向做线性预测,并对预测差值系列做块自适应量化。实验表明,在相同比特率条件下,该算法得到的数据域信噪比和图像域信噪比均比块自适应量化(BAQ)算法高,计算量远小于有关文献给出的距离聚焦后的压缩方法,具有一定实用价值。     

一种非线性滤波器的误差分析及应用

针对一类具有未建模误差和扰动的非线性系统的状态估计问题,提出一种在线估计并补偿模型误差的非线性滤波算法,该算法利用非线性预测滤波(NPF)基于预测输出残差的方差最小的基本原则估计模型误差,冉利用扩展卡尔曼滤波(EKF)的思想对补偿后的模型进行状态估计;详细推导了状态估计误差及其方差阵的传播模型.以卫星姿态确定系统为例,...     

结合视线方向运动补偿的滑动聚束SAR子孔径成像算法

滑动聚束合成孔径雷达(SAR)是一种新兴的成像模式,既可以提高方位向分辨率又能够扩展成像范围。其数据处理时需要考虑两个关键问题:一是系统脉冲重复频率(PRF)不足,方位向信号发生混叠;二是合成孔径长度的增加使运动误差的影响更为突出,运动补偿(MOCO)精度要求提高。基于子孔径技术,提出了一种改进的高分辨率成像算法。划分子孔径克服了PRF不足的问题;子孔径数据处理采用结合视线(LOS)方向运动补偿的Omega-K算法,实现更高精度的运动补偿,提高了聚焦质量。最终的方位向分辨率达到0.1 m,具有实际工程应用价值。点目标仿真和实测数据处理验证了算法的有效性。