Volterra Series Synthesis of Nonlinear Stochastic Tracking Systems

One of the most important objectives of a radar angle-tracking loop is to keep the target within the beamwidth of the radar antenna. Thus, the behavior of the antenna pointing error is of vital interest in determination of tracking performance. For a tracker with a general polynomial linearity (representing nonlinear receiver characteristics), subjected to constant line-of-sight rate inputs, random initial antenna pointing errors, and white Gaussian receiver noise, a method to obtain approximations to the transient mean and variance of the antenna pointing error as explicit functions of time is presented.     

Bandwidth maximization for satellite laser communication

Free space optical communication between satellites networked together can make possible high speed communication between different places on Earth. The basic free space optical communication network includes at least two satellites. In order to communicate between them, the transmitter satellite must track the beacon of the receiver satellite and point the information optical beam in its direction. The pointing systems for laser satellite communication suffer during tracking from vibration due to electronic noise, background radiation from interstellar objects such as Sun, Moon, Earth, and Stars in the tracking field of view, and mechanical impact from satellite internal and external sources. Due to vibrations the receiver receives less power. This effect limits the system bandwidth for given bit error rate (BER). In this research we derive an algorithm to maximize the communication system bandwidth using the transmitter telescope gain as a free variable based on the vibration statistics model and the system parameters. Our model makes it possible to adapt the bandwidth and transmitter gain to change of vibration amplitude. We also present an example of a practical satellite network which includes a direct detection receiver with an optical amplifier. A bandwidth improvement of three orders of magnitude is achieved in this example for certain conditions, as compared with an unoptimized system     

Optimum transmitter optics aperture for satellite opticalcommunication

An important aspect in satellite optical communication is to obtain minimum bit error rate (BER) using minimum power. This aim can be achieved with very small transmitter beam divergence angles. The disadvantages of too narrow divergence angle is that the transmitter beam may sometimes miss the receiver satellite, due to pointing vibrations. A mathematical model of communication and tracking systems that optimize the BER as function of the transmitter gain is derived     

惯导速度辅助下GPS接收机码环的噪声响应和动态跟踪性能分析

 本文推导了C/A码信号相干和非相干接收的GPS接收机码环的动力学方程,分析了码环的噪声响应和动态跟踪性能对码环带宽的矛盾要求,并提出了解决矛盾的方法:惯导速度辅助。分析结果表明:窄带宽码环经精度为1nmile/h的惯导系统速度辅助后,动态跟踪误差为无辅助时的1/1000,接收机将兼有抗强干扰和跟踪高动态的性能。     

GPS/SINS超紧组合导航的性能分析

GPS接收机在高动态环境下很容易失锁,特别是载体的高动态造成的应力对接收机载波跟踪环影响很大。为了解决高动态环境下的组合导航,分析了GPS接收机载波跟踪环的测量误差和跟踪门限,采用惯导速度辅助GPS接收机跟踪环路的超紧组合结构。超紧组合需要涉及到GPS接收机跟踪环内部编排及高动态环境下的实验数据,难度较大。针对超紧组合仿真专门开发了GPS实时软件接收机、高动态GPS中频信号仿真器和惯导模拟器并构建了一个完整的GPS/SINS超紧组合仿真系统。仿真结果表明,该超紧组合导航系统可以跟踪50g的加速度和10倍音速。     

多径效应对GPS载波相位观测量的影响

推导了ＧＰＳ接收机中多径效应引入的最大载波相位跟踪误差的闭合形式。得到以下结论：当直达信号跟踪误差不超过１码片时,最大载波测相多径误差为１／４周,该值出现在测码伪距多径误差最小的情况下;当直达信号跟踪误差超过或等于１码片时,接收机跟踪多径信号,信号误检发生。     

The Estimation of the "Center of Gravity" of a Photon Density Profile in Noise

A model for an optical position estimation system is developed employing the photon Poisson process theory. The position estimate is based upon the definition of a center of gravity (CG) of the power density profile of the optical source on the focal plane. An estimator structure is derived using maximum likelihood estimates of the image profile. The resulting estimate of the CG is shown to be unbiased and its variance is obtained. The variance is shown to depend upon the signal energy and noise level as well as upon the distance of the center from the initial counting point. Thus, a composite estimation system is presented which reduces the variance and yet yields a simple structure. Studies on star estimation have yielded position accuracies better than 0.1 seconds of arc for a 2.5 visual magnitude star in a background of equivalent intensity.     

Modeling and analysis for the GPS pseudo-range observable

In this paper, a digital system for the Global Positioning System (GPS) pseudo-range observable is modeled and analyzed theoretically. The observable is measured in a GPS receiver by accurately tracking the pseudorandom noise (PRN) code phase of the input GPS signal using a digital energy detector and a digital delay lock loop (DDLL). The following issues are presented: (1) mathematical modeling of the digital PRN code acquisition and tracking system, (2) the closed-form expression derivation for the detection and false-alarm probabilities of the acquisition process and for the variance of code phase tracking error, and (3) the linear and nonlinear performance analysis of the DDLL for optimizing the receiver structures and parameters with tradeoff between the tracking errors due to receiver dynamics and due to input noise     

BOC信号的相关跟踪研究及GALILEO接收机设计初探

Galileo卫星导航系统是欧盟组织研发的新一代完全面向民用的卫星导航系统,使用了BOC(二进制副载波)这一独特的调制方式,研究BOC信号的相关峰特性,对设计接收机捕获跟踪通道是至关重要的。本文简要介绍了Galileo系统导航信号的特征和频率规划,对多种BOC信号的自相关性能、码跟踪方法进行了仿真,并探讨了接收机开发中的关键问题。     

Experimental study in adaptive tracking control

The authors describe an experimental study of adaptive pointing and tracking control for flexible spacecraft conducted on a complex ground experiment facility. The algorithm used is based on a multivariable direct model reference adaptive control law. Several experimental validation studies performed using this algorithm for vibration damping and robust regulation are extended by addressing the pointing and tracking problem. As is consistent with an adaptive control framework, the plant is assumed to be poorly known to the extent that only system level knowledge of its dynamics is available. Explicit bounds on the steady-state pointing error are derived as functions of the adaptive controller design parameters. It is shown that good tracking performance can be achieved in an experimental setting by adjusting adaptive controller design weightings according to the guidelines indicated by the analytical expressions for the error     

Radar Tracking of Low-Altitude Targets

The antenna elevation control signal and the associated staticequilibrium equations are analyzed for the case of tracking of lowaltitude targets for both monopulse and conical-scanning radar. Three possible equilibrium positions of the radar antenna under static operating conditions are ascertained. The static solutions suggest certain dynamic solutions that are likely to arise under practical conditions. The extreme values of the pointing error are shown in graphical form.     

FLOLS误差源建模与仿真研究

菲涅尔光学助降系统(FLOLS)是典型的舰载机光学着舰引导系统。分析了影响FLOLS着舰引导精度的指示误差源和光学误差源,包括稳定平台跟踪误差、光源位置与理想着舰点位置偏差、光源温度、飞行员视觉误差,研究了FLOLS相关系统的工作原理和着舰引导误差的产生机理,建立了各误差源的数学模型。通过对FLOLS着舰过程进行重复仿真,使用标准偏差统计方法,得到各着舰引导误差的统计特性,进而得出各误差源影响着舰精度程度比较。     

卫星光通信APT控制系统H∞设计

 捕获瞄准跟踪(APT)控制系统的设计是影响整个星间光通信系统性能的重要因素。利用指向偏差的概率分布阐述了卫星光通信过程中捕获概率、跟踪误差及误码率受卫星平台振动和终端装置参数摄动的影响,通过功率谱分析了卫星平台振动在低频段、对象不确定性在高频段对指向偏差的影响,并对其进行了模型化分析。采用H_∞控制混合灵敏度设计方法同时抑制干扰和处理受控对象不确定性问题进行控制器设计。仿真验证表明该方法得到的控制器对平台干扰具有抑制力,对对象摄动具有鲁棒性。     

Imperfect Carrier Recovery Effect on Filtered PSK Signals

Coherent demodulation of a PSK signal requires the generation of a local carrier phase reference. Methods are given to determine the detection loss caused by noisy phase recovery and its use in the coherent detection of filtered BPSK and QPSK signals. It is assumed that the phase noise can have a static part and a random component with a Tikhonov-type distribution. The static part is mostly due to offset frequency tracking of the PLL used to recover the carrier, while the random component is due to thermal noise present in the carrier recovery loop and is also due to the random nature of the phase modulation. It is shown that the probability of error of BPSK and QPSK can be expressed as a finite sum of a set of strictly alternating converging series when the number of ISI terms is finite. Upper and lower bounds on the probability of error have been derived when this number becomes infinite and we show how this error rate can be computed with any desired accuracy. Numerical results are presented for various values of static error and phase noise variance when the transmit and receive filters are 4-pole Butterworth filters. For filtered PSK signals and for a bit error rate of 10-6, our results show that the additional degradation in presentday receiver systems due to imperfect carrier recovery can be less than 0.1 dB for BPSK and less than 1 dB for QPSK.     

北斗导航接收机频率稳定度传递算法

为了提高北斗导航接收机的灵敏度,提升其弱信号跟踪能力,通常需要利用长时间的相干积分来提高环路信噪比。但是,当相干积分时间加长到一定程度时,环路性能反而有所下降,信噪比提升也不能达到理论值。针对由剩余频率误差和晶振误差引起的相干积分能量损失问题,主要研究了频率偏差对环路跟踪性能的影响,并提出了利用频率稳定度传递策略辅助弱信号跟踪的方法,解决了北斗导航接收机弱信号跟踪性能提升的问题,最大程度地改善了相干积分的效果,实现了对弱信号的跟踪。利用软件接收机平台对提出的频率稳定度传递算法进行验证,仿真结果表明该算法可使环路信噪比提升4dB ~5dB,充分说明了其可行性及有效性。     

光电探测系统指向误差分析、建模与修正

针对光电探测系统(EODS)的高精度指向要求,提出一种基于半参数同归模型(SPRM)的改进算法.全面分析了误差来源,如光学系统的光轴一致性误差、机械框架的垂直度和回转误差、控制系统的稳定跟踪误差等,采用多体系统运动学理论,建立了具有明确物理意义的指向误差线性模型.同时,针对系统中的非线性误差因素,提出了半参数回归模型改...     

面向协同standoff跟踪问题的无人机制导律

针对多无人机（UAV）协同standoff跟踪问题,提出了UAV的横侧向和纵向制导律。对参考点制导（RPG）进行改进,作为UAV的横侧向制导律。然后,采用一组非线性微分方程对UAV和目标相对距离的调节过程进行建模,在此基础上证明了改进RPG的渐近稳定性,并推导了RPG参数与系统性能的关系,为RPG参数的选取提供了依据。最后,给出了UAV的纵向制导律,并分析了其渐近稳定性。仿真结果表明,改进RPG的跟踪误差和时间乘以误差绝对值积分（ITAE）指标均优于Lyapunov向量场制导（LVFG）和模型预测控制（MPC）,故改进RPG具有更快的响应速度和更高的稳态精度。     

On the Performance of Some Sequential Multiple-Decision Procedures

The performance of several sequential procedures for the following multiple-decision problem is investigated. Samples from k random processes (or populations) are available, k at a time (one from each process), to a receiver or data processor. One process contains a signal; the other k - 1 are statistically identical noise. The receiver is to select the odd process (locate the signal), with prescribed probability of error. The optimal receiver makes the selection in minimum average time. Analytical and Monte Carlo computations were performed under the hypothesis that the processes sampled are Rayleigh; however, a method for extrapolating results to other cases is given. The parameter k is allowed to vary from 2 to 1000.     

一种卫星导航接收机固定多波束抗干扰方法

自适应波束形成抗干扰性能受先验信息、通道幅相误差等因素影响较大,在工程应用中实现复杂,鲁棒性较差。针对这一问题,提出了一种卫星导航接收机固定多波束抗干扰方法,该方法将信号空间分为多个子空间,通过最优分配策略选取多个子空间分别实现固定波束指向,并相应地在每个波束后配置独立的卫星捕获跟踪通道组,然后依据最高信噪比准则在所有的子空间中优选卫星进行定位解算。该方法无需先验信息辅助,在抑制干扰信号的同时对卫星信号形成接收增益,在存在工程误差的实际条件下可达到与典型自适应波束形成算法相当的抗干扰性能,且具有鲁棒性强、更易工程实现等优点。最后,通过计算机仿真验证了该方法的有效性。     

Waveform selective probabilistic data association

An adaptive, waveform selective probabilistic data association (WSPDA) algorithm for tracking a single target in clutter is presented. The assumption of an optimal receiver allows the inclusion of transmitted waveform specification parameters in the tracking subsystem equations, leading to a waveform selection scheme where the next transmitted waveform parameters are selected so as to minimize the average total mean-square tracking error at the next time step. Semiclosed form solutions are given to the local (one-step-ahead) adaptive waveform selection problem for the case of one-dimensional target motion. A simple simulation example is given to compare the performance of a tracking system using a WSFDA based tracking filter with that of a conventional system with a fixed waveform shape and probabilistic data association (PDA) tracking filter.