The Effect of Random Steering Vector Errors in the Applebaum Adaptive Array

The effect of random errors in the steering vector of an Applebaum adaptive array is examined. Each component of the steering vector is assumed to have a random error component uncorrelated between elements. The array output signal-to-interferenceplus-noise ratio (SINR) is computed as a function of the error variance. It is shown that the array output SINR becomes more sensitive to steering vector errors as more elements are added to the array and as the received desired signal power becomes larger. The variance of the steering vector error that may be tolerated depends on the required desired signal dynamic range. The larger the dynamic range that must be accommodated, the smaller the error variance must be.     

Effect of Random Synchronization Errors in PN and PSK Systems

The effect of a constant synchronization error on PN systems has been studied by Gill [1]. His results are generalized here for random synchronization errors, and extended to PSK systems using decision directed channel measurements [2]. In both cases, it is shown that the effect of random synchronization errors is to reduce the effective input signal power and to introduce an additional self-noise. The effect is minimized when the synchronization error has zero mean and can easily be evaluated in terms of circuit parameters.     

Pointing Error Statistics in Optical Beam Tracking

In tracking optical beams from a source, a pointing error signal is derived from photodetecting the field in the receiver focal plane. This error signal is then used in some manner to control a gimballed system that continually points the receiver optics toward the source. When the source field undergoes turbulent transmission, the optical beam is attenuated and scattered, and the field is randomly defocused at the receiver. In this case the pointing error of the tracking system will evolve as a random vector process in time, statistically related to the random scattering, the photodetection process, and the dynamics of the gimballing system. Such vector processes have probability densities that satisfy well-known differential equations. These equations are derived in terms of accepted scattering models and tracking systems, assuming quadranttype error detectors are used in the focal plane. Approximate solutions are obtained and analyzed for typical operating conditions, and the manner in which the degree of scattering degrades the entire pointing operation is shown.     

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.     

光纤陀螺随机振动条件下输出信号的相关检测

对光纤陀螺振中输出信号进行频谱分析,发现在某些频率点下幅值很大,造成振动过程中陀螺存在较大的振中零偏漂移。本文提出了采用相关检测技术对误差信号进行分析的方法,理论仿真表明相关检测可提取噪声中隐含的周期性信号,研究发现了陀螺机械封装及工装固定是产生上述试验现象的主要影响因素,提出了相应的改进方案并进行了试验验证。试验证明理论分析正确,改进方案使陀螺振中零偏漂移降低了一个数量级。     

光纤陀螺惯导稳定平台与旋转调制方法

光纤陀螺仪在随机误差方面表现出极佳的性能优势,但受限于其标度因数不理想的现实。针对航海用长航时、高精度光纤陀螺惯导系统的使用需求,设计了基于光纤陀螺数字信号实现载体三维角运动隔离的同时完成惯性测量装置的旋转调制功能,可有效减小光纤陀螺标度因数误差与载体运动角速度的耦合误差,同时充分发挥光纤陀螺随机游走小的精度优势。理论仿真验证了光纤惯导稳定平台加旋转调制方法的优越性和可行性,为光纤陀螺惯导系统在高精度导航领域中的应用提供了技术基础。     

航天器DOR信号本地相关处理的建模与仿真

详述了DOR（差分单向测距）信号的本地相关处理方法。首先根据轨道预报确定先验时延模型值,利用高精度频率估算方法估计航天器DOR信号的星上发射频率,然后通过时延模型值与频率估计值构造DOR本地模型信号,再将此模型信号分别与测站接收的DOR实测信号进行互相关运算,提取相关相位,解算高精度时延观测量。推导了DOR信号本地相关处理的数学模型,通过信号仿真验证了该方法的有效性,在仅考虑系统噪声影响与轨道预报误差的条件下,仿真时延测量精度达到0.1 ns,为深空航天器精密轨道测量提供了一种可借鉴的技术方法。     

空气涡轮起动机调压装置AMESim建模与仿真

根据空气涡轮起动机ATS(air turbine starter)系统中调压装置(该装置为一个多气动部件组成的压力闭环控制系统)的结构特点及工作原理,通过理论分析建立了其数学模型,采用模块化方法设计了调压装置的AMESim仿真模型.以某型ATS为应用对象,分别在斜坡输入、随机方波输入、阶跃输入及正弦输入下进行系统输出压力仿真.结果显示在不同输入下的压力输出基本恒定,典型工作状态仿真数据与试验数据比较,误差小于3%,表明建模方法是正确的,所建模型可满足工程要求.      

Infrared Systems: I. Accuracy of Angle Measurement

In this paper expressions are derived for the error in position measurement for the problem of estimating the position of an infrared target in a random background and the combined prob lem when white detector noise is also affecting the estimation. Space filters performing linear scanning, nutation, and rotation are considered. A linear scanning infrared system is then considered in greater detail. The noise on the error signal is calculated, taking into account both the estimation error, as discussed in the first part, and "false alarms" occurring in the scan area far from the target.     

宽带信号角跟踪和四通道单脉冲方案

分析了宽带信号角跟踪的特殊问题及其实现方案。基于互相关函数的角误差检测方法,推导出了在非相关噪声及相关噪声背景下差路信号的输出信噪比及其角度随机误差的数学表达式,进而给出了带宽增益和最佳带宽的概念,以及提高输出信噪比的方法。为了在低载噪比（C/N）时获得角捕获所需要的和路信号以及差路的归一化信号,提出了四通道单脉冲方案。最后归纳出了低C/N时宽带信号角捕获和角跟踪的几种方法并提出了建议。     

数字闭环光纤陀螺的调制串扰误差

 通过分析数字闭环光纤陀螺的阶梯波调制信号与输出死区、周期噪声干扰及小角速度漂移的关系,提出了调制串扰误差的概念。指出调制信号与探测器输出信号之间的电交叉耦合及调制信号产生的调制误差是产生调制串扰误差的干扰源。将调制串扰通道模型简化为比例环节和部分积分环节,并和光纤陀螺理想模型结合,建立了光纤陀螺调制串扰误差模型,利用该模型推导出了产生死区的条件及周期噪声干扰和小角速度漂移造成的输出偏差表达式,并对周期噪声的幅值、频率与陀螺输出量级、带宽之间的关系进行了定量分析。调制串扰误差的仿真和实验结果与理论分析结果基本一致,验证了调制串扰误差模型的正确性。     

用自助法估计外弹道测量数据随机误差分布特性

针对外弹道测量数据的有限性使随机误差的分布估计不够准确的问题,提出了基于Bootstrap（自助）方法的外弹道测量数据随机误差分布特性估计。首先对测量数据采用样条分频技术得到随机误差的初步估计,然后采用三次多项式拟合修正样本经验分布函数,替换传统Bootstrap方法中经验分布函数,得到随机误差的Bootstrap样本,计算Bootstrap样本的统计量,从而得到精度较高的外弹道测量数据随机误差模型。从仿真数据验证结果来看,解决了传统Bootstrap方法仿真随机样本相对比较集中的问题。     

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.     

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。     

相同发动机试验程序交叉校准的测量不确定度

为了比较发动机的测量方法和测量结果 ,在北约五个国家的八个试验设备上用AGARD/PEP的相同发动机试验程序 (UETP)对两台发动机进行了试验。报告中主要按Abernethy推荐的方法评定测量不确定度 ,总的测量不确定度可分解为随机误差和系统误差。试验结果表明随机误差较小 ,但参加交叉校准各设备之间存在着较大的系统误差。     

基于EMD-SVR的光纤陀螺随机误差预测

为了提升光纤陀螺随机误差建模的准确性及补偿结果,提出了一种基于经验模态分解与支持向量机结合的随机误差预测方法。鉴于随机误差的非线性及不稳定性,直接进行预测时精度不高,采用经验模态分解对原始数据进行分解以降低时间序列的复杂程度;然后根据经验模态分解得到的各本征模态函数及趋势序列,构建基于支持向量机的预测模型;再将所得的各分量的预测结果综合以得到光纤陀螺随机误差的预测结果。以光纤陀螺随机误差数据作为验证,结果表明,相较于传统的预测方法,均方根误差与平均绝对误差分别降低了78.4%和75.5%,有效提高了回归精度。     

陀螺RRW在惯导系统中的误差传播特性

角速率随机游走是高精度光纤陀螺的一项主要随机误差源,对惯性导航系统的误差有着较大影响。分析了角速率随机游走的统计特性,推导了角速率随机游走引起的惯性导航系统姿态、位置误差的解析表达式,研究了静基座环境下的惯性导航系统在长时间导航环境下的随机误差传播规律,对角速率随机游走作用下的惯性导航系统误差进行了仿真与实验,验证了所推导公式的正确性,对惯性导航系统的设计与误差分析具有一定的参考意义。     

Tracking the Frequency Translation of a Sum of Orthogonal Sinusoids

The maximum likelihood approach is used to derive a method for estimating and tracking the frequency translation of a signal consisting of a sum of orthogonal sinusoids corrupted by additive white noise. The likelihood function is reduced to an equivalent statistic expressed in terms of the squared magnitude of the finite Fourier transform of the received signal. A function that generates an error signal for a frequency translation tracking loop is derived, and a method of generating the error signal using the discrete Fourier transform (DFT) of the received signal weighted by a linear ramp is suggested. Two noise-free examples are presented.     

Optimal below Threshold Delay Estimation for Radio Signals

Time delay estimation of a random signal observed at twospatially separated sites is a problem of considerable practicalinterest. Radio-frequency (RF) signals pose a difficulty that does notarise while treating sonar or other low frequency signals: the signalprocessing can be performed only on low frequency versions of theobserved signals. We propose an estimation scheme, based oncomplex envelopes, the mean square error (MSE) of which achievesthe performance predicted by Barankin, Bellini-Tartara, and Weiss-Weinsteinlower bounds. The proposed scheme was tested byextensive computer simulations, and the results are in closeagreement with theory predictions. Moreover, a real-time hardwareimplementation of the algorithm was developed and testedsuccessfully using real RF signals.     

Error Analysis of the Optimal Antenna Array Processors

The optimal weights of an antenna array processor, which maximizes the output signal-to-noise ratio (SNR) in the absence of errors, are computed using the noise-alone matrix inverse (NAMI) and the steering vector in the look direction or the signal-plus-noise matrix inverse (SPNMI) and the steering vector. In practice the estimated steering vector as well as the estimated optimal weights are corrupted by random errors. This paper has analyzed the effects of these errors on the performance of the NAMI processor and the SPNMI processor by deriving analytic expressions for the output signal power, output noise power, output SNR, and the array gain as a function of the error variance. The treatment is for a general array configuration and no assumption about a particular array geometry is made.