Passive Localization Using Time Difference of Arrival and Frequency Difference of ArrivalWC

In order to improve the accuracy and engineering feasibility of four-Satellite localization system, the frequency difference measurement is introduced to the four-Satellite TDOA (Time Difference of Arrival) localization algorithm. The TDOA/FDOA (Frequency Difference of Arrival) localization algorithm is used to optimize the GDOP (geometric dilution of precision) of four-Satellite localization. The simulation results show that the absolute position measurement accuracy has little influence on TDOA/FDOA localization accuracy as compared with TDOA localization. Under the same conditions, TDOA/FDOA localization has better accuracy and its GDOP shows more uniform distribution in diamond configuration case. The localization accuracy of four-Satellite TDOA/FDOA is better than the localization accuracy of four-Satellite TDOA.

收发未精确同步条件下非相关多运动辐射源TOAs/FOAs协同定位方法

在联合到达时间/到达频率的无线定位体制中,除了TOAs/FOAs(Time-Of-Arrivals/Frequency-Of-Arrivals)估计误差与传感器位置/速度先验观测误差以外,收发两端的传感器时钟同步误差也是影响定位精度的重要因素.为了抑制时钟同步误差和各类观测误差的影响,本文针对非相关多运动辐射源定位场景,提出一种基于加权多维标度分析的TOAs/FOAs多辐射源协同定位方法.文中首先通过构造两组标量积矩阵推导定位关系式,然后基于一阶误差分析方法得到该关系式中的误差渐近统计特性,并进而构建联合定位与时钟同步误差校正的优化准则.针对此优化模型,本文提出一种基于正交投影矩阵数学性质的参数解耦合优化算法,可实现对多运动辐射源位置/速度参数与同步误差参数的分步估计,显著降低了参与优化迭代的变量维数.此外,文中还在收发未精确同步条件下推导TOAs/FOAs多辐射源协同定位模型的克拉美罗界,定量证明多辐射源协同定位可以带来性能增益,并且利用一阶误差分析以及正交投影矩阵数学性质证明新方法的渐近统计最优性.仿真实验结果验证所提出的协同定位方法的优越性.

Underdetermined DOA estimation and blind separation of non-disjoint sources in time-frequency domain based on sparse representation method

This paper deals with the blind separation of nonstation-ary sources and direction-of-arrival （DOA） estimation in the under-determined case, when there are more sources than sensors. We assume the sources to be time-frequency （TF） disjoint to a certain extent. In particular, the number of sources presented at any TF neighborhood is strictly less than that of sensors. We can identify the real number of active sources and achieve separation in any TF neighborhood by the sparse representation method. Compared with the subspace-based algorithm under the same sparseness assumption, which suffers from the extra noise effect since it can-not estimate the true number of active sources, the proposed algorithm can estimate the number of active sources and their cor-responding TF values in any TF neighborhood simultaneously. An-other contribution of this paper is a new estimation procedure for the DOA of sources in the underdetermined case, which combines the TF sparseness of sources and the clustering technique. Sim-ulation results demonstrate the validity and high performance of the proposed algorithm in both blind source separation （BSS） and DOA estimation.

Aviation multi-station collaborative detecting based on time-frequency correlation of data-link

As an important application research topic of the intelligent aviation multi-station, collaborative detecting must overcome the problem of scouting measurement with status of 'fragmentation', and the NP-hardness problem of matching association between target and measurement in the process of scouting to data-link, which has complicated technical architecture of network construction. In this paper, taking advantage of cooperation mechanism on signal level in the aviation multi-station sympathetic network, a method of obtaining target time difference of arrival (TDOA) measurement using multi-station collaborative detecting based on time-frequency association is proposed. The method can not only achieve matching between target and its measurement, but also obtain TDOA measurement by further evolutionary transaction through refreshing sequential pulse time of arrival (TOA) measurement matrix for matching and correlating. Simulation results show that the accuracy of TDOA measurement has significant superiority over TOA, and detection probability of false TDOA measurement introduced by noise and fake measurement can be reduced effectively.

基于TOA的联合时延无线传感网节点定位算法

针对无线传感器网络中如何准确获取节点位置信息的问题,研究了多径传播条件下基于到达时间(Time-of-Arrival,TOA)并兼顾路径时延的目标定位问题。所提算法在高斯噪声假设基础上,首先根据时间-距离观测模型推导出包含目标位置坐标及时延的测量方程;然后基于加权最小二乘(Weighted Least Squares,WLS)准则,计算出在目标坐标估计性能上严密逼近Cramér-Rao下界(CRLB)的解;最后通过理论分析得出位置和时延的误差方差及算法开销。仿真测试了单节点及多节点场景下测距误差对定位和延时性能的影响,结果表明,所提出算法的估计性能非常接近CRLB的估计性能,明显优于两步加权最小二乘(Two Step Weighted Least Squares,TSWLS)方法。

伽利略搜救信号FOA和TOA估计的克拉美-罗界

该文考虑信息位宽的不确定性,研究了单个伽利略搜救信号FOA(Frequency Of Arrival)和TOA(Time Of Arrival)估计的克拉美-罗界(CRB)。推导了伽利略搜救信号Fisher信息矩阵元素的计算表达式,利用单位冲激函数的性质和Parseval定理,将单位冲激函数的平方和转换到频域进行计算,得到了FOA和TOA估计的CRB的解析结果。数值分析,Monte Carlo仿真及实测结果表明,上述CRB具有有效性,可以用于评估上述参数估计算法的性能。

基于超声TOA的环境感知

针对超声波传感器测量过程中方位角存在不确定性的问题,提出了一种基于超声反射波到达时间(Time of Arrival,TOA)的目标距离及方位角的测量方法,并据此发展了基于超声探测的环境感知方法 .基于混合高斯拟合对回波信号进行处理,消除了信号串扰问题,提高了目标距离和方位信息的测量精度.基于传感器波束角的特性,实现了不同距离下目标的同时测量.通过引入“不确定度”,构建信度分配函数,采用DSmT(Dezert-Smarandache Theory)方法进行数据融合,实现地图更新.搭建了实验装置与实验环境,并对相关方法进行了实验验证,实验结果表明,通过135次测量即可实现对环境基本轮廓的建图,建图误差在3 cm以内.

TOA positioning algorithm of LBL system for underwater target based on PSO

For the underwater long baseline(LBL)positioning systems,the traditional distance intersection algorithm simplifies the sound speed to a constant,and calculates the underwa-ter target position parameters with a nonlinear iteration.However,due to the complex underwater environment,the sound speed changes with time and space,and then the acoustic propagation path is actually a curve,which inevitably causes some errors to the traditional distance intersection positioning algorithm.To reduce the position error caused by the uncertain underwater sound speed,a new time of arrival(TOA)intersection underwater positioning algorithm of LBL system is proposed.Firstly,combined with the vertical layered model of the underwater sound speed,an implicit positioning model of TOA intersection is constructed through the constant gradient acoustic ray tracing.And then an optimization function based on the overall TOA residual square sum is advanced to solve the position parameters for the underwater target.Moreover,the particle swarm optimization(PSO)algorithm is replaced with the tra-ditional nonlinear least square method to optimize the implicit positioning model of TOA intersection.Compared with the traditional distance intersection positioning model,the TOA intersec-tion positioning model is more suitable for the engineering practice and the optimization algorithm is more effective.Simulation results show that the proposed methods in this paper can effectively improve the positioning accuracy for the underwater target.

Joint angle and frequency estimation for linear array:an extended DOA-matrix method

An approach for joint direction of arrival(DOA) angle and frequency estimation for a linear array is investigated in this paper. Specifically, we make the utmost of the autocorrelation and cross-correlation information to propose an extended DOAmatrix(EDOAM) method. Subsequently, we obtain the autopaired angle and frequency estimates by the eigenvalues and the corresponding eigenvectors of the novel DOA matrix. Furthermore, the proposed method surpasses the DOA-matrix method which partly ignores the autocorrelation and cross-correlation information. Finally, the proposed method works well for both uniform and non-uniform linear arrays. The simulation consequences indicate the superiority of our proposed approach.

基于基带S模式信号的联合TOA估计算法研究

针对广域多点定位系统中接收信号信噪比(signal to noise ratio,SNR)低导致到达时间(time of arrival,TOA)提取不准确的问题,提出了一种匹配滤波结合非相干积累的联合TOA估计算法,该算法能够有效降低匹配滤波法在低SNR下TOA估计的均方根误差(root mean square error,RMSE).联合算法通过对二次雷达驻留时间内接收的应答信号的匹配滤波输出做非相干积累,在最大值点处标记时间戳进行TOA估计,利用能量累积原理提高SNR,从而使得估计精确度得以提升.仿真结果表明:该算法可在-15 dB SNR,53 MHz采样频率及9个积累信号时,达到24.302 ns的TOA估计精确度.所提联合TOA估计算法具有高精确度与高稳健性的特点,能够在-15~0 dB SNR将估计精确度提升至25 ns以下,为提取低SNR S模式信号TOA进而提升广域多点定位精确度提供了一种有效的方法.

无需先验测量误差的定位节点选择方法

针对现有定位节点选择算法依赖先验测量误差的问题,研究了一种不依赖先验测量误差的时差与频差无源定位节点选择方法,该方法将两步加权最小二乘定位算法中目标估计误差协方差作为目标函数。在给定可用定位节点数目的情况下,通过引入一组布尔量构建关于目标函数为带约束的最小估计误差寻优问题,通过半定松弛技术将非凸问题转为半定规划问题进行求解,依据最小化问题特性,使得所提算法不依赖先验测量误差。仿真结果表明,不依赖测量误差的方法与穷举搜索法相比在定位性能上无太大差别;相比于穷尽搜索算法,所提方法复杂度低、实时性好。同时,仿真结果进一步表明在对运动目标定位过程中,及时调整定位节点组合的必要性。

Using lightning locating system based on time-of-arrival technique to study three-dimensional lightning discharge processes

A time-of-arrival(TOA) system based on GPS technology for locating VHF radiation sources from lightning has been developed and used in observation sites in the northern Shandong Province,China.The 3D images of the lightning progression have been obtained successfully for the first time in China.The 3D-channel evolutions of typical negative CG,positive CG and IC lightning flashes have been discussed together with the data of fast electric field change.It was found that significant differences existed between the negative and positive CG lightning flashes in terms of the initiation and propagation of the radiation sources.The preliminary breakdown of a negative CG lightning flash propagated at a speed about 5.2×104 m/s.The stepped leader of negative CG lightning flashes was trigged by negative initial breakdown.Thereafter,it propagated downward at a speed of 1.3×105 m/s.The initial process of the positive CG lightning flashes was also a propagation process of negative streamer.These streamers propagated dominantly horizontally in the positive charge region and accumulated positive charges at the origin of the lightning,and as a consequence,initiated downward positive streamers.A new type of lightning discharge that was triggered by a narrow bipolar pulse(NBP) is discussed in this study.The NBP was originated at altitude of about 10.5 km in the upper positive charge region.As a distinct difference from normal IC flash,its channels extended horizontally all around and produced a lot of radiation sources.The source power of the NBP could approach 16.7 kW,which is much greater than that of normal lightning discharge ranging between 100 mW and 500 W.The 3D propagation of this new type of lightning discharge was observed and obtained for the first time in China.The possible initiation mechanism of this new type of light-ning is discussed here.

基于频域阈值处理广义互相关和空间筛选的多源局部放电定位方法

该文针对电力设备的多源局部放电定位问题,提出了基于频域阈值处理广义互相关(frequency domain threshold processing generalized cross-correlation,FDTP-GCC)和空间筛选的多源局部放电定位方法。为实现多源局部放电超声信号的同源时间差提取问题,该文提出了FDTP-GCC算法,该算法直接应用于超声传感设备采集的原始信号,在频域内通过设置幅度谱阈值排除干扰频段,幅度谱归一化突出多源信号时间差的冲激函数特征,直接得到对应同源信号的时间差。通过仿真证明了FDTP-GCC算法进行时间差估计的高准确性、高稳定性、高抗噪能力。为解决FDTP-GCC算法带来的同源时间差分离的问题,该文提出了基于空间筛选的多源局部放电定位方法,并分析了采用基于解析解的算法和智能算法进行空间筛选的定位性能。最后采用双局部放电源进行了定位试验,试验结果表明该文方法提取的时间差误差均在1μs以内,两个局部放电源的定位误差为20.53cm和4.93cm。

UWB无线传感器网络中基于匹配滤波检测的TOA估计

深入研究了UWB(ultra wideband)无线传感器网络中基于匹配滤波门限检测的TOA(time of arrival)估计算法.针对现有算法的不足,提出了一种三步TOA估计算法:先确定DP(direct path)搜索区域,然后使用门限检测确定DP的粗略位置,最后精确搜索到DP的中心.其中,用于计算检测门限的门限因子依据匹配滤波输出的峭度动态设置,设置模型独立于信道模式,其正确性通过与使用固定门限因子所获得的性能对比进行了验证.与其他算法的性能对比仿真结果表明,所提出的三步TOA估计算法在运算效率和TOA估计精度上取得了较好折衷,适合于当前实际应用.还通过对TOA估计误差的统计分析讨论了测距结果的可信度:依据峭度将测距结果划分为可信和不可信两个级别,并为各级别的TOA估计误差分别了建立概率密度模型.在定位模块中有效利用这些可信度信息,可进一步提高定位精度.

基于TOA和TDOA的三维无源目标定位方法

提出了一种基于到达时间(time of arrival,TOA)和到达时间差(time difference of arrival,TDOA)的空中运动平台对目标高精度三维定位的无源定位方法。该方法使用3个辅站信号到空中运动平台的TOA以及辅站位置确定空中运动平台自身的位置,然后依据目标散射回波到达各个辅站与空中运动平台的TDOA确定目标的位置。分析了三维TDOA目标定位模糊产生的原因,提出了一种无模糊的高精度TDOA目标位置求解算法。仿真结果表明,该算法比经典的TDOA定位算法精度高,而且不存在定位模糊,从而验证了该空中运动平台对目标进行无源定位方法的有效性以及正确性。

无线传感器网络中基于超宽带的TOA/AOA联合定位研究

提出一种基于超宽带(ultra wideband,UWB)信号到达时间估计(time of arrival,TOA)/到达角度估计(angle of arrival,AOA)联合估计的无线传感器网络(wireless sensor networks,WSNs)定位方案,只需要一个参考节点就可以实现对其他传感器节点的2D相对定位,并且不需要时钟同步,适合于传感器网络节点的低成本设计需求.利用往返时间(round trip time,RTT)进行TOA估计,给出了基于多径检测的TOA估计算法;利用到达时间差估计(time difference of arrival,TDOA)进行AOA估计,因而无需借助复杂的天线波束赋形技术.同时,分析了定位误差模型对定位性能的影响,并通过IEEE802.15.4a信道下的仿真实验进行了验证,结果表明了所提方案的有效性.

一种基于TOA定位的CHAN改进算法

本文提出了一种基于TOA参数的CHAN改进定位算法.首先利用坐标平移的方法,消除定位方程中的未知参数,得到移动台位置的一次估计;其次通过对一次定位结果误差的分析表明基站的几何位置结构和到达距离对定位误差具有不同的"贡献"度,依据"贡献"度大小的不同,对大"贡献"度采用小权值而对小"贡献"度采用大权值的原则,提出了虚拟基站的方法来减小系统的总体误差,从而提高定位精度.仿真结果验证了本文算法的有效性.

IR-UWB能量检测接收机中基于门限的TOA估计

为提高能量检测模式下脉冲超宽带(IR-UWB)测距的精度和可行性,该文提出基于最优门限和次优门限的两种到达时间(TOA)估计算法。最优门限算法以接收机信号统计特性与UWB小尺度衰减特性关系式为基础推导出门限选择的闭合表达式,并在最小均方误差(MMSE)指标下求解TOA估计值;次优门限算法以最优门限分析为基础,在虚警概率约束下使用牛顿迭代给出求解门限的递推算法。仿真表明,与同类算法相比,最优门限算法测距精度有较大提升;次优门限算法易于实现,且性能无明显下降。

基于贝叶斯估计和数据融合的复合材料结构冲击定位

到达时刻(TOA)是用于冲击定位的关键特征之一,目前随着信号处理技术的不断发展,在文献中可找到多种时频模型进行测量,但是在选择上通常依赖于人的经验。此外,考虑到测量模型的系统误差和测量噪声引起的不确定性,传统基于TOA的冲击定位方法存在不足。为此,本文提出了一种基于贝叶斯估计和数据融合的复合材料结构冲击定位方法。首先,应用多种不同的时频模型来获取冲击响应信号的TOA数据;然后根据TOA数据测量误差的不确定性,应用贝叶斯定理构建冲击位置的后验概率密度函数;再采用马尔可夫链蒙特卡罗采样方法估计冲击位置参数的后验分布,并用正态分布进行拟合;最后,对不同TOA数据获得的冲击位置概率分布进行融合,利用融合后的概率分布对冲击源的位置做最终决策。通过复合材料加筋板上的落锤撞击实验验证了本文方法的可行性,平均定位误差仅为0.94 cm,相比于传统基于TOA的冲击定位方法可靠性和准确性更高,且在鲁棒性和定位时间方面同样具有优势。

一种单星仅测TOA无源定位方法

因单星测向定位体制存在系统构成复杂、对卫星载荷和姿态要求高等问题,提出一种单个低轨卫星仅测脉冲到达时间(TOA)实现对地表静止辐射源无源定位的方法。在研究仅测脉冲TOA估计径向加速度的基础上,提出采用网格搜索法进行定位的方法。推导得到了该方法定位误差的克拉美-罗下限(CRLB)及对于不同位置辐射源的定位误差几何分布(GDOP),并分析了该方法的可实现性。理论和仿真分析表明,该方法实现简单,适用范围广,定位性能满足实际需求。