一种新的基于TDOA与GROA的无源定位算法

针对基于到达时间差(TDOA)与到达增益比(GROA)的辐射源无源定位问题,提出了一种新的定位算法。首先通过引入一个中间变量,根据TDOA和GROA测量模型,构造一个约束加权最小二乘(CWLS)估计。由于这个CWLS问题是非凸的优化问题,现有的方法不能很好地求解。为此,提出了一种有效的方法可以求解到其全局最优解。最后,所提算法被推广到观测站存在自定位误差时的定位求解。计算机仿真结果验证了所提算法能够获得优于传统两步加权最小二乘法(2WLS)的定位性能,能够在更大的噪声条件下达到克拉美罗下界(CRLB)。     

Accuracy of source localization using multipath delays

The depth and range of underwater source can be estimated from measurements of propagation delay differences along multiple propagation paths. The accuracy of depth and range estimation using the Cramer-Rao lower bound is studied. The formulas derived can be used in conjunction with a propagation medium (nonconstant velocity profile). Explicit formulas for the bounds are derived for the case of homogeneous medium (constant velocity profile). Numerical examples are presented to illustrate the behavior of these bounds     

Sequential nonlinear tracking using UKF and raw range-rate measurements

The three-dimensional (3D) converted measurements filtering (CMF) with both converted position and raw range-rate measurement is proposed to solve the Doppler radar target tracking, where the error between radar-target range and range rate are correlated. Firstly, not using pseudomeasurement constructed by product of range and range rate to reduce the high nonlinearity, the raw range-rate measurements are utilized by unscented Kalman filter (UKF), where the converted errors of the position and the range rate are decorrelated, then linear part (position measurements) and nonlinear part (range-rate measurement) are sequentially processed by Kalman filter (KF) and UKF. Secondly, based on the assumption of small measurement error, the mean and covariance of converted measurement errors are derived by second-order Taylor series expansion. Finally, the influence of the correlated coefficient rho between the range and range rate, and the range-rate noise deviation sigma_r are taken into account and extreme values of rho and sigma_r are used in Monte Carlo simulations. The results show that the proposed method is, in a sense, effective and practical     

麦克风阵列安装偏差引起的旋转声源定位误差

对旋转声源定位中3种常见阵列安装偏差即角度偏差、x轴向偏移偏差、z轴向偏移偏差导致的定位误差进行了详细研究。结果表明:当角度偏差在-10°～10°范围内,声源定位位置误差随角度偏差呈近似线性变化,最大定位位置误差为0.089 m,定位强度误差呈随机变化,其中最小定位强度误差为0.97 dB,最大为4.69 dB;当x轴向偏移偏差在-0.1～0.1 m范围内,声源定位位置误差随x轴向偏移偏差呈近似线性变化,最大定位位置误差为0.098 m,定位强度误差呈随机变化,其中最小定位强度误差为0.91 dB,最大为4.94 dB;当z轴向偏移偏差在-0.1～0.1 m范围内,最大定位位置误差为0.01 m,正偏移偏差引起的定位强度误差总体小于负偏移偏差,其中最小定位强度误差为0.81 dB,最大为4.51 dB。研究结果可为麦克风阵列在实际应用中控制测量误差提供指导。      

Passive localization of frequency-agile radars from angle andfrequency measurements

It is well known that the position of a stationary radar can be estimated by a single moving observer from angle and/or frequency measurements taken passively at different points in its trajectory. Depending on the measurement set different localization methods result: the bearing method (BM), the frequency method (FM), and the combined method (CM). Previous studies analyze the three methods on the basis of constant emitter frequencies. However, radars with constant emitter frequencies are not realistic. Frequency drift and frequency hopping have to be taken into account. Therefore, to include radars the emitter model has been extended by drift and frequency hopping in this study, and the estimation methods have been reanalyzed. The effects of the model extensions become transparent in a parametric Cramer-Rao (CR) analysis. The results obtained in this way are confirmed by Monte Carlo simulations taking maximum likelihood (ML) as estimation procedure     

高级波束成形在旋转声源定位中的应用

为了使高级波束成形中的函数波束成形、压缩感知波束成形、正交波束成形在旋转声源定位中获得广泛应用,对3种高级波束成形在旋转声源定位中的应用进行了研究,从声源空间分辨率,动态范围以及声源功率积分上与传统旋转波束成形和DAMAS(deconvolution approach for the mapping of acoust...     

Periodic acoustic source tracking using propagation delayed measurements

There exist a large class of acoustic sources which have an underlying periodic phenomenon. Unlike the well-studied Bearings-Only Tracking(BOT) of an aperiodic acoustic source,this paper considers the problem of tracking a periodic acoustic source. For periodic acoustic tracking, the signal emission time is known. However, the true measurement reception time is unknown because it is corrupted by noise due to propagation delay. We augment the sensor’s signal reception time onto bearing measuremen...     

An intelligent algorithm for coherent sound source localization based on a strong tracking filter

Background noise is inevitable when sensor arrays are used for aeroacoustic measurements in wind tunnels. The direct removal of background noise, however, would affect the measurement accuracy. In particular, the existing array signal processing algorithms are either invalid or inefficient for removing the noise that is coherent with the signal of interest. In this paper, an intelligent algorithm is developed to localize the coherent sound sources and background noise in real time by iteratively checking the collected data from the array. The proposed method can automatically adjust the suboptimal fading factor to extract useful information as much as possible in residual sequence. This algorithm is tested in simulations and then demonstrated in an experiment.Compared to the two existing methods, the results indicate that the new method has a good phase-shift tracking ability and rapid estimation-error convergence speed, and can achieve an acceptable performance even for low-cost acoustic sensors. Overall, the proposed method should assist array beamforming and hence benefit aeroacoustic measurement.     

不同插值方法对残缺环阵声源定位的影响

研究了利用不完整麦克风阵列进行声源定位的算法,通过修正傅里叶插值、B样条插值和三次样条插值对残缺麦克风阵列的交叉互谱矩阵的插值补偿,获得了声源定位算法。通过数值模拟对声源定位算法进行了验证,发现在波束形成的声源强度上,傅里叶插值模拟结果最大偏差达到5.21 dB,B样条插值为1.17 dB,三次样条插值为0.80 dB;在声源位置偏差上,傅里叶插值为0.04 m,B样条插值为0.01 m,三次样条插值为0.01 m。结果表明傅里叶插值计算得到的声源定位的强度、位置精度和动态性能最差,三次样条插值最优,B样条插值表现一般。实验验证也得出类似的结论,因此利用三次样条插值计算不完整麦克风阵列的交叉互谱矩阵最佳。     

存在观测站位置误差的转发式时差无源定位

无源定位中,由于观测站安放在运动平台等原因造成的观测站位置误差会影响无源定位精度性能。另外到达时间差(简称时差)(TDOA)的转发式测量需要将不同观测站截获到的辐射源信号都转发到同一位置,如主观测站。针对这两个问题,提出了基于约束总体最小二乘(CTLS)的无源定位算法。首先将转发式时差的非线性定位方程转化为不需要中间变量的直接线性方程,再基于CTLS算法依次转化为约束优化问题和无约束优化问题,最后推导给出定位近似闭式解。仿真实验表明在观测站误差较大时,该算法与其他算法相比定位精度性能较好。     

一种基于多普勒频率的恒模信号直接定位方法

相比于传统的差分多普勒(DD)两步定位方法,以Amar和Weiss提出的基于多普勒频率的单步直接定位方法在低信噪比和小样本条件下具有更高的定位精度。在该类新型定位体制的基础上,提出了一种基于多普勒频率的恒模信号直接定位方法。首先,依据最大似然(ML)准则以及恒模信号的恒包络特征,建立相应的直接定位优化模型。然后,根据目标函数的代数特征将全部未知参量分成两组,并提出一种有效的多参量交替迭代算法,用以获得该优化问题的最优数值解。新算法包含了针对这两组未知参量的Newton型迭代公式,用以避免网格搜索,并能实现多维参数的"解耦合"估计。最后,推导出针对恒模信号的目标位置直接估计方差的克拉美罗界(CRB)。数值实验验证了新方法的优越性。     

利用温度测量结果反演三维热传导问题中热源项的算法研究

利用表面温度测量来反演热传导问题中的热源项是一类典型的热传导逆问题，在采用有限体积法对三维稳态热传导问题进行数值求解的基础上，将该热传导逆问题转化为优化问题，基于灵敏度分析建立了反演算法。采用该算法对一典型算例的计算结果表明：建立的算法是有效的，具有较好的抗噪性能。此外，对反演算法中计算收敛准则的选取进行了较深入的分析，结果表明，由于热传导逆问题的不适定性，优化过程中目标函数值越小并不意味着反演结果与真值更为接近，可以通过设定合适的收敛准则来模拟正则化项的作用，克服不适定性的影响。     

利用压缩网格方法提高旋转声源定位计算效率

利用两种压缩网格方法:基于传统波束形成的CG2压缩网格方法和基于小样本数据的CG4压缩网格方法,对经典时域旋转声源波束形成(ROSI)算法进行优化加速.实验结果表明:两种压缩网格方法均不影响ROSI算法旋转声源定位效果,基于传统波束压缩形成的CG2网格方法能够提高ROSI算法的旋转声源定位计算效率1～2倍,基于小样本数...     

A closed-form solution for moving source localization using LBI changing rate of phase difference only

Due to the deficiencies in the conventional multiple-receiver localization systems based on direction of arrival(DOA) such as system complexity of interferometer or array and amplitude/phase unbalance between multiple receiving channels and constraint on antenna configuration,a new radiated source localization method using the changing rate of phase difference(CRPD)measured by a long baseline interferometer(LBI) only is studied. To solve the strictly nonlinear problem, a two-stage closed-form solution is proposed. In the first stage, the DOA and its changing rate are estimated from the CRPD of each observer by the pseudolinear least square(PLS) method,and then in the second stage, the source position and velocity are found by another PLS minimization. The bias of the algorithm caused by the correlation between the measurement matrix and the noise in the second stage is analyzed. To reduce this bias, an instrumental variable(IV) method is derived. A weighted IV estimator is given in order to reduce the estimation variance. The proposed method does not need any initial guess and the computation is small. The Cramer–Rao lower bound(CRLB) and mean square error(MSE) are also analyzed. Simulation results show that the proposed method can be close to the CRLB with moderate Gaussian measurement noise.     

一种低空声源分布式定位系统及其算法与实验研究

低空声源目标具有较强的隐身性,为了实现对此类目标的定位,构建基于TMS320C6713平台的分布式麦克风阵列低空声源定位系统.麦克风阵列节点以DSP为核心处理器,通过A/D芯片采样麦克风阵列接收到的信号,通过到达时间差(TDOA)计算声源的角度,利用测向交叉法,融合多个节点的角度信息,计算出声源的位置.结果表明:在时延估计精确的情况下,对低空目标具有较好地估计;系统具有较高的精度和稳定性,能够满足对低空声源目标进行定位的实际需求.     

Noisy Feedback in a Binary Sequential Communication Scheme

The effects of a noisy feedback channel on a communication system with the decision and information feedback proposed as by Mancianti et al. are described. Expressions for the expected transmitted energy per symbol, expected decision time, and receiver's error probability are derived in terms of the error probability Pef over the noisy information channel. Because of the complexity of exact calculations, we have analyzed in detail only the case of two repetitions per symbol. Then, in order to give a general picture of the system performance, the asymptotic behavior has been examined.     

基于最大似然估计的TDOA/FDOA无源定位偏差补偿算法

在到达时差/到达频差(TDOA/FDOA)无源定位系统中,定位问题的非线性使得定位的结果存在偏差,特别是在噪声较大或者接收站布站不合理的情况下,定位的偏差尤其显著。针对这一问题,提出了一种基于最大似然估计的偏差补偿算法。该方法分为3步:首先,利用最大似然估计器对目标的位置和速度进行求解;其次,通过利用目标定位的估计值和含噪的测量值,对目标的位置和速度偏差值进行理论分析和推导;最后,将最大似然估计解减去理论偏差值,得到经过偏差补偿的新的目标定位解。理论分析和实验仿真证明,在一定噪声的情况下,所推导的目标位置和速度的理论偏差值与实际偏差值相符,并且经过偏差补偿后的定位算法,在保持目标定位的均方根误差(RMSE)与原最大似然算法一致的情况下,目标的位置和速度偏差值远远小于原最大似然算法的偏差值,目标定位精度得到了有效的提高。     

Surface protection by shielding from a hot source under conditions of free convection

In this paper, one way of heat protection from hot elements of the ground-based power-driven high-temperature gas turbine plant case have been experimentally studied by using shields placed between the case and outer skin under free convection in air gaps. Using the experimental model setup, experiments aimed at studying the temperature state of all its elements, namely, hot and cold walls, shield, and air gaps under free convection have been conducted. In the course of these experiments, the temperature of hot wall and air gap thicknesses were varied. The plots obtained by thermometering all walls are presented. As a result, generalization of the data obtained makes it possible to augment the data base and use it in choosing an optimal version of heat protection.     

Flow about a jet source with a deflector

We suggest a method to solve one of the model problems of aerohydrodynamics, namely, a problem of a flow about a point source, from which a fluid with density and total pressure, different from the corresponding values in the incoming flow enters. The calculations are carried out for various values of the determining parameter; and the data are compared with the known results. We revealed the advantages of the suggested method in comparison with the known ones.