双基地稀疏阵列MIMO雷达快速多目标定位方法

针对双基地稀疏阵列MIMO雷达目标定位问题,该文提出一种基于投影处理与奇异值分解的多测量矢量欠定系统正则化聚焦求解(Projection-SVD-RMFOCUSS, PSVDRMF)算法.该算法首先估计接收角,接着依次将回波信号向目标存在的角度进行投影,最后将投影后的数据重排进行发射角估计,从而得到目标的准确位置.同时借助奇异值分解(SVD)进行信号降维与能量积累,进一步降低运算量,提高了传统压缩感知恢复算法在低信噪比下的估计性能.与现有稀疏重建算法相比,该算法减少了2维场景带来的庞大运算负担,且保持了良好的性能,可以稳健地对相干与非相干目标进行定位.     

一种双基地MIMO雷达快速多目标定位方法

该文研究了双基地MIMO雷达测向交叉多目标定位方法,提出了一种基于传播算子的双基地MIMO雷达快速多目标定位算法。该方法避免了一般子空间方法中占主要运算量的协方差矩阵估计和奇异值分解,不需要二维谱峰搜索,在保证二维方位角估计性能的基础上,降低了运算复杂度。利用矩阵的初等变换以及矩阵、矩阵特征值和特征值对应的特征向量三者之间的关系,该算法所估计二维方位角参数能自动配对,不需要额外的配对运算。最后仿真结果验证了该算法的有效性。     

MIMO雷达对分布式目标测向研究

现有的陈列测向算法对分布式目标性能较差,该文研究基于Capon算法的MIMO雷达测向问题,并在相同条件下对不同发射信号和不同阵元配置的阵列测向性能进行仿真比较,结果表明MIMO雷达的测向性能要明显优于阵列雷达.最后给出了结论.     

一种基于L阵的二维解相干测向算法

本文对高斯白噪声环境下基于L型阵列二维测向的ESPRIT算法进行了改进.该算法利用阵列结构特点通过平滑原理获得3个互相关矩阵,然后由3个矩阵构造一个特殊大矩阵并对其进行奇异值分解来估计信号子空间,最后利用2D-ESPRIT方法实现二维测向.该算法估计精度高,运算量小,能够对相干信号进行估计.     

基于ESPRIT算法的L型阵列MIMO雷达降维DOA估计

该文针对L型阵列MIMO雷达的2维角度估计问题,基于ESPRIT算法提出两种降维DOA估计方法。首先通过降维矩阵的设计及回波数据的降维变换,将高维回波数据转换至低维信号空间;然后分别基于特征分解和传播算子获得信号子空间的估计,最后利用ESPRIT算法实现2维空间角参量的联合估计及参数的自动配对。算法不牺牲阵列孔径,最大程度地降低了回波数据的维数,具有更低的运算复杂度。仿真结果验证了该文理论分析的正确性和算法的有效性。     

高分辨率信号DOA估计的跟踪算法

本文论述了一种基于子空间方法的高分辨DOA估计跟踪问题的解法。该方法基于对采样数据矩阵的广义奇异值分解(GSVD)。本文讨论了GSVD的更新修正算法,在每步计算中只需有限次的运算,即可由前一次的近似分解结果计算出新的近似分解。该过程与指数加权技术相结合,可以处理信号参数估计的跟踪问题。     

基于联合矩阵对角化的双基地MIMO雷达DOD-DOA估计

针对双基地MIMO雷达收发角(DOD-DOA)估计问题,该文提出一种基于联合矩阵对角化的快速多目标收发角估计算法。该算法首先根据匹配滤波输出的数据结构,利用奇异值分解和秩1矩阵判断定理将收发角度估计问题转化为联合矩阵对角化问题,然后采用单次-扫描迭代算法对其求解,得到收发阵列流型矩阵,最后通过谱分析方法估计收发角。该算法充分利用匹配滤波输出的所有信息,无需2维谱峰搜索,每次迭代均可得到精确的闭式解,且收发角自动配对。与现有算法相比,该算法不仅提高了角度估计精度,而且有效降低了运算量。仿真结果证明了所提算法的有效性。     

基于多级维纳滤波的ESPRIT算法

因奇异值分解引入了庞大的计算量,子空间分解类的测向算法在工程中难以实现实时处理.多级维纳滤波(MSWF)算法,避免了奇异值分解运算,有效地减少了运算量.通过对多级维纳滤波算法进行改进,提出了一种信源数目的估计方法.与传统多级维纳滤波算法相比,该方法提高了测向精度.通过仿真证明了该算法的有效性.     

色噪声环境下单基地MIMO雷达分布式目标角度估计

针对传统的二阶统计量角度估计算法在高斯色噪声环境下估计性能急剧下降甚至失效的问题,该文提出一种基于四阶累积量的单基地MIMO雷达相干分布式目标角度估计算法。首先建立单基地MIMO雷达的相干分布式目标信号模型,求取信号的四阶累积量矩阵;利用特征值分解分离出相互正交的信号子空间与噪声子空间,根据多重信号分类(MUSIC)算法原理,获得阵列的空间谱函数,通过谱峰搜索得到分布式目标的中心波达方向。该算法充分利用了四阶累积量对高斯过程的不敏感性,能够很好地抑制高斯色噪声对角度估计的影响。仿真结果证明了该算法的正确性和有效性。     

基于奇异值阈值和DSS的雷达信号盲分离方法

针对含噪阵列接收模型中盲源分离问题,提出了一种基于奇异值阈值Stein无偏风险估计(SURESVT)和去噪源分离DSS的含噪雷达信号盲分离算法,即SURE-DSS算法。该算法首先采用SURESVT算法替换DSS算法中的奇异值分解,求出观测数据在Stein无偏风险估计原则下的奇异值最优阈值,然后对观测数据的奇异值进行紧缩操作,达到提高信噪比的目的,同时完成观测数据的白化,最后对白化后数据进行盲分离。仿真结果表明,该算法能够在含噪阵列接收模型下对雷达信号进行有效分离。     

Computationally efficient DOD and DOA estimation for bistatic MIMO radar with propagator method

In this article, we consider a computationally efficient direction of departure and direction of arrival estimation problem for a bistatic multiple-input multiple-output (MIMO) radar. The computational loads of the propagator method (PM) can be significantly smaller since the PM does not require any eigenvalue decomposition of the cross correlation matrix and singular value decomposition of the received data. An improved PM algorithm is proposed to obtain automatically paired transmit and receive angle estimations in the MIMO radar. The proposed algorithm has very close angle estimation performance to conventional PM, which has a much higher complexity than our algorithm. For high signal-to-noise ratio, the proposed algorithm has very close angle estimation to estimation of signal parameters via rotational invariance technique algorithm. The variance of the estimation error and Cramér–Rao bound of angle estimation are derived. Simulation results verify the usefulness of our algorithm.     

基于截断修正平滑l0范数的MIMO雷达目标参数估计

在多输入多输出(MIMO)雷达中,针对平滑l0范数(SL0)因感知矩阵的病态性而导致其失效的问题,提出了一种基于截断修正SL0的MIMO雷达目标参数估计方法.该方法在对MIMO雷达感知矩阵进行截断奇异值分解(TSVD)处理的基础上,将保留的奇异值以均值为截断门限,分成较大和较小的两部分,分别采用不同的修正准则进行修正;然后经奇异值分解(SVD)反变换获得非病态感知矩阵,利用该非病态感知矩阵通过SL0算法对MIMO雷达目标参数进行估计,从而显著提高了MIMO雷达目标参数估计的精度和速度.仿真结果验证了该方法的有效性.     

基于联合对角化的MIMO雷达近场目标定位

目标定位经典算法有很多,但大多不能直接适用于MIMO雷达近场目标定位,而现存的单基地MIMO雷达近场目标定位算法很少.为了解决这个问题,提出了一种基于联合对角化的MIMO雷达近场多目标定位算法.该算法使用十字形收发阵列,利用接收信号的协方差矩阵构造新的矩阵,灵活运用联合对角化算法得到发射角和距离估计值,再利用谱峰搜索得...     

核不相关辨别子空间雷达目标一维像识别

针对不相关辨别分析方法在目标类别数较多时计算量大,且可能面临散度矩阵奇异的问题,提出了一种核不相关辨别子空间算法,并将其用于雷达目标一维距离像识别。新算法继承了原方法提取目标统计不相关辨别特征的优点,同时利用核机器学习理论与广义奇异值分解,有效解决了计算量与矩阵奇异的问题,并进一步改善了目标的类可分性。对ISAR实测飞机数据进行了分类,并与几种经典核非线性方法进行了比较,结果表明所提方法的识别性能得到了明显改善。     

A low-complexity joint 2D-DOD and 2D-DOA estimation algorithm for MIMO radar with arbitrary arrays

In this article, we study the problem of four-dimensional angles estimation for bistatic multiple-input multiple-output (MIMO) radar with arbitrary arrays, and propose a joint two-dimensional direction of departure (2D-DOD) and two-dimensional direction of arrival (2D-DOA) estimation algorithm. Our algorithm is to extend the propagator method (PM) for angle estimation in MIMO radar. The proposed algorithm does not require peak searching and eigenvalue decomposition of received signal covariance matrix, because of this, it has low computational complexity. And it can achieve automatic pairing of four-dimensional angles. Furthermore, the proposed algorithm has much better angle estimation performance than interpolated estimation method of signal parameters via rotational invariance techniques (ESPRIT), and has very close angle estimation performance to ESPRIT-like algorithm which has higher computational cost than the proposed algorithm. We also analyze the complexity and angle estimation error of the algorithm, and derive the Cramer‐Rao bound (CRB). The simulation results verify the effectiveness and improvement of the proposed algorithm.     

Fast-convergence trilinear decomposition algorithm for angle and range estimation in FDA-MIMO radar

A frequency diverse array (FDA) multiple-input multiple-output (MIMO) radar employs a small frequency increment across transmit elements to produce an angle-range-dependent beampattern for target angle and range detection. The joint angle and range estimation problem is a trilinear model. The traditional trilinear alternating least square (TALS) algorithm involves high computational load due to excessive iterations. We propose a fast-convergence trilinear decomposition (FC-TD) algorithm to jointly estimate FDA-MIMO radar target angle and range. We first use a propagator method to obtain coarse angle and range estimates in the data domain. Next, the coarse estimates are used as initialized parameters instead of the traditional TALS algorithm random initialization to reduce iterations and accelerate convergence. Finally, fine angle and range estimates are derived and automatically paired. Compared to the traditional TALS algorithm, the proposed FC-TD algorithm has lower computational complexity with no estimation performance degradation. Moreover, Cramér-Rao bounds are presented and simulation results are provided to validate the proposed FC-TD algorithm effectiveness.     

目标个数未知时双基地MIMO雷达多目标角度跟踪算法研究

针对目标个数未知时双基地MIMO雷达角度跟踪问题,该文提出一种基于改进自适应非对称联合对角化(AAJD)的目标个数与角度联合跟踪算法。AAJD算法中无法得到特征值变量,因此改进AAJD算法引入主成分顺序估计思想,循环求出特征值,然后运用改进信息论准则估计出目标个数。其次提出目标个数防抖动算法,提高了稳健性。最后改进了ESPRIT算法,完成了目标参数的自动配对和关联。仿真结果表明改进AAJD算法能够成功跟踪目标个数和角度,验证了理论分析的有效性。     

Joint Angle and Array Gain-Phase Errors Estimation Using PM-like Algorithm for Bistatic MIMO Radar

This paper discusses the problem of the direction of departure (DOD) and the direction of arrival (DOA) estimation for multi-input multi-output (MIMO) radar with array gain-phase errors. In this paper, we propose a propagator method (PM)-like algorithm for joint angle and array gain-phase errors estimation in MIMO radar. The proposed method not only yields automatically paired estimates of the angles and gain-phase errors but also has much better gain-phase errors estimation performance than the estimation of signal parameters via rotational invariance techniques (ESPRIT)-like algorithm; this has higher computational cost than the proposed algorithm. Furthermore, the proposed algorithm has angle estimation performance very close to ESPRIT-like algorithm. We also derive the Cramér–Rao bound (CRB) for MIMO radar with array gain-phase errors. Simulation results present the usefulness of our approach.     

一种新的双基地MIMO雷达目标参数联合估计算法

摘 要：为了实现双基地多输入多输出（MIMO）雷达目标参数估计,本文建立了双基地MIMO雷达信号模型,提出了一种目标方向角和多普勒频率联合估计方法,该方法通过构造空时矩阵,只进行一次特征值分解,即可得到雷达多目标多参数的闭式解,避免了多维非线性的谱峰搜索,并可实现自动配对。仿真结果证明了所提算法的有效性。