Joint Doppler frequency, 2D-DOD and 2D-DOA estimation for bistatic MIMO radar in spatial coloured noise

In this paper, we address the problem of four-dimensional angle and Doppler frequency estimation for L-shaped bistatic multiple input multiple output radar in spatial coloured noise. A novel method of joint estimation of Doppler frequency, two-dimensional direction of departure and two-dimensional direction of arrival based on the propagator method is discussed. Utilising the cross-correlation matrix which is formed by the adjacent outputs of matched filter in the time domain, the special matrix is constructed to eliminate the influence of spatial coloured noise. The proposed algorithm provides lower computational complexity and has very close parameter estimation to the estimation of signal parameters via rotational invariance techniques algorithm and DOA-matrix algorithm in high signal-to-noise ratio and Cramér–Rao bound is given. Furthermore, multidimensional parameters can be automatically paired by this algorithm to avoid the performance degradation resulting from wrong pairing. Numerical simulation results demonstrate the effectiveness of the proposed method.     

低快拍下多输入多输出雷达中的角度估计算法

研究了双基地多输入多输出(MIMO)雷达中的角度估计问题,提出了一种低快拍下的MIMO雷达的离开角(DOD)和波达角(DOA)联合估计算法。该算法利用矩阵束方法从接收数据中构造出扩展矩阵来进行奇异值分解(SVD),进而进行二维角度估计联合估计。在低快拍数情况下所提算法的角度估计性能优于传统的借助旋转不变技术的信号参数估计(ESPRIT)方法,同时该算法能自动配对、无需谱峰搜索,而且复杂度也低于传统的ESPRIT算法。分析了所提算法复杂度,推导了克拉美-罗界(CRB)。仿真结果验证了该算法的有效性。     

DOD and DOA estimation in bistatic MIMO radar for nested and coprime array with closed-form DOF

It is well known that sparse array can offer better angle resolution than that of uniform linear array (ULA) in the same number of physical sensors. But in bistatic minimum redundancy sparse array multi-input multi-output (MIMO) radar, it cannot offer closed-form degree of freedom (DOF) for the arbitrary number of sensors with direction of departure and direction of arrival estimation. Therefore, this article introduces a nested array and coprime array into sparse array to solve the problem. First, construct no holes difference-coarray by extracting specified covariance matrix elements. Then, transform the difference-coarray into ULA within bistatic MIMO radar through some mathematical operations. As a result, many angle estimation methods for traditional ULA can be applied to the sparse bistatic MIMO array radar. The proposed algorithm offers closed-form DOFs for sparse array and the array aperture is much larger than that of ULA with identical number of sensors. The usefulness of the proposed methods is verified through computer simulations.     

A new method for joint DOD and DOA estimation in bistatic MIMO radar

A joint direction of departures (DODs) and direction of arrivals (DOAs) estimation for bistatic MIMO radar via both ESPRIT and SVD of cross-correlation matrix of the received data from two transmit subarrays is presented. The proposed method, with the influence of spatial colored noise eliminated, is effective for three- or more-transmitter configured system. The DOAs and DODs of targets can be solved in closed form and paired automatically. Moreover, the maximum number of targets that can be identified by using this method is also analyzed. Simulation results are presented to verify the effectiveness of the method.     

Coherent angle estimation based on Hankel matrix construction in bistatic MIMO radar

In this article, a novel coherent angle estimation method is proposed for bistatic multiple-input multiple-output radar. First, a decorrelation operation is taken by constructing a Hankel block matrix whose rank equals the number of coherent targets and is independent of the coherency between these targets. Therefore, the signal and noise subspaces of the Hankel block matrix can be estimated properly. Then, in conjunction with the ESPRIT algorithm, the shift invariance properties of the transmit and receive arrays are exploited to estimate the angles of coherent targets with automatic pairing. The numerical simulations demonstrate its validity.     

Direction finding and mutual coupling estimation for bistatic MIMO radar

An algorithm for joint direction-of-departure (DOD) and direction-of-arrival (DOA) estimation in the presence of unknown mutual coupling for bistatic MIMO radar is presented. Based on the special structure of the coupling matrix of uniform linear array (ULA), the angles can be estimated directly by two one-dimensional searches without the knowledge of the mutual coupling matrices. Then the mutual coupling coefficients of the transmitter and the receiver can be solved in closed-form by utilizing the obtained DODs and DOAs, respectively. Numerical examples are given for demonstrating the effectiveness of the proposed method.     

适用于大规模MIMO系统的低复杂度RZF-SOR预编码算法

在大规模多输入多输出(MIMO)系统中,为了降低传统预编码算法的复杂度,在原有正则化迫零(RZF)预编码算法的基础上,提出用超松驰迭代(SOR)法代替矩阵求逆的高复杂度运算,得到一种改进算法RZF-SOR,并应用随机矩阵原理得出其最优相关参数的近似表达式和取值的必要条件.实验仿真表明,提出的RZF-SOR预编码算法与RZF预编码相比有效地降低了一个数量级的复杂度,在很小的迭代次数下达到接近于RZF预编码的误码率性能,并且优于基于Neumann级数预编码算法的误码率性能.     

基于降维子空间重构的双基地MIMO雷达角度估计算法

根据双基地MIMO雷达的工作原理和回波模型,结合阵列信号处理,提出了降维子空间重构的角度估计算法,并给出了算法有效性证明。理论分析表明,该算法可以有效解决二维空间搜索计算成本高,矩阵运算量大和低快拍数下算法适应性差的问题,并通过蒙特卡罗实验对不同信噪比、快拍数和接收阵元数等情况下角度估计的方差进行了仿真,证实了理论分析的正确性。     

目标角度估计的多输入多输出雷达发射方向图综合

针对传统多输入多输出(Multiple-Input Multiple-Output,MIMO)雷达发射功率分散导致目标角度估计性能变差的问题,提出了一种新的MIMO雷达发射方向图综合方法.首先,结合发射功率的空域聚焦范围和发射导向矢量的旋转不变性,严格控制方向图逼近误差小于给定的门限,并且最小化发射方向图的峰值旁瓣功率;其次,约束协方差矩阵的对角元素相等,以实现发射功率效率最大化,在此基础之上推导了优化模型的二阶锥规划形式,以便采用原对偶内点算法进行有效求解;最后,利用平行因子分析算法对空间目标进行了收发角度估计.仿真结果表明:优化所得加权矩阵不仅能够使发射信号在指定空域进行有效聚焦,而且确保了每个阵元的发射功率相等,因而在发射功率和角度估计方法相同时,所提方法相对传统MIMO雷达具有更好的角度估计精度.     

Tri-iterative least-square method for bearing estimation in MIMO radar

In this paper, we introduce a novel tri-iterative least-square (TI-LS) method for bearing estimation in multiple-input multiple-output (MIMO) radar system. The TI-LS iteratively finds two steering matrices associated with the transmit and receive arrays, and the target's bearing can be easily obtained based on prior knowledge of the transmit and receive array manifolds. Furthermore, by jointly using the information from the transmit and receive array responses, angular estimation accuracy can be significantly improved. Numerical examples are presented to illustrate the excellent angular estimation accuracy and computational efficiency of this new method.     

Weiss-Weinstein bound for MIMO radar with colocated linear arrays for SNR threshold prediction

Several works have suggested that a multi-input multi-output (MIMO) radar system offers improvement in terms of performance in comparison with classical phased-array radar. However, under the widely spread assumption of a uniform a priori distribution for one parameter of interest, there is no result concerning lower bounds on the mean-square error in the case of a Gaussian observation model with parameterized mean. This Fast Communication fills this lack by using the Weiss-Weinstein bound (WWB) which can be calculated under this difficult scenario. As we will show, the proposed bound for MIMO Radar with colocated linear arrays has no closed-form expression. To solve this problem, we propose a closed-form approximation that, as we will show by simulations, is close to the actual bound. This approximated bound is then analyzed for a design purpose in terms of array geometry. Simulations confirm the good ability of the proposed bound to predict the mean square error (MSE) of the maximum a posteriori (MAP) in all ranges of SNR. Particularly, the tightness of the bound to predict the SNR threshold effect is shown.     

分布式MIMO雷达的参数估计与检测联合算法

本文针对分布式MIMO雷达系统,在站间大间隔配置获得的空间分集增益的基础上,提出了一种目标位置估计与检测的联合算法。与以往距离门检测不同的是,这里通过所定义的目标假设框架下进行联合估计与检测。通过理论分析证明,本文所提出的位置估计与检测联合算法在检测性能上要优于距离门检测法,且漏检概率与信噪比SNR成反比。仿真实验也验证了算法的有效性。     

Adaptive MIMO radar target parameter estimation with Kronecker-product structured interference covariance matrix

Multiple-Input Multiple-Output (MIMO) radar with colocated antennas has an increased target parameter estimation performance, but at the cost of increased computational complexity. This paper first presents the conditions required for the interference covariance matrix (ICM) of colocated MIMO radar to take a special structure, namely a Kronecker product of some sub-ICMs, and then proves that based on this ICM structure, the conventional Minimum Variance Distortionless Response (MVDR) algorithm can be reformulated into a combination of three estimation algorithms all of much smaller scales, such that the computational complexity is decreased significantly. However, this ICM structure can be destroyed by inactive scattering sources, whose influence is studied via numerical experiments. It is found that inactive point scatterers can still be suppressed by adaptive algorithms relying on the ICM structure, on condition that the number is fewer than that of receiving antennas.     

CS quadrilinear model-based angle estimation for MIMO radar with electromagnetic vector sensors

In order to estimate the angles for bistatic MIMO radar with electromagnetic vector sensors, we link the compressed sensing (CS) theory with quadrilinear model, and propose a novel angle estimation algorithm. In the proposed algorithm, the received data is firstly arranged into a quadrilinear model and then it is compressed according to the compressed sensing theory. We then perform quadrilinear decomposition on the compressed quadrilinear data model via the quadrilinear alternating least square (QALS) algorithm and finally obtain the automatically paired angle estimates with sparsity. Owing to compression, the proposed algorithm has smaller storage requirement and lower computational complexity than the conventional quadrilinear decomposition-based algorithm. Moreover, our algorithm has higher angle estimation accuracy than the estimation signal parameters via rotational invariance techniques (ESPRIT) algorithm and its estimation performance is close to that of the conventional quadrilinear decomposition-based algorithm. Our proposed algorithm needs neither additional pair matching, nor spectral peak searching, and it can be applied to both uniform and non-uniform arrays. Effectiveness of our proposed algorithm is assessed through various simulation results.     

统计MIMO雷达的多目标定位和速度估计方法

在多目标情况下,统计多输入多输出(MIMO)雷达需要对不同观测通道中估计出的目标参数进行配对,才能完成多个目标定位及其速度估计。针对这一问题,对统计MIMO雷达提出了一种映射搜索配对法来实现在不同观测通道中的目标距离延时和多普勒频率估计值的配对,从而获得目标位置及其速度估计值。仿真结果表明,该方法在目标雷达散射截面(RCS)闪烁情况下能对多个目标进行有效定位和速度估计。     

A RD-ESPRIT algorithm for coherent DOA estimation in monostatic MIMO radar using a single pulse

This paper discusses the problem of coherent direction of arrival (DOA) estimation in a monostatic multi-input multi-output (MIMO) radar using a single pulse, and proposes a reduced dimension (RD)-estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm. We reconstruct the received data and then utilise it to construct a set of Toeplitz matrices. After that, we use RD-ESPRIT to obtain the DOAs of the sources. The proposed algorithm is effective for coherent angle estimation based on a single pulse, and it has much better angle estimation performance than the forward backward spatial smoothing (FBSS)-ESPRIT algorithm and the ESPRIT-like of Li, as well as very close angle estimation performance to the ESPRIT-like of Han. For complexity comparison, our algorithm has very close complexity to the FBSS-ESPRIT algorithm, and lower complexity than the ESPRIT-like of Han and the ESPRIT-like of Li. Simulation results present the effectiveness and improvement of our approach.     

Novel angle estimation for bistatic MIMO radar using an improved MUSIC

In this article, we study the problem of angle estimation for bistatic multiple-input multiple-output (MIMO) radar and propose an improved multiple signal classification (MUSIC) algorithm for joint direction of departure (DOD) and direction of arrival (DOA) estimation. The proposed algorithm obtains initial estimations of angles obtained from the signal subspace and uses the local one-dimensional peak searches to achieve the joint estimations of DOD and DOA. The angle estimation performance of the proposed algorithm is better than that of estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm, and is almost the same as that of two-dimensional MUSIC. Furthermore, the proposed algorithm can be suitable for irregular array geometry, obtain automatically paired DOD and DOA estimations, and avoid two-dimensional peak searching. The simulation results verify the effectiveness and improvement of the algorithm.     

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.     

An ESPRIT-like algorithm for coherent DOA estimation based on data matrix decomposition in MIMO radar

A direction-of-arrival (DOA) estimation method for coherent sources is presented for MIMO radar. It uses symmetrical array mode for both the transmit and receive arrays and reconstructs a special data matrix from the range-compressed receive data. In the reconstructed matrix, the signal term is a Toeplitz matrix with the rank only related to the DOAs of the signals and independent with their coherency. Taking the noise term into account, the average method of multiple pulses is utilized to obtain the signal and noise subspaces. And then the DOA can be resolved via the SVD-based ESPRIT algorithm. Furthermore, the presented method is also useful in spatial colored noise scenario for MIMO radar. Theoretical and numerical simulations show the effectiveness of the proposed algorithm.     

一种基于信道估计的MIMO雷达目标角度估计方法

MIMO雷达是一种新体制雷达。它的信号传输矩阵包含了我们需要的目标信息,如角度信息。本文首先建立了包含目标角度信息的MIMO雷达接收信号模型。然后根据MIMO雷达接收信号的统计特性,提出了新的MIMO雷达传输信道的估计方法,然后从传输矩阵中估计出目标角度信息。最后,我们通过仿真实验验证了本文方法的有效性。