非完备目标先验知识多输入多输出雷达稳健波形设计

多输入多输出(Multiple-Input Multiple-Output,MIMO)雷达通常基于目标和环境的先验知识设计波形,而由估计得到的先验知识不可避免存在误差,基于此先验知识得到的优化波形的检测和参数估计等性能下降严重.针对此问题,提出两种稳健波形设计方法,分别提高MIMO雷达的检测性能和参数估计性能.在目标位置误差和信道误差有界的条件下,分别构造以信噪比(Signal Noise Ratio,SNR)和克拉美-罗界(Cramera-Rao Bound,CRB)为代价函数的优化问题.为最大化SNR和最小化CRB,分别给出迭代算法,交替以发射波形相关矩阵和通道矩阵误差为优化变量求解,将迭代的每一步转化为凸优化问题,从而在最差情况下提高MIMO雷达系统的检测性能和参数估计性能.仿真实验结果验证了所提方法能有效改进MIMO雷达的检测和参数估计性能.     

Unitary space vector quantization codebook design for spatial correlated limited feedback MIMO system

In the transmitting, beamforming, and receiving combing （TBRC） MIMO system, a codebook based feedback strategy is usually used to provide the transmitter with the beamforming vector. The adopted codebook affects the system performance considerably. Therefore, the codebook design is a key technology in the TBRC MIMO system. In this article, the unitary space vector quantization （USVQ） codebook design criterion is proposed to design optimal codebooks for various spatial correlated MIMO channels. And the unitary space K-mean （USK） codebook generating algorithm is provided to generate the USVQ codebooks. Simulations show that the capacities of the feedback based TBRC systems using USVQ codebooks are very close to those of the ideal cases.     

多输入多输出系统中空时分组码的盲信道估计

在空时系统设计中，信道估计是一个关键技术。对一种基于空时分组码的盲信道估计算法进行了研究。在信道输出端进行子空间分解，如果信号子空间是由信道唯一决定的，那么信道参数可被唯一估计为一个常数。提出的算法是基于空时分组码的普通形式，因此可被应用于任何分组码。最后，仿真结果显示了一些特定码字的估计效果。     

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。     

Low complexity 3D-OMP algorithms for DOD DOA and Doppler frequency estimation in bistatic MIMO radar

The biggest challenge of the traditional 3D orthogonal matching pursuit (OMP) method for direction-of-departure (DOD), direction-of-arrival (DOA) and Doppler frequency estimation in bistatic multiple-input multiple-output (MIMO) radar is the heavy computational burden due to a large number of atoms in the overcomplete dictionary. In this paper, low complexity 3D-OMP algorithms are investigated. First, the traditional 3D-OMP algorithm is given. Then, two-dimensionality reduced OMP-based algorithms are proposed exploiting the property of Khatri-Rao product and proper sparse representation. Also, the multiple measurement vectors (MMV) model is introduced to our OMP algorithms to guarantee the estimation performance. The simulation results show that the DOD, DOA and Doppler frequency can be effectively estimated with a small number of pulses and low computation cost. With similar accuracy compared with the traditional 3D-OMP method, much lower computational burden can be achieved by using the proposed methods.     

波形具有任意相关性时MIMO雷达的检测性能

基于Neyman-Pearson准则,研究了空间分集MIMO(多输入多输出)雷达发射波形相关时的自、互相关旁瓣对MIMO雷达检测性能的影响.首先,分析了波形的相关性,导致了在空间上和时间上的白高斯噪声变为相关色噪声,同时,使得接收的回波信号具有一定的相关性,影响了空间分集的效果;然后,通过理论分析得到了MIMO雷达在波形具有任意相关性时的检测概率和虚警概率的解析表达式.通过数值计算,得到如下结论:与发射正交波形相比,在高信噪比(SNR)工作时,M1MO雷达波形相关时的自、互相关旁瓣使得MIMO雷达的检测性能下降;在低SNR时,波形的相关性能够改善检测性能;波形的低自、互相关旁瓣对MIMO雷达的检测性能影响不大.     

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.     

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.     

On parameter identifiability of MIMO radar with waveform diversity

Parameter identifiability is one of the most interesting issues in multiple-input multiple-output (MIMO) radar systems. Previous works have presented conditions for parameter identifiability of the systems with uncorrelated waveforms. In this paper, under general waveform assumptions, we investigate conditions for parameter identifiability of MIMO radar systems with more flexible waveform diversity, where the transmitted waveforms are not restricted to be uncorrelated. The conditions specify the maximum number of targets that can be uniquely localized, which are obtained based on the rule of time-bandwidth product. Moreover, it is found that the conditions are in terms of the rank and structure of the waveform covariance matrix (WCM) and the geometry of MIMO radar systems. Numerical examples are provided to verify the effectiveness of the conditions.     

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。     

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.     

DOA estimation for monostatic MIMO radar based on unitary root-MUSIC

Direction of arrival (DOA) estimation is an important issue for monostatic MIMO radar. A DOA estimation method for monostatic MIMO radar based on unitary root-MUSIC is presented in this article. In the presented method, a reduced-dimension matrix is first utilised to transform the high dimension of received signal data into low dimension one. Then, a low-dimension real-value covariance matrix is obtained by forward–backward (FB) averaging and unitary transformation. The DOA of targets can be achieved by unitary root-MUSIC. Due to the FB averaging of received signal data and the eigendecomposition of the real-valued matrix covariance, the proposed method owns better angle estimation performance and lower computational complexity. The simulation results of the proposed method are presented and the performances are investigated and discussed.     

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.     

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.     

The high resolution MIMO radar system based on minimizing the statistical coherence of compressed sensing matrix

Compressed Sensing (CS) theory is a great breakthrough of the traditional Nyquist sampling theory. It can accomplish compressive sampling and signal recovery based on the sparsity of interested signal, the randomness of measurement matrix and nonlinear optimization method of signal recovery. Firstly, the CS principle is reviewed. Then the ambiguity function of Multiple-Input Multiple- Output (MIMO) radar is deduced. After that, combined with CS theory, the ambiguity function of MIMO radar is analyzed and simulated in detail. At last, the resolutions of coherent and non-coherent MIMO radars on the CS theory are discussed. Simulation results show that the coherent MIMO radar has better resolution performance than the non-coherent. But the coherent ambiguity function has higher side lobes, which caused a deterioration in radar target detection performances. The stochastic embattling method of sparse array based on minimizing the statistical coherence of sensing matrix is proposed. And simulation results show that it could effectively suppress side lobes of the ambiguity function and improve the capability of weak target detection.     

一种基于宽带MIMO雷达时域成像的阵列布阵模型

多输入多输出(MIMO)霄达足近几年发展起来的一种新慨念雷达体制.为了进一步降低宽带MIMO雷达的阵列规模和硬件复杂度,使MIMO雷达成像技术实用化成为可能,结合改进型后向投影(BP)成像算法,提出了一种非均匀线阵成像系统阵列布阵模型.提出的阵列布阵模型通过成像系统方位向分辨率婴求和目标方位向成像场景大小确定阵元间距,使得系统的阵列规模和硬件复杂度显著降低.同时,时域成像算法的使用避免了频域算法存在的采样定理限制,有效增强了阵列设计的灵活性,并使得成像阵列规模和硬件复杂度得到进一步降低.最后仿真实验验证了该成像系统布阵模型的正确性和有效性.     

基于双电磁矢量传感器的近场源多参数估计

基于双电磁矢量传感器(EVSs),提出一种新的近场源频率、波达方向(DOA)、距离和极化参数联合估计方法.该方法首先计算近场源的频率以及其在两个电磁矢量传感器处的二维DOA和极化参数,然后利用几何方法或搜索方法,得到近场源的距离估计.该方法仅需要两个电磁矢量传感器,节约了阵列孔径,适合于阵列孔径有限的场合.估计过程中仅需一次互相关以及特征分解等简单的运算,且各参数自动配对,节省了运算量.实验结果验证了该方法的有效性.     

Unfolded coprime bistatic MIMO radar for joint DOD and DOA estimation: from viewpoint on aperture augment for sum coarray

Generally, the coprime linear array (CLA) consisting of two interleaved uniform linear subarrays can enlarge the array aperture to attain the better angle estimation performance compared with the uniform linear array (ULA). In this paper, we ulteriorly study the virtual sum coarray of the unfolded coprime (UC) bistatic multiple-input multiple-output (MIMO) radar whose transmitter and receiver array are both unfolded CLA from the viewpoint on the geometry and array aperture. The UC MIMO radar can be exploited to obtain the better joint direction of departure (DOD) and direction of arrival (DOA) estimation performance due to the larger array aperture. Furthermore, we propose an all sum coarray multiple signals classification (ASCA-MUSIC) algorithm for the UC MIMO radar. ASCA-MUSIC can fully exploit all the degrees of freedom (DOFs) in the sum coarray and can obtain the better estimation performance. We also prove that ASCA-MUSIC can avoid the phase ambiguity problem due to the coprime property. In addition, we devise a reduced complexity scheme for ASCA-MUSIC to reduce the high computational complexity and utilize Cramer–Rao Bound (CRB) as a benchmark for the lower bound on the root-mean-square error (RMSE) of unbiased angle estimation. Finally, the numerical simulations verify the effectiveness and superiority of the UC MIMO radar, ASCA-MUSIC and the reduced complexity scheme.     

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.