Low-Complexity Estimation of the Nominal Azimuth and Elevation for Incoherently Distributed Sources

This paper develops a new technique for estimating the two-dimensional direction-of-arrivals (DOAs) of incoherently distributed (ID) sources, which can estimate effectively the nominal azimuth and nominal elevation of multiple ID sources at the cost of less computational complexity. Using a pair of parallel uniform linear arrays (ULAs), a new approach for 2D DOA estimation of multiple ID sources is proposed. The proposed method firstly estimates the nominal elevation by the modified TLS-ESPRIT method, which is based on the approximate rotational invariance property with respect to the nominal elevation between two closely parallel ULAs. And then with the help of the nominal elevation estimates, the nominal azimuth is estimated by one-dimensional searching. Without multi-dimensional searching, the proposed method has significantly reduced the computational cost compared with the existing methods. Simulation results indicate that the proposed method can exhibit a good performance and be applied to the multisource scenario where different sources may have different angular distribution shapes.     

相干分布源DOA与角度扩展估计求根算法

论文提出了一种具有低复杂度的相干分布源波达方向和角度扩展估计算法。该算法将点源模型中的求根MUSIC算法推广应用至分布源模型。利用空间频率下的相干分布源广义方向矢量可以表示成参数去耦形式的结构特点,并根据相干分布源的角信号密度函数,构造参数估计的多项式求根形式,然后通过交替迭代的求根方法得到分布源的中心波达方向和角度扩展的估计值。该算法参数估计性能与DSPE算法相当,其计算复杂度要远小于DSPE算法,并且适用于不同分布类型的相干分布源同时存在的情况。计算机仿真验证了算法的性能。      

2D DOA Estimator for Multiple Coherently Distributed Sources Using Modified Propagator

In this paper, we propose a new algorithm for estimating the two-dimensional (2D) nominal direction-of-arrivals (DOAs) of multiple coherently distributed (CD) sources by utilizing three parallel uniform linear arrays (ULAs). The proposed algorithm firstly shows that some rotational eigenstructures exist approximately for three pair of shifted ULAs. And then a modified propagator method is used to estimate three rotational invariance matrices which denote the rotational eigenstructures. Finally, the nominal angular parameters of CD sources are obtained from the eigenvalues of the rotational invariance matrices. Without spectrum searching, the estimation and eigendecomposition of the sample covariance matrix, our approach is computationally more attractive compared with the earlier algorithms. In addition, it can be applied to the scenario with multiple sources that may have different angular distribution shapes. Simulation results illustrate the performance of the algorithm.     

互相关矩阵重排获取信号子空间的二维DOA估计算法

本文提出一种L型阵列的二维子空间DOA估计算法,该算法通过重排阵列接收数据的互相关矩阵获取信号子空间,然后根据信号子空间生成一个二维谱函数,最后通过二维搜索估计信号的来波方向。由于该算法采用二维谱峰搜索,所以不需要对俯仰角和方位角进行配对。与二维MUSIC算法相比,该算法的估计精度略有下降,但该算法不需要对矩阵做特征值分解,计算量降低且易于实现。文中给出了该算法的推导过程和具体实现步骤,并进行了实验仿真,仿真结果说明了算法的有效性。      

一种未知信源数的高分辨DOA估计算法

提出了一种未知信源数的高分辨 DOA 估计算法。该算法在未知信源数的情况下,利用线性预测(LP)法或 Pisarenko 法与 ASPECT 技术相结合来实现高分辨谱估计。该算法在消除 LP 法或 Pisarenko 法 DOA 估计中存在的伪峰的同时可判断出入射信源数,明显减小 DOA 估计算法的运算量,并可提高谱分辨力。计算机仿真结果证明了新算法理论的正确性和有效性。     

均匀圆阵相干信源DOA估计的模式平滑算法

本文提出了一种适用于均匀圆阵的相干信源空间谱估计的方法。它利用空间预处理技术,将阵元空间的均匀圆阵变换成相位模式空间内的虚拟均匀线阵。通过将均匀线阵的空间平滑技术和增强平滑技术应用于该虚拟阵,可获得文中的模式平滑算法。该算法仅利用一维搜索就可使均匀圆阵具有检测相干信源的能力,避免了将圆阵看成是一般平面阵时所必须的多维搜索,减少了计算量。计算机模拟结果证明了该算法的正确性和有效性。     

Robust maximum likelihood bearing estimation in contaminatedGaussian noise

A robust maximum likelihood (ML) direction-of-arrival (DOA) estimation method that is insensitive to outliers and distributional uncertainties in Gaussian noise is presented. The algorithm has been shown to perform much better than the Gaussian ML algorithm when the underlying noise distribution deviates even slightly from Gaussian while still performing almost as well in pure Gaussian noise. As with the Gaussian ML estimation, it is still capable of handling correlated signals as well as single snapshot cases. Performance of the algorithm is analyzed using the unique resolution test procedure which determines whether a DOA estimation algorithm, at a given confidence level, can resolve two dominant sources with very close DOAs     

Simplified Estimation of 2D DOA for Coherently Distributed Sources

In mobile communications, local scattering in the vicinity of the mobile results in angular spreading as seen from a base station antenna array. In this paper, we consider the problem of estimating the two-dimensional (azimuth and elevation) direction-of-arrival (DOA) parameters of spatially distributed sources. Based on double parallel uniform linear arrays (ULAs), a simplified method without spectrum-peak searching is proposed for the 2D DOA estimation of multiple coherently distributed (CD) sources. The proposed method firstly obtains two approximate rotational invariance relations with respect to the nominal DOAs of CD sources by using one-order Taylor approximation to the generalized steering vectors (GSVs) of two pairs of shifted subarrays. And then a new ESPRIT-based method is utilized to estimate the nominal azimuth DOA and nominal elevation DOA. In addition, a simple parameter matching approach is also given. Compared with the conventional methods, our method has significantly reduced the computational cost and can sustain the estimation performance within a tolerable level. Moreover, our method is a blind estimator without any prior knowledge about angular distribution shape. Numerical examples illustrate the performance of the method.     

Performance analysis of higher order ESPRIT for localization ofnear-field sources

Most existing array processing techniques for estimating the directions of arrival (DOAs) or signal copy rely heavily on the plane-wave assumption of far-field sources. When the sources are located relatively close to the array, these techniques may no longer perform satisfactorily. In this paper we present an asymptotic performance analysis of an ESPRIT-like method for passive localization of nearfield sources. The algorithm, which is based on fourth-order cumulants, is formulated for observations collected from a single uniformly spaced linear array. We examine the least-squares version of the algorithm and derive the expressions for the asymptotic variance of the estimated DOAs (relative to a reference sensor) and estimated ranges of the sources. We also derive an algorithm independent bound on the asymptotic variance of the estimated parameters. This bound can be used as a measure against the theoretically predicted algorithmic performance. Some insight into the achievable performance of this algorithm is obtained by numerical evaluation of the bound for several test cases of interest, and the results are compared with those obtained by numerical evaluation of the theoretically predicted performance. Monte Carlo simulations are used to verify the theoretical analysis     

信号特征向量分解与到达波方向估计＊

本文提出了到达波方向(DOA)估计的一种新算法。基于信号特征向量分解的一种唯一形式,我们提出了用递推算法来实现由一个或几个信号特征向量进行DOA估计。与一般的特征结构法相比,该方法不但可以解决相干源问题而且改善了在低信噪比情况下的估计性能,并具有使用灵活的特点。计算机仿真证实了上述结论。     

Receiver array calibration using disparate sources

We present a new array calibration procedure for over-the-horizon (OTH) radar, using disparate sources. Unlike previous array calibration methods, which require a specific type or class of sources for calibrating the array, the method we propose can use combinations of single-mode, multimode, and near-field sources; each source with either known or unknown DOAs (directions-of-arrival). Multidimensional MUSIC is exploited for time-invariant DOA sources, while single-snapshot techniques are used for sources that have time-varying DOAs. A nonlinear separable least-squares solution to the array calibration problem is used to estimate the array coupling matrix and sensor positions. Simulation results indicate that good estimates are obtained for the unknown parameters and further the array sidelobe levels and bearing errors are significantly reduced when these estimated parameters are used in array processing. The algorithm performance was also compared with the Cramer-Rao lower bound and found to be statistically efficient     

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.     

Extended-aperture angle-range estimation of multipleFresnel-region sources with a linear tripole array using cumulants

This paper presents a cumulant-based algorithm to achieve aperture extension for estimating the directions-of-arrival (DOAs) and the ranges of multiple Fresnel-region sources using a linear tripole array. The proposed algorithm defines two cumulant-based matrices, from which the DOA and the range of each source are estimated from the source's tripole steering vector using the ESPRIT technique. These are then used as coarse reference estimates to disambiguate the cyclic phase ambiguities induced from the spatial phase factors when the inter-sensor spacing exceeds a half wavelength. The algorithm does not require two-dimensional searching or parameter pairing, and can resolve 3(L−1) sources with L tripoles. The extension of the proposed algorithm by formulating multiple cumulant matrices and using parallel factor (PARAFAC) analysis is also presented. Simulation results are provided demonstrating the significant improvement in the performance over that of several existing algorithms.     

Method of solving ambiguity for sparse array via power estimation based on MUSIC algorithm

Sparse linear arrays provide better performance than the filled linear arrays in terms of direction estimation and resolution with reduced size and low cost. However, they are subject to manifold ambiguity. A method based on the Multiple Signal Classification (MUSIC) algorithm to solve the manifold ambiguity of uncorrelated sources for sparse array is proposed in this paper. The method consists of two steps. The first step is to obtain all the directions of arrivals (DOAs), including true and spurious DOAs, using traditional MUSIC. The second step is to estimate the power values of the all DOAs by substituting all the DOAs to a cost function. The well-known Davidson Fletcher Powell (DFP) and Broyden Fletcher Goldfarb Shanno (BFGS) algorithms are used to estimate the power values. The power values of spurious DOAs are very small or tend to zero compared with the values of the true DOAs. The true DOAs are then discriminated easily from the spurious DOAs with the power values. Simulation results demonstrate the effectiveness and the feasibility of the method.     

一种自动匹配的分布式非圆信号二维DOA快速估计方法

在相干分布式非圆信号2维波达方向(DOA)估计中,针对利用非圆特性后维数扩展带来的较大复杂度问题,且现有的低复杂度算法均需要额外的参数匹配,该文提出一种基于互相关传播算子的自动匹配2维DOA快速估计算法。该算法考虑L型阵列,在建立相干分布式非圆信号扩展阵列模型的基础上,首先证明了L阵中两个子阵的广义方向矢量(GSV)均具有近似旋转不变特性,然后通过阵列输出信号的互相关运算消除了额外噪声,最终利用子阵GSV的近似旋转不变关系通过传播算子方法得到中心方位角与俯仰角估计。理论分析和仿真实验表明,所提算法无须谱峰搜索和协方差矩阵特征分解运算,具有较低的计算复杂度,并且能够实现2维DOA估计的自动匹配;同时,相比于现有的相干分布式非圆信号传播算子算法,所提算法以较小的复杂度代价获得了性能的较大提升。     

一种快速分布式目标波达方向估计新方法

在现有的分布式目标波达方向估计方法中,绝大部分算法需要一维或二维搜索,而在不需搜索的特征分解类算法中,其DOA估计精度又受快摄数积累的影响。文中在对分布式目标的角信号密度函数进行合理假设基础上,利用波达方向参数在超完备基空间上的稀疏表示,在单次快摄情况下即可给出分布式目标中心波达方向的快速估计,算法在分布式目标快变环境下尤为有效。仿真结果证明了方法的有效性及可行性。     

一种快速实值分解Root-MUSIC方位估计算法

针对基阵输出信号的协方差矩阵具有中心-厄尔米特特性,提出了一种基于实值分解技术的Root-MUSIC算法,并给出了一种降阶快速求根方法,这种降阶算法可以降低求解多项武的次数.实值分解技术极大降低了特征分解时的计算量,可分辨多个高度相关或相干信号源.仿真实验结果证明,与传统算法相比,快速实值分解Root-MUSIC算法具有可以分辨相干信号、计算量小和性能好等优点.     

A Low-Complexity Algorithm for Coherent DOA Estimation in Monostatic MIMO Radar

This paper investigates the topic of direction of arrival (DOA) estimation for coherent sources in monostatic multi-input multi-output (MIMO) radar, and proposes a low-complexity algorithm for coherent DOA estimation. The direction vector of MIMO radar can be firstly mapped into a vector of virtual uniform linear array (ULA), and after that, a linear operator is constructed by partial cross-correlations from the received data of the virtual ULA. Finally, the DOAs can be obtained via roots finding method based on this linear operator. The DOAs can be estimated without any eigen-decomposition, nor evaluating all correlations of the received data. The proposed algorithm has much lower complexity as well as much better angle estimation performance than conventional forward backward spatial smoothing (FBSS)-propagator method (FBSS-PM), FBSS- estimation method of signal parameters via rotational invariance techniques (FBSS-ESPRIT), FBSS- root multiple signal classification (FBSS-Root MUSIC), and ESPRIT-like algorithm. Simulations present the effectiveness and improvement of our approach.     

多子阵互耦影响下的非圆信号自校正算法

针对多子阵互耦影响下的非圆信号波达方向(Direction-Of-Arrival,DOA)估计问题,给出了一种针对最大非圆率信号的互耦自校正算法.该算法利用均匀线阵互耦矩阵的带状、对称Toeplitz性和多子阵互耦矩阵的块状对角特性,能够与传统的互耦秩减估计器一样避免多维搜索和迭代运算.并且通过结合信号的非圆特性来扩展数据模型,使得其估计精度较传统的互耦秩减估计算法有明显提升,可分辨信源数也有所增加.对该算法的理论性能进行研究,分析了其对未知参数的可辨识性必要条件,并基于最大非圆率信号模型给出了相应的克拉美罗界(Cramér-Rao Bound,CRB).仿真结果表明,该算法较传统的互耦秩减估计算法在低信噪比、小快拍数下有更强的鲁棒性.     

一种新颖的同步CDMA解相关方位/高低角估计算法

提出了一种新颖的解相关同步CDMA系统二维（方位／高低）波达方向（DOA）估计算法，通过解相关处理，可通过两次运用一维ESPRIT算法解决相应的二维方位／高低波达方向的估计问题，仿真结果表明本算法能有效，精确地解决信号的二维DOA估计问题。