A Modified Root-MUSIC Algorithm for Signal DOA Estimation

This paper presents a modified Root-MUSIC algorithm by which the signal DOA estimation performance can be improved when the snapshot number is limited. The operation principlesof this algorithm are described in detail. It is also pointed out theoretically that this is equivalentto have increased the snapshot number and can make the DOA estimation better. Finally, somesimulating results to verify the theoretical analyses are presented.

A MODIFIED HIGH-ORDER CUMULANT MUSIC ALGORITHM FOR SIGNAL DOA ESTIMATION

This paper gives a MUSIC signal DOA estimation algorithm based on the modified high-order cumulant matrix which is constructed by the recieved data and their conjugate rearrangements. When the snapshot number is limited, this algorithm can improve the signal DOA estimation performances obviously, and its computational complexity scarcely increases. Finally, some simulation results to verify the theoretical analyses are presented.

DOA estimation of coexisted noncoherent and coherent signals via sparse representation of cleaned array covariance matrix

A new direction finding method is presented to deal with coexisted noncoherent and co- herent signals without smoothing operation. First the direction-of-arrival （DOA） estimation task is herein reformulated as a sparse reconstruction problem of the cleaned array covariance matrix, which is processed to eliminate the affection of the noise. Then by using the block of matrices, the information of DOAs which we pursuit are implied in the sparse coefficient matrix. Finally, the sparse reconstruction problem is solved by the improved M-FOCUSS method, which is applied to the situation of block of matrices. This method outperforms its data domain counterpart in terms of noise suppression, and has a better performance in DOA estimation than the customary spatial smoothing technique. Simulation results verify the efficacy of the proposed method.

A Real-Valued 2D DOA Estimation Algorithm of Noncircular Signal via Euler Transformation and Rotational Invariance Property

The problem of two-dimensional(2 D)direction of arrival(DOA)estimation for double parallel uniform linear arrays is investigated in this paper.A real-valued DOA estimation algorithm of noncircular(NC)signal is proposed,which combines the Euler transformation and rotational invariance(RI)property between subarrays.In this work,the effective array aperture is doubled by exploiting the noncircularity of signals.The complex arithmetic is converted to real arithmetic via Euler transformation.The main contribution of this work is not only extending the NC-Euler-ESPRIT algorithm from uniform linear array to double parallel uniform linear arrays,but also constructing a new 2 Drotational invariance property between subarrays,which is more complex than that in NCEuler-ESPRIT algorithm.The proposed 2 DNC-Euler-RI algorithm has much lower computational complexity than2 DNC-ESPRIT algorithm.The proposed algorithm has better angle estimation performance than 2 DESPRIT algorithm and 2 D NC-PM algorithm for double parallel uniform linear arrays,and is very close to that of 2 D NC-ESPRIT algorithm.The elevation angles and azimuth angles can be obtained with automatically pairing.The proposed algorithm can estimate up to 2(M-1)sources,which is two times that of 2 D ESPRIT algorithm.Cramer-Rao bound(CRB)of noncircular signal is derived for the proposed algorithm.Computational complexity comparison is also analyzed.Finally,simulation results are presented to illustrate the effectiveness and usefulness of the proposed algorithm.

针对相干信号DOA估计的改进MUSIC算法

针对相干信号波达方向(Direction of Arrival,DOA)估计,提出了一种改进的多重信号分类(Multiple Signal Classification,MUSIC)算法。首先,利用信号协方差矩阵的两个最大特征值所对应的特征向量,构造出两个Toeplitz矩阵;然后,利用前后向空间平滑思想得到这两个矩阵的无偏估计并求和;最后,利用MUSIC算法从中估计出相干信号DOA。和已有方法相比,该方法无需损失阵列孔径且具有更优的DOA估计性能。

DOA Estimation Algorithm Based on Adaptive Filtering in Spatial Domain

In this paper, a novel DOA estimation methodology based upon the technology of adaptive nulling antenna is proposed. Initially, the nulling antenna obtains the weight vector by LMS algorithm and power inversion criterion.Afterwards, reciprocal of the antenna pattern is defined as the spatial spectrum and the extracted peak values are corresponded to the estimated DOA. Through observation of the spectrum and data analysis of variable steps and SNRs, the simulation results demonstrate that the proposed method can estimate DOA above board. Furthermore, the estimation error of the proposed technique is directly proportional to step size and is inversely proportional to SNR. Unlike the existing MUSIC algorithm, the proposed algorithm has less computational complexity as it eliminates the need of estimating the number of signals and the eigenvalue decomposition of covariance matrix. Also it outperforms MUSIC algorithm, the recently proposed MUSIC-Like algorithm and classical methods by achieving better resolution with narrow width of peaks.

修正MUSIC算法对相关信号源的DOA估计性能

本文介绍了用修正MUSIC算法提高相关信号源DOA估计性能的方法。理论分析表明 ,采用该方法后 ,可将相关信号源的相关系数平均降低为原来的 63 % ,因而可改善MUSIC算法对相关信号源的DOA估计性能。且该方法不影响对非相关信号源DOA的估计 ,计算量也无明显增加。计算机仿真实验结果验证了上述理论分析的正确性。

DOA估计算法的一种修正MUSIC算法的研究

传统改进MUSIC算法通过对接收信号协方差矩阵作预处理,使信号协方差矩阵分解得到信号子空间与噪声子空间正交,从而降低噪声的影响。但当信号间隔很小时,随着信噪比的降低,传统改进MUSIC算法已无法分辨出信号。基于此问题提出的修正MUSIC算法在使信号子空间与噪声子空间正交的基础上,充分利用了噪声子空间及其特征值对噪声子空间的修正,进而构造谱峰搜索函数估计出信号。通过仿真实验,证实了在信噪比很低的情况下,信号间隔很小且存在相关信号时,修正MUSIC算法能准确地估计出传统改进MUSIC算法不能估计的信号。

提高二维DOA估计分辨率的改进MUSIC算法

针对经典二维多重信号分类(Multiple Signal Classification,MUSIC)算法在低信噪比和小快拍数情况下,分辨率受阵列孔径限制的问题,提出了一种改进的基于MUSIC算法的二维测向算法.该方法利用MUSIC谱函数极大值点处对方位角和仰角的二阶偏导数小于零的特性,通过对方位角和仰角求二阶偏导,构造了新的空间谱函数.对新的空间谱函数进行谱峰搜索,其负向谱峰所对应的角度就是目标的波达方向(Direction Of Arrival,DOA)估计.理论分析和仿真结果表明,在低信噪比、小快拍数下,该方法对相近信源有更高的角度分辨率和更低的均方根误差,并且可适用于任何阵型.

基于改进MUSIC算法的宽带DOA估计

经典MUSIC算法的统计特性主要建立在阵元数固定且快拍数趋于无穷的情况下,在有限样本中,当快拍数无法满足远大于阵元数的条件时,DOA估计会产生偏差.对于宽带信号的DOA估计,利用相干信号子空间(Coherent Signal-subspace Method,CMS)方法,构造聚焦矩阵使不同频率的信号子空间映射到同一参考频率上,用聚焦后的频域窄带模型进行DOA估计,并针对在实际应用中,阵列的阵元数较大且快拍数受限时经典MUSIC算法估计精度不高的情况,利用改进后的MUSIC算法-Spike-MUSIC算法,提高DOA估计精度.在不同信噪比下,分别对DOA估计的误差进行了MonteCarlo仿真实验,仿真结果表明,相对于普通的CSM方法,基于Spike-MUSIC算法改进的CSM方法在宽带DOA估计中具有更高的精度.

基于解相干的改进MUSIC算法DOA估计

MUSIC算法是一种子空间分解算法。在非相干的情况下,经典MUSIC算法能准确进行波达方向(DOA)估计,但当信号源在相干的情况下时算法失效。在对经典MUSIC算法进行理论分析研究的基础上,对其阵元接收数据阵做相应变换,得到共轭重构后的协方差矩阵,通过特征值分解再进行DOA估计。就经典的MUSIC和改进算法的DOA估计性能进行了仿真分析。结果表明,改进后的算法在信号源相干的情况下也能精确地估计信号的波达方向。

基于MUSIC算法的DOA估计性能仿真分析

阵列信号处理是信号处理领域内的重要内容,近年来发展十分迅速,波达方向DOA(Direction of Arrival)估计作为其主要研究方向,在雷达、通信、声纳、地震学等领域内有着非常广阔的应用前景,对高分辨DOA估计算法研究取得了很多重要成果.主要研究经典MUSIC(Multiple signal Classification)多重信号分类算法,并对影响估计性能的各种因素进行仿真分析,为进一步研究MUSIC算法提供参考.

智能天线信号DOA估计中MUSIC算法的应用

对智能天线进行了简要阐述,并对DOA估计的应用进行了介绍,就智能天线中相干信号采用MUSIC算法及其修正、改进方法进行DOA估计研究进行了分析。通过详细论证及相应的模拟仿真实验验证,表明所推介的两种基于经典MUSIC算法的修正和改进算法在DOA估计的相关方面有一定的优越性,从而可以为DOA估计的应用提供参考。

基于虚拟阵列改进MUSIC算法的相干信源DoA估计

受多径传输环境的影响,在智能天线测向研究中,必须考虑相干信源的存在。针对相干信源的波达方向(Direction of Arrival,DoA)估计问题,提出了一种基于虚拟阵列平移的改进MUSIC算法。仿真结果表明:在相干信源入射角度差异很小(约5°)的情况下,该算法依然能准确地估计;同时,该算法不损失阵列孔径,最多可估计出M-1(M为阵元数)个相干信源;此外,该算法具有同时适用于相干信源和非相干信源目标方位估计的优点。

基于改进MUSIC算法的宽带信号DOA估计

现有的波达方向(DOA)估计算法在估计被动探测系统中的宽带信号方位时,存在DOA估计结果偏差大、运算复杂度高等问题,难以满足信号实时处理的要求。为提高多源信号DOA估计的空间分辨率,提出一种基于S变换且不需要预估信号源个数的多重信号分类改进算法。根据宽带信号的频域特征,利用S变换处理阵列接收信号,得到多分辨的时频谱矩阵,同时构建时频域的阵列信号数据模型,结合信号功率谱矩阵呈联合对角化结构的特点,设计基于S变换的子空间谱估计公式。在此基础上,通过谱峰搜索进行DOA估计,实现多源宽带信号的声源定位。仿真结果表明,在信噪比范围为-15~10 dB的条件下,该算法的估计成功率始终保持在90%以上,相比TCT、CS_TCT、CWT_MUSIC算法,其具有较优的估计性能,并且无需预估信号源数。

基于MUSIC及其改进算法的DOA估计研究

在DOA估计算法中,MUSIC算法因具有估计精度高等优点被广泛应用。但是,该算法在低信噪比、小快拍数和相干信号环境中估计性能较差。为解决该问题,提出一种基于子空间投影的改进型MUSIC算法,并将改进后的算法与空间平滑算法结合,可以用于相干信号的空间谱估计。仿真结果显示,改进后的算法可以在低信噪比、小快拍数条件下更好地估计波达方向。此外,将改进后的算法与空间平滑技术结合,还能有效提高对相干信号的估计性能。

MUSIC算法的DoA估计时间分析

在基于波束赋形(Beamforming)的无线通信系统中,使用MUSIC算法的波达方向(Direction of Arrival,DOA)估计具有良好的性能。但是,对于MUSIC算法在低信噪比下Do A估计时间和精度之间的关系,却一直未有深入研究。因此,对均匀圆阵数学模型和MUSIC算法进行分析,研究样本数量与DOA估计精度的关系。仿真结果表明,在低信噪比下,DOA估计性能下降,通过增加估计协方差矩阵的样本数量,可以提高MUSIC算法的性能。根据仿真结果,拟合发现DOA估计角度分辨率达到1度,所需样本数量和信噪比的关系服从负指数分布。

New direction of arrival estimation method for wideband coherent signals

To estimate the direction-of-arrival （DOA） of wideband coherent signals, a new method by modifying the orthogonality of the projected suhspaces method is proposed. And it can deal with randomly position perturbed arrays by using the Toeplitz method. This method needn＇t the primary information of DOA for focusing matrix and the sector dividing of interpolated method, which improving the precision of estimation and reducing the computational complexity. Simulations illustrate the effectiveness of this method.

基于提升小波算子的MUSIC法的DOA估计

在低信噪比且不增加接收阵元数目的条件下,提出利用提升小波算子对接收信号进行预处理,然后用MUSIC法进行谱估计。仿真试验表明该算法有效提高了DOA估计的分辨率和精度,与传统的基于一代小波域的DOA估计的算法对比,该算法具有复杂度低、收敛快且精度高的性能,为实时信号的处理提供了支持,在科研和工程实践领域具有一定的理论价值和应用价值。

A NOVEL APPROACH FOR DOA ESTIMATION IN UNKNOWN CORRELATED NOISE FIELDS

The key of the subspace-based Direction Of Arrival (DOA) estimation lies in the estimation of signal subspace with high quality. In the case of uncorrelated signals while the signals are temporally correlated, a novel approach for the estimation of DOA in unknown correlated noise fields is proposed in this paper. The approach is based on the biorthogonality between a matrix and its Moore-Penrose pseudo inverse, and made no assumption on the spatial covariance matrix of the noise. The approach exploits the structural information of a set of spatio-temporal correlation matrices, and it can give a robust and precise estimation of signal subspace, so a precise estimation of DOA is obtained. Its performances are confirmed by computer simulation results.