基于虚拟阵列的二维稀疏阵列相干源DOA估计

波达方向DOA估计是雷达阵列信号处理的一个重要方向,传统的MUSIC算法对均匀阵列条件下独立信号源的估计有很强的适应性,但实际的雷达工作中,稀疏布阵下多相干源测角是一个经常出现的应用场景。文中针对二维稀疏阵列的相干源测角,提出了一种基于虚拟阵列的相干源DOA估计方法。该方法利用虚拟阵列内插的方法,将一个任意二维稀疏阵列内插为一个均匀面阵,再通过二维空间平滑方法对相干源进行测角,能够同时获得信号的方位角和俯仰角信息。稀疏面阵和稀疏圆阵的仿真实验结果表明,该方法可以有效的解决二维稀疏阵列的相干源测角问题。     

基于累积量的互耦误差下相干信号DOA估计

在高斯色噪声和阵列互耦误差背景下,针对相干信号源和非相干信号源并存的问题,提出了一种准确估计信号源到达角(DOA)的算法。首先,采用辅助阵元法将互耦误差从阵列流形中分离;然后结合空间平滑技术和四阶累积量构建平滑矩阵,实现对高斯噪声的抑制和对信号的解相干;最后使用ESPRIT算法获得信号源的来波方向。仿真结果表明,文中算法有效解决了阵列互耦和信源相干的影响,在高斯白噪声和高斯色噪声环境下均能精确地估计DOA。     

基于2D-Unitary ESPRIT算法的DOA估计新方法

提出了一种基于2D-Unitary ESPRIT算法的六角星形阵列波达方向(DOA)估计方案。利用星形阵列子阵列的多种平移不变性,将子阵列两两组合,采用2D-Unitary ESPRIT算法分别对每种组合进行估计,获取了DOA估计的候选集,然后运用2D-MUSIC算法的功率谱函数在候选集中对DOA进行最优估计,得出DOA的最优估值,并进行了仿真实验。该方案避免了由2D-MUSIC算法因谱峰搜索而带来的庞大计算成本,且多种平移不变子阵列组合的运用减小了DOA估计误差。仿真表明,此方案与传统2D-Unitary ESPRIT算法相比,减小了估计值的均方根误差,提高了空间分辨率。     

单快拍数据的分布式阵列DOA估计

该文针对分布式阵列相干信号单次快拍波达方向估计问题,提出一种基于状态空间平衡法的1维波达角估计算法。该算法首先直接利用单快拍数据以分布式阵列每个子阵单元进行Hankle矩阵构造,然后采用状态空间平衡法,分别获得低精度无模糊的子阵单元内DOA估计和高精度有模糊的子阵单元间DOA估计,最后结合配对和解模糊算法获得高精度无模糊DOA估计。该算法不受信号形式限制,可同时对相干信号和非相干信号进行处理,能充分利用分布式阵列扩展阵列物理孔径特性,获得较高的DOA估计精度。计算机仿真结果验证了所提算法的有效性。     

互质阵列DOA估计性能综合分析北大核心CSCD

互质阵列是近年来兴起的新型阵列,能显著提高阵列自由度,处理信源数大于阵元数时的波达方向(DOA)估计,且能提高角度分辨率和测角精度。文中根据互质阵物理阵元和虚拟阵元特点,结合多重信号分类(MUSIC)算法提出适用于互质阵基于物理阵列和虚拟阵列的DOA估计方法。该方法以非相干信号源为研究对象,利用互质阵列建立信号接收模型,基于物理阵列的DOA估计方法根据互质阵物理阵元位置特点推导其导向矢量,然后根据导向矢量计算回波信号数据和信号协方差矩阵,最后利用MUSIC算法进行DOA估计。基于虚拟阵列的DOA估计方法根据其虚拟阵元数据特点在向量化协方差矩阵并去冗余后选取连续虚拟阵元接收数据,然后对新协方差矩阵进行一维Toeplitz平滑重构,最后利用MUSIC算法或求根MUSIC算法进行DOA估计。与等阵元数的均匀线阵进行对比,仿真实验验证了互质阵列DOA估计性能的优越性。     

基于矢量传感器MIMO雷达的DOD DOA和极化联合估计算法

该文研究了一种基于多输入多输出(MIMO)电磁矢量传感器阵列雷达目标波离角(DOD),波达角(DOA)和极化联合估计问题。提出一种新型矢量阵MIMO雷达系统模型,发射阵列采用常规阵元,而接收阵列采用电磁矢量传感器。在此基础上,该文提出4维MUSIC, ESPRIT和迭代1维MUSIC 3种联合参数估计算法。其中迭代1维MUSIC算法首先利用矢量传感器的内在结构特点获得目标DOA预估计,随后采用MUSIC算法对DOD和DOA分别进行1维搜索获得目标角度的高精度估计,最后给出一种基于ESPRIT的目标极化估计算法。迭代1维MUSIC算法可用于不规则阵列,对接收阵列约束较少,无需2维搜索及多维搜索,还可以利用矢量阵特点扩展阵列孔径提高DOA估计精度。此外,论文还推导了DOD, DOA和极化联合估计的CRB。仿真实验表明,与前两种算法相比,迭代1维MUSIC算法具有与CRB更接近的估计精度。     

麦克风阵列MUSIC算法声源定向的仿真分析

在运用DOA方法估计声源方位时,麦克风阵列的结构参数,对波达方向估计有着至关重要的影响作用。文章采用DOA方法中的经典MUSIC算法,在MATLAB仿真软件上通过改变阵列结构参数,对麦克风阵列多声源定位进行仿真,判断所选择的参数是否更有利于从空间图谱中读取波达方向,并讨论阵列结构参数的改变对波达方向估计性能的影响。仿真结果表明,合适的麦克风阵列参数的选取有利于获得较高精度的波达方向估计。     

未知信源数量DOA估计方法

针对传统阵列天线来波方向（Direction of Arrival,DOA）估计算法需要准确获取信源数量的问题,提出了一种未知信源数量类多重信号分类（Multiple Signal Classification,MUSIC）DOA估计方法。首先根据阵列天线的多个快拍数据估计输入信号自相关矩阵;其次对信号自相关矩阵进行特征值分解,并使用重构相关矩阵的方式实现信号分量的抑制;最后结合传统MUSIC谱估计算法实现未知信源数量条件下的DOA估计。仿真实验表明,所提算法的复杂度较低,且DOA估计误差性能接近传统MUSIC算法。     

稀疏极化敏感阵列的波达方向和极化参数联合估计

该文采用稀疏分布极化敏感阵列(SD-PSA),研究了多目标波达方向(DOA)和极化参数的估计问题。首先建立稀疏极化敏感阵列信号模型;然后利用阵列的空间旋转不变性运用ESPRIT算法得出信号的高精度周期性模糊多值DOA估计;同时利用子阵列导向矢量之间的关系得出信号的极化信息和DOA的无模糊粗估计;最后利用DOA粗估计值解模糊,得到信号的高精度无模糊DOA估计。该文所提阵列的阵元间距大于半个波长距离,扩展了阵列2维物理孔径,一定程度上降低了阵元间的互耦影响,相应的信号DOA估计精度大大提高。仿真实验结果验证了该算法对信号DOA和极化参数估计的有效性。     

宽带阵列信号波达方向估计的新算法

随着信号处理技术的发展,阵列信号处理的许多领域如雷达、声纳等越来越需要更精确的估计空间宽带信号源的波达方向（direction of arrival,DOA）。CSM（coherent signal subspace method）聚焦类DOA估计算法需要预估计波达方向,预估角偏差会影响聚焦效果,严重时会导致算法失效,本文提出一种基于一致聚焦的DOA估计方法,该方法不需要预先估计到达角,通过聚焦矩阵将宽带信号聚焦到一个中心频率,然后可利用窄带DOA算法进行估计。该算法提高DOA估计的分辨率、估计精度,也增强了算法的实时性,仿真结果验证了此算法的有效性。     

Altitude Measurement Based on Terrain Matching in VHF Array Radar

The multipath signal and direct signal lying within a beamwidth of a receiving antenna are highly correlated, which degrades the performance of DOA in a VHF array radar. Especially on rough terrain, the reflection centers of elements are not at the same horizontal plane; thus the variation of indirect wave path difference from each element with respect to the target’s depression angle is not linear. In this paper, we assume the two-path-component data model, with one direct component and one indirect component related to the ground reflection. This paper builds a highly deterministic multipath signal model which takes the curvature of the signal path and the terrain parameters of the reflection region into account based on the sphere model, gives calculation methods of the reflection coefficient and lengths of the direct path and indirect path, and proposes a synthetic steering vector super-resolution algorithm. The results for both simulated and measured data show that this method provides excellent performance in resolving the DOA problem in a multipath environment compared to the data model that only considers the flat-earth model.     

Resonance analysis of a circular dipole array antenna in cylindrically layered media for directional borehole radar

In this paper, we discuss the influence of a resonance on estimating direction of arrival (DOA) with a circular dipole array in a borehole (CAB). The resonance is caused by the phase-sequence of currents on the dipole antennas. Making use of method of moments (MoM) analysis, we predict resonant frequencies of the CAB and describe a mechanism for the resonance theoretically, making use of the fact that a plane wave can be broken down into cylindrical harmonics. In order to examine the agreement between the MoM and experimental data, we propose a signal processing method to extract phase-sequence components from the actual received array signal. This method is useful for confirming excitation of the phase-sequence resonance in experimental data, as predicted by the MoM. Using the MoM, we examine the influence of the resonances on DOA estimation, and we conclude that the resonances give some spurious solutions. In order to confirm these results, we conduct experiments at a field test site. We arrange the CAB, which consisted of seven receiving dipole antennas. In this experiment, a plane wave is incident on the CAB from a transmitter in another borehole. We apply the proposed signal method, and the measured results demonstrate the existence of the phase-sequence resonance in a physically real CAB. The spurious solutions found to occur in the DOA estimation at the resonant frequencies are also found experimentally.     

An estimate of the error caused by the plane-wave approximation infree-space dielectric measurement systems

In a free-space measurement system, the electrical constitutive parameters of a plane sheet of material are determined using incident, transmitted and reflected electromagnetic beams. The electrical parameters are almost always obtained from the measured transmission and reflection coefficients using a procedure that approximates each beam as a single plane wave whose wavefront is parallel to the surfaces of the sheet (the plane-wave approximation). A theoretical model is constructed to investigate, in a very general way, the limitations of the plane-wave approximation. The field of the incident beam is taken to be a Gaussian function at the center of the sheet and analytic expressions are obtained for the transmitted and reflected beams using the plane-wave spectrum technique. Power transmission and reflection coefficients are calculated and series expansions of these coefficients are used to determine under what conditions the plane-wave approximation applies. Graphical results are presented to show how the error associated with the plane-wave approximation depends on the various parameters for the problem: electrical size of the beam waist, electrical thickness of the sheet etc     

阵列互耦条件下相干信源DOA估计算法研究

针对阵列互耦条件下相干信源到达方向（DOA）估计的问题,利用均匀线阵互耦矩阵的带状循环特性及对称Toeplitz性,提出了一种基于改进的空间平滑算法的信源DOA估计算法。该算法无需阵元的互耦参数信息,只需一维谱峰搜索,避免了通常多参数联合估计的多维非线性搜索及迭代运算;由于采用改进的空间平滑算法,所以该算法具有很好的统计估计性能。计算机仿真结果验证了该算法的正确性和有效性。     

The effects of local scattering on direction of arrival estimationwith MUSIC

In wireless communication scenarios, multipath propagation may cause angular spreading as seen from a base station antenna array. Environments where most energy incident on the array is from scatterers local to the mobile transmitters are considered, and the effects on direction of arrival (DOA) estimation with the MUSIC algorithm are studied. Previous work has studied rapidly time-varying channels and concluded that local scattering has a minor effect on DOA estimation in such scenarios. In this work, a channel that is time-invariant during the observation period is considered, and under the assumption of small angular spread, an approximate distribution for the DOA estimates is derived. The results show that local scattering has a significant impact on DOA estimation in the time-invariant case. Numerical examples are included to illustrate the analysis and to demonstrate that the results may be used to formulate a simple estimator of angular spread. An extension to more general Rayleigh and Ricean fading channels is also included. In addition, results from processing experimental data collected in suburban environments are presented. Good agreement with the derived distributions is obtained     

基于MUSIC算法对相干信号DOA估计的研究

空间谱估计是阵列信号处理中的一个重要研究课题。针对经典MUSIC算法在入射源相关的情况下测向失败的问题,通过前后向空间平滑MUSIC算法,利用子阵平滑恢复数据协方差矩阵的原理进行解相干,进而对入射源的波达方向（DOA）进行估计。仿真结果证明：前后向空间平滑算法不仅能估计出空间相互独立信号源的波达方向,还能有效分辨出相干信源的到达角度,且具有较高的分辨能力和估计精度。     

平行金属线阵列地面附近的早期HEMP环境

铺设金属网的地面作为一种复杂的地表,区别于均匀半空间均匀地面,金属网必然会影响地表附近上方的电磁环境,因此,对其电磁环境的准确描述和分析十分必要。为此,以地面铺设平行金属阵列为典型情形,提出了一种计算平行金属阵列地面附近上方高空核爆电磁脉冲环境的解析方案,并且分析了地面铺设平行金属阵列结构之后对早期高空核爆电磁脉冲环境的影响。结果表明：当地面铺设平行金属线阵列后,相比于均匀半空间地面而言,不同高度下的水平极化场,反射场与入射场相互抵消的现象更加明显,使得总水平极化场衰减更为严重;而对于不同高度下的垂直极化场,其反射场和入射场的叠加现象也更加明显,使得地面附近上方的垂直场强幅值大于入射波场强幅值的效应加强。     

Spatially Close Signals Separation via Array Aperture Expansions and Spatial Spectrum Averaging

A resolution enhancement method for estimating the direction‐of‐arrival (DOA) of signals is presented. The proposed method is by virtually expanding a real array into virtual arrays and then averaging the spatial spectrum of the virtual arrays, each of which has a different aperture size. Superior DOA resolutions are shown in comparison with the standard algorithm, MUltiple SIgnal Classification (MUSIC), for incoherent signals incident on a uniform circular array.     

基于Y形阵的空时二维波达方向估计

提出了一种适用于Y形阵的空时二维波达方向估计方法,在低信噪比下实现了无模糊的二维波达方向估计。该方法利用了Y形阵的特性,具有较好的稳定性和较小的估计方差。仿真结果证明了本方法的有效性。     

Design and Optimization of Quasi–Optical Frequency Multipliers

This paper presents a full–wave algorithm for the design and the optimization of quasi–optical frequency multipliers and discusses its implementation in a specialized computer code, able to simulate as a whole the non–linear device, the planar antenna and the embedding layered structure. The electromagnetic analysis of the multiplier is performed under the simplifying approximation of an infinite array excited by a uniform plane wave incident from the broadside direction. The array parameters are deduced from a full–wave analysis, based on the Method of the Moments, while the solution of the non–linear circuit is found by the Harmonic Balance Method.