K分布杂波中距离扩展目标的Wald检测

将距离扩展目标建模为子空间信号,用球不变模型模拟K分布杂波,提出了广义Wald检测算法。该算法是对待检测距离单元进行非相参积累,对杂波的纹理分量而言具有CFAR特性。首先对各个待检测距离单元分别检测,其输出的统计量是“白化”后的信号向信号子空间投影的能量和其向与信号子空间正交的噪声子空间投影的能量的比值来计算的,然后将各个待检测距离单元输出的统计量进行累加,形成最终的检验统计量。为了验证其有效性,通过Monte Carlo仿真了该算法的检测性能,并与文献［5］提出的自适应Wald检测器进行比较。      

非高斯杂波下基于子空间的距离扩展目标检测器

在辅助数据缺失的非高斯杂波背景下,采用两步法设计策略研究了距离扩展目标检测方法.首先,在杂波纹理分量已知的条件下,对待检测数据进行高斯化,利用高斯背景下杂波协方差矩阵和目标散射点幅度的合适估计,建立检验统计量.其次,利用待检测数据在信号子空间正交补上的正交投影,估计杂波纹理分量,提出了基于子空间的距离扩展目标自适应检测器,并证明了其对杂波纹理分量的恒虚警率（CFAR,Constant False Alarm Rate）特性.仿真结果表明,在典型非高斯背景下,所提检测器的CFAR特性和检测性能均优于对比检测器;另外,阵元数、目标距离单元数或杂波尖峰的增加,能不同程度改善检测性能.     

基于复合高斯杂波纹理结构的相干检测

传统的自适应检测器大多是在独立同分布纹理的前提下推导出的。然而,实测海杂波数据中各个距离单元的纹理具有相关性。该文将这一纹理相关性的信息加入到似然比检测中,提出一种基于纹理结构的相干检测器。基于涌浪调制在距离上产生纹理相关性的先验知识,确定与待检测单元纹理相关的距离单元数目,据此可以提供待测单元的纹理信息。实测数据实验表明,该检测器相对于逆伽马纹理复合高斯杂波下最优检测器具有一定的性能提升。     

复合高斯杂波下距离扩展目标的自适应检测

 研究了复合高斯杂波下的距离扩展目标自适应检测问题.基于辅助数据,利用采样协方差矩阵(SCM)和迭代(RE)估计矩阵,建立了自适应检测器AMSDD和基于动态阈值的ADT检测器,并分析了检测器的恒虚警率(CFAR)特性.理论分析表明,基于SCM的检测器只能保持对杂波协方差矩阵结构的自适应特性;而基于RE的检测器能同时获得对杂波协方差矩阵结构和纹理分量的CFAR特性.性能分析表明,对于AMSDD和ADT来说,与采用SCM估计器相比,采用RE估计器能使检测器获得更好的CFAR特性和检测性能.另外,基于RE的ADT检测器在目标散射点个数失配时具有很好的鲁棒性.     

基于GIS信息的CFAR检测器

在雷达信号检测过程中,为了实现恒虚警处理,必须采用动态门限。恒虚警检测器的门限设置通常是利用待检测单元附近的距离单元杂波数据进行计算得到的。然而,杂波环境的非均匀性导致了杂波功率随着距离变化剧烈,常规的恒虚警检测器性能会显著下降。文中给出了基于地理信息系统的恒虚警检测算法,利用对杂波环境的了解程度,可以显著提高CFAR检测器的性能。利用IPIX雷达实测数据,验证了该算法性能优于常规的其他CFAR处理器。     

部分均匀杂波环境中极化自适应Rao检测器

研究了机载极化雷达在部分均匀杂波背景下对于低慢小目标的自适应检测问题。基于Rao准则设计得到了极化自适应Rao检测器,分析了极化自适应Rao检测器的性能,推导得到了虚警概率和检测概率的解析表达式,证明了极化自适应Rao检测器对于杂波协方差矩阵和杂波功率比因子具有恒虚警率特性。理论分析和数值仿真表明,与基于广义似然比检验准则得到的自适应子空间检测器和自适应匹配检测器相比,极化自适应Rao检测器具有更好的检测性能和更低的计算复杂度。      

恒虚警极化自适应子空间检测器

本文研究了在未知统计特性的局部均匀高斯杂波环境中的相干雷达极化自适应目标检测问题.基于广义似然比检验提出极化自适应子空间检测器,并推导出虚警概率和检测概率的理论表达式.研究结果证明该算法在均匀杂波环境和局部均匀杂波环境都有恒虚警的性质.比较了均匀杂波环境下极化自适应子空间检测器、极化广义似然比检验和极化自适应匹配滤波器算法的检测性能,仿真分析了不同极化状态局部均匀杂波环境下极化自适应子空间检测器算法在的检测性能.     

基于知识的海杂波背景下距离扩展目标检测

该文针对在辅助数据有限的情况下自适应检测器出现检测性能损失,提出基于杂波的先验知识分布的距离扩展目标自适应检测算法。复合高斯杂波的纹理和散斑的协方差矩阵分别被建模为服从逆伽玛分布的随机变量和逆复Wishart分布的随机矩阵。利用先验知识推导了纹理分量的最大后验估计,并结合广义似然比检验设计了不依赖辅助数据的距离扩展目标自适应检测器。仿真结果表明,提出的检测器在参数失配条件下具有好的鲁棒性,而且在辅助数据有限情况下检测性能优于传统的广义似然比检测器的检测性能。     

无参考数据的分布目标知识辅助检测

该文利用待检测单元杂波协方差矩阵的先验信息，基于贝叶斯方法，研究无参考数据条件下的分布目标的知识辅助检测问题。首先针对非均匀场景，假定各个距离单元杂波协方差矩阵依概率1不相等，给出了广义似然比检验和最大后验-广义似然比检验两种检测器。然后针对均匀杂波场景，给出了单步和双步广义似然比检验两种检测器。进一步利用计算机仿真分析了先验模型失配条件下的检测器性能。分析结果表明，先验模型参数u较小时，检测器性能与先验模型匹配程度密切相关。当u趋于无穷大时，该文给出的几种检测算法性能趋于相同。     

复合高斯杂波中自适应目标检测算法

本文研究了复合高斯杂波中已知给定距离-多普勒单元多普勒频率、未知目标幅度的自适应检测目标的问题。杂波散斑分量用未知自回归系数的自回归过程建模表示,通过求解自回归系数和目标幅度的最大似然估计,推导得到复合高斯杂波中的广义似然比检测器。在目标信号向量维数很大的情况下,该检测器对激励信号方差与纹理分量的乘积具有恒虚警率特性。数值仿真表明该检测器性能优于正则化自适应匹配滤波器。最后分析了目标信号向量维数、自回归模型阶数在不同信杂比下对检测器性能的影响。      

Subspace detection for range and Doppler distributed targets with Rao and Wald tests

For the detection problem caused by the point target broken up into the distributed target in the high-range resolution radar system, adaptive detection algorithms based on the Rao and the Wald tests are proposed. The distributed target, which is modeled as a subspace random signal, may be distributed both in range and also in Doppler frequency axes. The clutter is modeled as a spherically invariant random process (SIRP). The unknown parameters are estimated by maximum likelihood estimation only under hypothesis H₀ in Rao test, while only under hypothesis H₁ in Wald test. Interestingly the proposed non-adaptive detectors from different deriving progresses have the same final form, which perform an incoherent processing over all the cells under test and ensure CFAR property with respect to the unknown statistics of the clutter texture component. In the end, performances of the proposed adaptive detectors are assessed through Monte Carlo simulations and are shown to have better detection performance compared with existing similar detectors.     

Adaptive detection of distributed targets in partially homogeneous environment with Rao and Wald tests

This paper deals with the problem of detecting distributed targets in the presence of partially homogeneous Gaussian disturbance with unknown covariance matrix. Since no uniformly most powerful test exists for the problem at hand, we devise and assess two detection strategies based on the Rao test, and the Wald test respectively. Remarkably both tests ensure the constant false alarm rate (CFAR) property with respect to both the structure of the covariance matrix as well as the power level. A preliminary performance assessment, conducted by resorting to simulated data, also in comparison to previously proposed detectors, has confirmed the effectiveness of the newly proposed detection algorithms.     

The Rao and Wald Tests Designed for Distributed Targets with Polarization MIMO Radar in Compound-Gaussian Clutter

In high resolution radars, the distributed target is usually modeled as a few isolated points referred to multiple dominant scattering centers, while the clutter is a compound-Gaussian model. Additionally, the polarimetric diversity can be exploited to enhance detection performance. Motivated by extending the detection problem of multiple-input multiple-output (MIMO) radar to such cases, this paper mainly addresses distributed targets detection problem with polarization MIMO radar against a compound-Gaussian clutter dominated scenario with unknown covariance matrix. The adaptive detectors based on Rao and Wald criteria are studied, and a two-step design procedure is adopted. Specifically, the Rao and Wald tests are derived by assuming a known covariance matrix, and then a suitable estimation of the covariance matrix based on the secondary data is inserted into the derived detectors to make them fully adaptive. Some numerical results are presented together with a polarization generalized likelihood ratio test (GLRT), showing that the derived detectors provide excellent detection performance in spiky clutter for distributed targets, and that the polarimetric diversity can be exploited to improve detection performance. Overall, the Wald test performs the best.     

A CFAR adaptive subspace detector for second-order Gaussian signals

We study the problem of detecting subspace signals described by the Second-Order Gaussian (SOG) model in the presence of noise whose covariance structure and level are both unknown. Such a detection problem is often called Gauss-Gauss problem in that both the signal and the noise are assumed to have Gaussian distributions. We propose adaptive detectors for the SOG model signals based on a single observation and multiple observations. With a single observation, the detector can be derived in a manner similar to that of the generalized likelihood ratio test (GLRT), but the unknown covariance structure is replaced by sample covariance matrix based on training data. The proposed detectors are constant false alarm rate (CFAR) detectors. As a comparison, we also derive adaptive detectors for the First-Order Gaussian (FOG) model based on multiple observations under the same noise condition as for the SOG model. With a single observation, the seemingly ad hoc CFAR detector for the SOG model is a true GLRT in that it has the same form as the GLRT CFAR detector for the FOG model. We give an approximate closed form of the probability of detection and false alarm in this case. Furthermore, we study the proposed CFAR detectors and compute the performance curves.     

非均匀环境下基于知识辅助的扩展目标Wald检测器

针对分布式多输入多输出（Multiple Input Multiple Output, MIMO）雷达中运动扩展目标的检测问题,本文首先假设每个发射-接收天线组的干扰信号协方差矩阵为互不相同的随机矩阵,以模拟实际的非均匀工作环境。然后引入知识辅助模型,建立先验信息矩阵,描述非均匀环境下的干扰信号特性,其中所有发射-接收天线组的干扰协方差矩阵服从以先验信息矩阵为基础的逆Wishart分布。在此基础上,设计了一种基于知识辅助的Wald（KA-Wald）检测器。仿真实验表明,在小样本的情况下,本文设计的KA-Wald检测器在检测性能上优于传统Wald检测器。而与已有的基于知识辅助的广义似然比检验（KA-GLRT）检测器相比,检测性能相近,但是计算效率更高。      

极化空时自适应匹配滤波检测器

针对极化空时自适应处理时目标极化状态和杂波协方差矩阵未知等实际瓶颈问题,提出了一种适应于机载极化阵列雷达的极化空时自适应匹配滤波(PST-AMF)检测算法.该检测算法先利用回波数据估计目标的极化状态,然后再将估值代入似然比得到了新的检验统计量,进一步推导了检测器虚警概率和检测概率的解析表达式,从理论上证明了该检测方法具备恒虚警(CFAR)特性.该检测器计算量比极化空时广义似然比检测器(PST-GLRT)少,易于工程实现.最后,仿真验证了在检测慢速运动目标时,其性能优于单个通道的空时自适应匹配滤波检测器(ST-AMF),具备较强的稳健性.     

机载MIMO雷达广义最大似然检测器

该文针对机载MIMO雷达在未知统计特性的杂波中目标检测问题,首先给出广义最大似然(GLRT)检测器(MIMO-GLRT),利用MIMO雷达的空间分集特性提高检测性能,并推导出检测概率和虚警概率表达式。然后,基于MIMO雷达杂波协方差矩阵的块对角特性,给出一种简化MIMO-GLRT检测器,大大减小算法的复杂度,同时降低对参考单元数目的要求,并在只有两个接收雷达单元的情形下,推导出简化GLRT检测性能的表达式。结果表明,上述两种检测器相对于杂波协方差矩阵都具有恒虚警特性,能够在未知杂波背景下有效地检测目标。     

部分均匀环境中训练样本不足时的贝叶斯子空间检测器

为了解决部分均匀环境中训练数据不足时的子空间信号检测难题,采用贝叶斯理论,将噪声协方差矩阵建模为逆威沙特分布,并采用广义似然比准则（generalized likelihood ratio test,GLRT）、Rao准则和Wald准则设计自适应检测器,结果表明3种准则得到相同的结果。基于仿真及实测数据验证了所提检测器的有效性,并得出了影响检测性能的关键物理量。     

一种简单的相干雷达极化恒虚警检测算法

该文提出了高斯杂波背景下一种结构简单的相干雷达极化恒虚警检测算法。利用雷达回波的极化信息来提高检测性能,推导出了虚警概率表达式。研究结果表明,该相干雷达极化恒虚警检测算法相对于杂波协方差矩阵有恒虚警的性质。该检测算法比极化广义似然比检测算法计算量小,易于工程实现,适合于强信杂比和目标信号导向矢量未知的情况。同时仿真分析了不同极化状态时的检测性能。     

相参雷达K分布海杂波背景下非相干积累恒虚警检测方法

相参雷达系统下的非相干积累检测方法,可以提高雷达的目标检测速度,达到实时处理的要求。然而,相参雷达系统下的非相干积累检测方法对参考单元数、脉冲积累数、杂波散斑协方差矩阵以及海杂波模型的形状参数均是非恒虚警(CFAR)的。该文基于块白化的海杂波预白化方法,提出预白化单元平均恒虚警(PWCA-CFAR)检测方法和预白化单元中值恒虚警(PWCM-CFAR)检测方法,并使用了匹配于参考单元数、脉冲积累数、形状参数的自适应门限,确保提出检测方法的恒虚警特性。实验结果表明,当存在异常单元时,PWCM-CFAR检测方法的检测性能优于PWCA-CFAR检测方法。