The conformal array can make full use of the aperture,save space,meet the requirements of aerodynamics,and is sensitive to polarization information.It has broad application prospects in military,aerospace,and communic...The conformal array can make full use of the aperture,save space,meet the requirements of aerodynamics,and is sensitive to polarization information.It has broad application prospects in military,aerospace,and communication fields.The joint polarization and direction-of-arrival(DOA)estimation based on the conformal array and the theoretical analysis of its parameter estimation performance are the key factors to promote the engineering application of the conformal array.To solve these problems,this paper establishes the wave field signal model of the conformal array.Then,for the case of a single target,the cost function of the maximum likelihood(ML)estimator is rewritten with Rayleigh quotient from a problem of maximizing the ratio of quadratic forms into those of minimizing quadratic forms.On this basis,rapid parameter estimation is achieved with the idea of manifold separation technology(MST).Compared with the modified variable projection(MVP)algorithm,it reduces the computational complexity and improves the parameter estimation performance.Meanwhile,the MST is used to solve the partial derivative of the steering vector.Then,the theoretical performance of ML,the multiple signal classification(MUSIC)estimator and Cramer-Rao bound(CRB)based on the conformal array are derived respectively,which provides theoretical foundation for the engineering application of the conformal array.Finally,the simulation experiment verifies the effectiveness of the proposed method.展开更多
电压暂降是电能质量问题中的一个关键难题。为了更准确地检测电压暂降发生时刻,提出了基于最大似然的自适应扩展卡尔曼滤波EKF-ML(extended Kalman filter based on maximum likelihood)算法的检测方法。首先选取不同的状态向量,在电网...电压暂降是电能质量问题中的一个关键难题。为了更准确地检测电压暂降发生时刻,提出了基于最大似然的自适应扩展卡尔曼滤波EKF-ML(extended Kalman filter based on maximum likelihood)算法的检测方法。首先选取不同的状态向量,在电网信号中建立2种卡尔曼滤波系统模型;其次,利用最大似然自适应优化误差协方差矩阵R和Q以及初始条件参数;最后,引入不同电能质量扰动对电压暂降进行检测证明该方法的有效性。仿真结果表明:在谐波干扰、脉冲干扰以及不同信噪比干扰情况下,EKF-ML算法能实时准确地检测电压暂降起止时间。与已有的传统方法比较,该方法适合于在未知测量噪声的条件下对电压暂降进行检测。展开更多
基金the National Natural Science Foundation of China(62071144,61971159,61871149).
文摘The conformal array can make full use of the aperture,save space,meet the requirements of aerodynamics,and is sensitive to polarization information.It has broad application prospects in military,aerospace,and communication fields.The joint polarization and direction-of-arrival(DOA)estimation based on the conformal array and the theoretical analysis of its parameter estimation performance are the key factors to promote the engineering application of the conformal array.To solve these problems,this paper establishes the wave field signal model of the conformal array.Then,for the case of a single target,the cost function of the maximum likelihood(ML)estimator is rewritten with Rayleigh quotient from a problem of maximizing the ratio of quadratic forms into those of minimizing quadratic forms.On this basis,rapid parameter estimation is achieved with the idea of manifold separation technology(MST).Compared with the modified variable projection(MVP)algorithm,it reduces the computational complexity and improves the parameter estimation performance.Meanwhile,the MST is used to solve the partial derivative of the steering vector.Then,the theoretical performance of ML,the multiple signal classification(MUSIC)estimator and Cramer-Rao bound(CRB)based on the conformal array are derived respectively,which provides theoretical foundation for the engineering application of the conformal array.Finally,the simulation experiment verifies the effectiveness of the proposed method.
文摘电压暂降是电能质量问题中的一个关键难题。为了更准确地检测电压暂降发生时刻,提出了基于最大似然的自适应扩展卡尔曼滤波EKF-ML(extended Kalman filter based on maximum likelihood)算法的检测方法。首先选取不同的状态向量,在电网信号中建立2种卡尔曼滤波系统模型;其次,利用最大似然自适应优化误差协方差矩阵R和Q以及初始条件参数;最后,引入不同电能质量扰动对电压暂降进行检测证明该方法的有效性。仿真结果表明:在谐波干扰、脉冲干扰以及不同信噪比干扰情况下,EKF-ML算法能实时准确地检测电压暂降起止时间。与已有的传统方法比较,该方法适合于在未知测量噪声的条件下对电压暂降进行检测。
