采用扩展卡尔曼滤波器估计入射波参数

Estimation of Parameters of Incident Wave Using an Extended Kalman Filter

提出了采用扩展卡尔曼滤波器估计入射波参数（入射角度和入射功率）的方法．首先根据天线阵接收空间信号的特点，建立描述入射波参数的空间状态方程．其次为便于用数学方法进行入射波的参数估计，将含有复数的空间状态方程变换成用实变量表示的空间状态方程．然后，经扩展状态，将入射波的空间状态方程变成非线性系统的状态方程，利用扩展卡尔曼滤波器实现入射角度和入射功率的联合估计．对天线阵接收一个入射波情况，采用ＭＡＴＬＡＢ语言在计算机上进行仿真，其结果验证了所提方法的有效性．

A method for estimating the parameters of incident wave angle and incident power by the use of the extended kalman filter is proposed.First,according to the character of receiving spatial signals by antenna array,the spatial state equation of describing incident wave parameters is built.Second,the complex spatial state equation is changed to real one in order to use mathematical method for estimating.then,through extending state,spatial state model of incident wave is transformed into nonlinear system state model.Using extended kalman filter it realizes the estimation of incident angle and power at the same time.In the case of receiving a incident wave, a simulation is done by using MATLAB language,the result examines the effectiveness of the proposed method.