基于傅里叶曲线拟合的水下目标运动要素解算方法

Calculation Method of Undersea Target Motion Elements Based on Fourier Curve Fitting

水面舰对水下目标一般采用声学方式进行探测,测量手段精度有限,且目标可存在非线性机动情况,因此直接使用探测值进行目标运动要素计算误差较大、易跳变。利用基于傅里叶展开的曲线拟合方法对目标运动轨迹数据进行拟合,再利用拟合后数据解算目标运动要素。试验结果表明:该方法相比平均法、最小二乘法具有数据无跳变、收敛快、误差小等优点,且对非线性运动目标有较高解算精度。

Warships usually use sonar to detect undersea target,the measurement techniques has limited accuracy,and the target may have a nonlinear maneuver situation,therefore calculating the target motion elements via the raw data lead to big error or data jump.Curve fitting methods based on Fourier expansion are used to filtrate target trajectory,then target motion elements is cal⁃culated via filtered data.Experimental results show that the methods is smooth convergent and has little error compared with average method or least square method,also this calculation method has high accuracy in solving nonlinear target motions.