分段曲线拟合在同步距离后置处理中的应用

Application of piece-wise curve fitting to post-processing of synchronous distances

曲线拟合是运动目标轨迹后置处理的重要方法之一。对于经过预处理后的测量数据采用多项式曲线拟合进行平滑处理,阶数选取较高时,拟合效果较好,但方程求解复杂,拟合曲线稳定性变差。文章对多项式曲线拟合方法用于同步测量距离后置处理进行了分析,针对机动目标距离数据特点提出分段曲线拟合方法。实测数据处理结果表明,该方法能有效地解决拟合效果和多项式阶数之间的矛盾。

Curve fitting is an important method in post-processing for tracking moving targets. Using high-order polynomial curve fitting to smooth pre-processed measurement data can provide good results, but will increase processing complexity and even cause instability. This paper applies polynomial curve fitting to the post-processing of synchronously measured distance data, and presents a piece-wise curve fitting technique in accordance with the characteristics of distance data for maneuvering underwater targets. Results based on practical measurements show that the proposed technique can effectively resolve the conflict between fitting effects and the polynomial order.