基于样条逼近的周期性测量误差检测方法

对周期信号进行多个节点距的等距三次样条拟合，研究其残差能量谱，总结出等距样条节点距变化与残差中周期性频率出现的规律。运用时域抽样理论对该现象加以研究，给出理论证明。在此基础上，结合工程实践中外测数据的误差特性，将传统的周期性误差检测方法加以延伸，提出了基于样条逼近的周期性测量误差检测方法。仿真结果表明，新方法对于提高外测数据中周期项的提取能力效果明显。

A Periodic Error Detection Method Based on Approximation by Spline Functions

This paper uses cubic spline with equally spaced knots to approach periodic error, while changing space each time. Regularity between space and periods is derived and it is supported by the sampling theorem in the time domain. Based on this and taking into account the backdrop of application in a project, this paper ameliorates the traditional way of periodic error measurement with the cubic spline. Simulation results show that the new method is useful for improvement of the capability to distill periodic error.