形变观测序列变振幅年周期探测方法研究

针对形变观测数据振幅非均匀变化的情况,分别采用最小二乘法、基于F检验的分段最小二乘法及滑动傅里叶法进行年周期拟合,通过比较拟合残差分析各种方法的优劣和适用性。结果显示,在年周期振幅不变或渐变的情况下,3种方法拟合效果均较好,滑动傅里叶拟合略优于其他两种方法;在年周期振幅变化复杂且存在相位差的情况下,分段最小二乘法明显最优,但在分段点会产生阶跃及周期不连续的现象。

Research on the Method for Annual Period Detection of Variable Amplitude for the Time Series of Deformation

Due to the variation of amplitude of deformation observation time series, we use the least square method, the piecewise least square method based on F-test and the sliding Fourier method, to fit the annual period, respectively. The advantages, disadvantages and applicability of these three methods are analyzed by comparing the fitting residuals. The results show that they are all reasonable fitting in the case of the uniform or the gradual annual periodic amplitude. Otherwise, the piecewise least square method based on F-test, which would cause steps and discontinuous periods, is much better than the other two fitting methods.