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CORS站高程非线性速度场估计方法
引用本文:张恒璟,改健.CORS站高程非线性速度场估计方法[J].测绘科学,2017(12):146-150.
作者姓名:张恒璟  改健
作者单位:辽宁工程技术大学测绘与地理科学学院/导航与位置信息服务辽宁省重点实验室,辽宁阜新,123000
摘    要:针对以固定周期项的线性拟合模型建立CORS站垂向速度场运动模型的方法,该文设计非线性最小二乘周期拟合算法以线性LS模型的周期项和振幅等作为非线性模型的初值,迭代求解CORS站非线性高程速度场模型的各周期项参数。以Kunm站近12年的高程时间序列为例,近似的年、半年、两年周期等的频率分别为0.999 87、2.018 4、0.500 185,振幅分别为0.17、0.002、0.23cm,非线性速度场模型拟合后的残差中误差由1.34mm降低为1.25mm。实验结果表明,非线性速度场拟合的周期项并不是固定精确的年、半年等,拟合模型的精度有所提高。

关 键 词:CORS基准站  高程时间序列  周期拟合  非线性速度场

Estimation method of elevation nonlinear speed field of CORS station
Abstract:Aiming at the method of establishing the vertical velocity field motion model of the CORS station by linear fitting model of the fixed period term,the nonlinear least squares periodic fitting algorithm was designed in this paper.The periodic term and the amplitude of the linear LS model were used as the initial values of the nonlinear model.The periodic parameters of the nonlinear elevation velocity field model of the CORS station were solved.Taking the Kunm station for nearly 10 years as an example,the frequencies of the approximate year,semiannual and two-year cycles are 0.999 87,2.018 4 and 0.500 185 respectively,and the amplitudes are 0.17 cm,0.002 cm,0.23 cm,and the nonlinear velocity field model The error in the residual after fitting is reduced from 1.34 mm to 1.25 mm.The experimental results showed that the nonlinear term of the velocity field was not fixed and accurate for years,and the accuracy of the fitting model was improved.
Keywords:CORS base station  elevation time series  period fitting  nonlinear velocity field
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