基于X-11-ARIMA模型在GNSS定位数据后处理的应用

Application of X-11-ARIMA model in post-processing of GNSS positioning data

  • 摘要: 定位数据分析及后处理是卫星导航定位系统在测绘和地灾监测应用中的关键环节. 通常,在卡尔曼滤波处理定位数据后得到的平滑数据,能够剔除噪声干扰得到贴近真值的数据. 但在长时间跨度的情况下,周期性发生的干扰难以在短时间内被识别和滤除,从而反映为一种频率较低的噪声波动. 假设该波动干扰存在周期性,以X-11分解时间序列分析方法进行数据处理,平滑后定位数据的方差从4.733减小至2.683,精度提高了43.3%. 并对拆分数据进行差分自回归移动平均模型(ARIMA)建模预测. 还原数据对比直接预测数据的分析结果表明:拆分后分别预测再整合还原精度高于直接预测5%~10%,可以应对平滑处理实时性差的问题.

     

    Abstract: Positioning data analysis and post-processing is essential part in the application of Global Navigation Satellite System in S/M and geological hazard monitoring and forecast project. Generally, the smooth data obtained after the Kalman filter processes the positioning data can eliminate noise interference and obtain data close to the true value. However, in the case of a long-term span, the periodic interference is difficult to identify and filter out in a short time, which is reflected as a kind of lower frequency noise fluctuation. This paper assumes that the fluctuation interference is periodic, and uses the X-11 decomposition time series analysis method for data processing. After smoothing, the variance of the positioning data is reduced from 4.733 to 2.683, and the accuracy is increased by 43.3%. And perform autoregressive integrated moving average mode (ARIMA) modeling and prediction on the split data. When compare the restored data with the direct prediction data, we can draw the conclusion that the accuracy of the separate prediction and integration restoration is basically higher than that of the direct prediction by 5% to 10%, so as to deal with the problem of poor real-time smoothing.

     

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