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Wavelet packets based denoising method for measurement domain repeat-time multipath filtering in GPS static high-precision positioning

机译：GPS静态高精度定位中基于小波包去噪的测量域重复时间多径滤波方法

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Repeatable satellite orbits can be used for multipath mitigation in GPS-based deformation monitoring and other high-precision GPS applications that involve continuous observation with static antennas. Multipath signals at a static station repeat when the GPS constellation repeats given the same site environment. Repeat-time multipath filtering techniques need noise reduction methods to remove the white noise in carrier phase measurement residuals in order to retrieve the carrier phase multipath corrections for the next day. We propose a generic and robust three-level wavelet packets based denoising method for repeat-time-based carrier phase multipath filtering in relative positioning; the method does not need tuning to work with different data sets. The proposed denoising method is tested rigorously and compared with two other denoising methods. Three rooftop data sets collected at the University of Nottingham Ningbo China and two data sets collected at three Southern California Integrated GPS Network high-rate stations are used in the performance assessment. Test results of the wavelet packets denoising method are compared with the results of the resistor–capacitor (RC) low-pass filter and the single-level discrete wavelet transform (DWT) denoising method. Multipath mitigation efficiency in carrier phase measurement domain is shown by spectrum analysis of two selected satellites in two data sets. The positioning performance of the repeat-time-based multipath filtering techniques is assessed. The results show that the performance of the three noise reduction techniques is about 1–46 % improvement on positioning accuracy when compared with no multipath filtering. The statistical results show that the wavelet packets based denoising method is always better than the RC filter by 2–4 %, and better than the DWT method by 6–15 %. These results suggest that the proposed wavelet packets based denoising method is better than both the DWT method and the relatively simple RC low-pass filter for noise reduction in multipath filtering. However, the wavelet packets based denoising method is not significantly better than the RC filter.
机译：可重复的卫星轨道可用于基于GPS的形变监测和涉及使用静态天线连续观测的其他高精度GPS应用中的多径缓解。如果在相同的站点环境下重复GPS星座图，则静态站点上的多径信号也会重复。重复时间多径滤波技术需要采用降噪方法来去除载波相位测量残差中的白噪声，以便在第二天检索载波相位多径校正。针对相对位置的基于重复时间的载波相位多径滤波，我们提出了一种基于鲁棒三级小波包的通用鲁棒去噪方法。该方法无需调整即可使用不同的数据集。所提出的降噪方法经过严格测试，并与其他两种降噪方法进行了比较。在性能评估中，使用了在中国宁波诺丁汉大学收集的三个屋顶数据集和在三个南加州集成GPS网络高速站点收集的两个数据集。将小波包去噪方法的测试结果与电阻电容（RC）低通滤波器和单级离散小波变换（DWT）去噪方法的结果进行了比较。载波相位测量域中的多径缓解效率通过两个数据集中两个选定卫星的频谱分析显示。评估了基于重复时间的多路径滤波技术的定位性能。结果表明，与没有多径滤波相比，三种降噪技术的性能在定位精度上提高了约1–46％。统计结果表明，基于小波包的去噪方法总是比RC滤波器好2-4％，比DWT方法好6-15％。这些结果表明，所提出的基于小波包的去噪方法优于DWT方法和相对简单的RC低通滤波器，用于多径滤波中的降噪。但是，基于小波包的去噪方法并不比RC滤波器好得多。

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    Lau Lawrence;

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