随机模型对IGS站速度及其不确定度影响分析
|
摘要
针对随机模型对站速度的影响,该文以45个国际GNSS服务(IGS)核心站坐标时间序列为研究对象,提出基于Fisher信息矩阵的KIC噪声模型估计准则,对WN、PL、FN+WN、FN+RW、FN+WN+RW备选随机模型进行分析。探讨不同随机模型对IGS站速度及其不确定度估计的影响。结果表明,IGS站坐标时间序列随机模型呈现出多样性,在进行噪声模型估计及其速度应用时应选择足够代表IGS随机模型的备选噪声模型。不同随机模型对IGS站速度估计值的相对影响较小,但对速度不确定度估计值影响不可忽略,尤其是RW分量对站速度不确定度的影响更加明显。
Aiming at the impact of stochastic model on station velocity,a KIC noise model estimation criterion based on Fisher information matrix was proposed and five different noise models(WN,PL,FN+WN,FN+RW and FN+WN+RW)were considered to perform analysis on the influence of different stochastic models on the estimation of international GNSS service(IGS)station velocity and its uncertainty with 45 IGS core stations.The results showed that the IGS station time-series stochastic models were diversified,and an alternative noise model sufficient to represent the IGS stochastic model should be selected when estimating the noise and its velocity.The relative impact of different stochastic models on the IGS station velocity estimates was relative small,but their impact on the estimation of velocity uncertainty could not be ignored.In particular,the influence of RW component on station velocity uncertainty was more obvious.
Aiming at the impact of stochastic model on station velocity,a KIC noise model estimation criterion based on Fisher information matrix was proposed and five different noise models(WN,PL,FN+WN,FN+RW and FN+WN+RW)were considered to perform analysis on the influence of different stochastic models on the estimation of international GNSS service(IGS)station velocity and its uncertainty with 45 IGS core stations.The results showed that the IGS station time-series stochastic models were diversified,and an alternative noise model sufficient to represent the IGS stochastic model should be selected when estimating the noise and its velocity.The relative impact of different stochastic models on the IGS station velocity estimates was relative small,but their impact on the estimation of velocity uncertainty could not be ignored.In particular,the influence of RW component on station velocity uncertainty was more obvious.
引文
[1]AGNEW D C.The time-domain behavior of power-law noises[J].Geophysical Research Letters,1992,19(4):333-336.
[2]NIKOLAIDIS R.Observation of geodetic and seismic deformation with the global positioning system[D].San Diego:University of California,2002.
[3]蒋志浩,张鹏,秘金钟,等.基于CGCS2000的中国地壳水平运动速度场模型研究[J].测绘学报,2009,38(6):471-476.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.The model of crustal horizontal movement based on CGCS2000frame[J].Acta Geodaetica et Cartographica Sinica,2009,38(6):471-476.)
[4]蒋志浩,张鹏,秘金钟,等.顾及有色噪声影响的CGCS2000下我国CORS站速度估计[J].测绘学报,2010,39(4):355-363.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.Velocity estimation on the colored noise properties of CORS network in China based on the CGCS2000frame[J].Acta Geodaetica et Cartographica Sinica,2010,39(4):355-363.)
[5]姜卫平,李昭,刘鸿飞,等.中国区域IGS基准站坐标时间序列非线性变化的成因分析[J].地球物理学报,2013,56(7):2228-2237.(JIANG Weiping,LI Zhao,LIU Hongfei,et al.Cause analysis of the non-linear vacation of the IGS reference stations coordinate time series inside China[J].Chinese Journal of Geophysics,2013,56(7):2228-2237.)
[6]贺小星.GPS坐标序列噪声模型估计方法研究[J].测绘学报2017,46(3):398.(HE Xiaoxing.Study on the noise model of GPS coordinates times series[J].Acta Geodaetica et Cartographica Sinica,2017,46(3):398.)
[7]HE Xiaoxing,MONTILLET J P,HUA Xianghong,et al.Noise analysis for environmental loading effect on GPS position time series[J].Acta Geodynamica et Geromaterialia,2017,14:131-142.
[8]姜卫平,周晓慧.澳大利亚GPS坐标时间序列跨度对噪声模型建立的影响分析[J].中国科学(地球科学),2014,44(11):2461-2478.(JIANG Weiping,ZHOUXiaohui.Effect of the span of Australian GPS coordinate time series in establishing an optimal noise model[J].Science China(Earth Sciences),2014,44(11):2461-2478.)
[9]HE Xiaoxing,MONTILLET J P,FERNANDES R,et al.Review of current GPS methodologies for producing accurate time series and their error sources[J].Journal of Geodynamics,2017,106,12-29.
[10]LANGBEIN J.Noise in GPS displacement measurements from Southern California and Southern Nevada[J].Journal of Geophysical Research(Solid Earth),2008,113(B5):B05405.
[11]WANG Jinling,KNIGHT N L.New outlier separability test and its application inGNSS positioning[J].Journal of Global Positioning Systems,2012,11(1):46-57.
[12]KLOS A,BOGUSZ J,FIGURSKI M,et al.Uncertainties of geodetic velocities from permanent GPS observations:the Sudeten case study[J].Acta Geodynamica et Geomaterialia,2014,11(3):201-209.
[13]MAO Ailin,HARRISON C G A,DIXON T H.Noise in GPS coordinate time series[J].Journal of Geophysical Research(Solid Earth),1999,104(B2):2797-2816.
[14]LANGBEIN J,JOHNSON H.Correlated errors in geodetic time series:implications for time dependent deformation[J].Journal of Geophysical Research(Solid Earth),1997,102(B1):591-603.
[15]李昭,姜卫平,刘鸿飞,等.中国区域IGS基准站坐标序列噪声模型建立与分析[J].测绘学报,2012,41(4):496-503.(LI Zhao,JIANG Weiping,LIU Hongfei,et al.Noise model establishment and analysis of IGSreference station coordinate time series inside China[J].Acta Geodaetica et Cartographica Sinica,2012,41(4):496-503.)
[16]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GPS observations[J].Journal of Geodesy,2008,82(3):157-166.
[17]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GNSS observations with missing data[J].Journal of Geodesy,2013,87(4):351-360.
[18]KASHYAP R L.Optimal choice of AR and MA parts in autoregressive moving average models[J].IEEETransactions on Pattern Analysis and Machine Intelligence,1982,4(2):99-104.
[19]DMITRIEVA K,SEGALL P,DEMETS C.Networkbased estimation of time-dependent noise in GPS position time series[J].Journal of Geodesy,2015,89(6),591-606.
[2]NIKOLAIDIS R.Observation of geodetic and seismic deformation with the global positioning system[D].San Diego:University of California,2002.
[3]蒋志浩,张鹏,秘金钟,等.基于CGCS2000的中国地壳水平运动速度场模型研究[J].测绘学报,2009,38(6):471-476.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.The model of crustal horizontal movement based on CGCS2000frame[J].Acta Geodaetica et Cartographica Sinica,2009,38(6):471-476.)
[4]蒋志浩,张鹏,秘金钟,等.顾及有色噪声影响的CGCS2000下我国CORS站速度估计[J].测绘学报,2010,39(4):355-363.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.Velocity estimation on the colored noise properties of CORS network in China based on the CGCS2000frame[J].Acta Geodaetica et Cartographica Sinica,2010,39(4):355-363.)
[5]姜卫平,李昭,刘鸿飞,等.中国区域IGS基准站坐标时间序列非线性变化的成因分析[J].地球物理学报,2013,56(7):2228-2237.(JIANG Weiping,LI Zhao,LIU Hongfei,et al.Cause analysis of the non-linear vacation of the IGS reference stations coordinate time series inside China[J].Chinese Journal of Geophysics,2013,56(7):2228-2237.)
[6]贺小星.GPS坐标序列噪声模型估计方法研究[J].测绘学报2017,46(3):398.(HE Xiaoxing.Study on the noise model of GPS coordinates times series[J].Acta Geodaetica et Cartographica Sinica,2017,46(3):398.)
[7]HE Xiaoxing,MONTILLET J P,HUA Xianghong,et al.Noise analysis for environmental loading effect on GPS position time series[J].Acta Geodynamica et Geromaterialia,2017,14:131-142.
[8]姜卫平,周晓慧.澳大利亚GPS坐标时间序列跨度对噪声模型建立的影响分析[J].中国科学(地球科学),2014,44(11):2461-2478.(JIANG Weiping,ZHOUXiaohui.Effect of the span of Australian GPS coordinate time series in establishing an optimal noise model[J].Science China(Earth Sciences),2014,44(11):2461-2478.)
[9]HE Xiaoxing,MONTILLET J P,FERNANDES R,et al.Review of current GPS methodologies for producing accurate time series and their error sources[J].Journal of Geodynamics,2017,106,12-29.
[10]LANGBEIN J.Noise in GPS displacement measurements from Southern California and Southern Nevada[J].Journal of Geophysical Research(Solid Earth),2008,113(B5):B05405.
[11]WANG Jinling,KNIGHT N L.New outlier separability test and its application inGNSS positioning[J].Journal of Global Positioning Systems,2012,11(1):46-57.
[12]KLOS A,BOGUSZ J,FIGURSKI M,et al.Uncertainties of geodetic velocities from permanent GPS observations:the Sudeten case study[J].Acta Geodynamica et Geomaterialia,2014,11(3):201-209.
[13]MAO Ailin,HARRISON C G A,DIXON T H.Noise in GPS coordinate time series[J].Journal of Geophysical Research(Solid Earth),1999,104(B2):2797-2816.
[14]LANGBEIN J,JOHNSON H.Correlated errors in geodetic time series:implications for time dependent deformation[J].Journal of Geophysical Research(Solid Earth),1997,102(B1):591-603.
[15]李昭,姜卫平,刘鸿飞,等.中国区域IGS基准站坐标序列噪声模型建立与分析[J].测绘学报,2012,41(4):496-503.(LI Zhao,JIANG Weiping,LIU Hongfei,et al.Noise model establishment and analysis of IGSreference station coordinate time series inside China[J].Acta Geodaetica et Cartographica Sinica,2012,41(4):496-503.)
[16]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GPS observations[J].Journal of Geodesy,2008,82(3):157-166.
[17]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GNSS observations with missing data[J].Journal of Geodesy,2013,87(4):351-360.
[18]KASHYAP R L.Optimal choice of AR and MA parts in autoregressive moving average models[J].IEEETransactions on Pattern Analysis and Machine Intelligence,1982,4(2):99-104.
[19]DMITRIEVA K,SEGALL P,DEMETS C.Networkbased estimation of time-dependent noise in GPS position time series[J].Journal of Geodesy,2015,89(6),591-606.