Spatial Resolution Determination for Grid Zenith Tropospheric Delay Using Non-negative Matrix Factorization Algorithm

doi:10.13474/j.cnki.11-2246.2018.0134

Abstract

Abstract:

Zenith Tropospheric delay (ZTD) is one important error in high precise GNSS positioning,which is generally removed using GGOS Atmosphere grid ZTD products (spatial resolution is 2°×2.5°).At present,the spatial resolution of grid ZTD products was determined according to experience.However,it is insufficient data demonstration.This paper studied spatial resolution determination for grid ZTD products using dataset including GGOS ZWD,ZHD and ECMWF (0.125°×0.125°) precipitable water vapor (PWV),surface pressure (SP).Then,the probability statistics of absolute ZTD gradient value was calculated along latitude and longitude respectively,and spatial feature dimension of grid ZTD was extracted by the improved NMF algorithm based on random learning rate matrix.So,the reasonable spatial resolution of the grid ZTD products is determined,and a data compression product scheme is provided.

Key words: zenith troposphere delay, ECMWF, non-negative matrix factorization, intrinsic feature dimension, spatial resolution

CLC Number:

P228

LIU Zhiping, ZHU Dantong, WANG Qianxin, WANG Jian. Spatial Resolution Determination for Grid Zenith Tropospheric Delay Using Non-negative Matrix Factorization Algorithm[J]. 测绘通报, 2018, 0(5): 6-10,19.

References

[1] LI W,YUAN Y,OU J,et al.New Versions of the BDS/GNSS Zenith Tropospheric Delay Model IGGtrop[J].Journal of Geodesy,2015,89(1):73-80.
[2] 陈俊勇,党亚民.完善大地坐标框架和地球重力场时变测量的进展——2005年国际大地测量协会(IAG)科学大会札记[J].测绘通报,2005(12):1-4.
[3] CHEN Q,SONG S,HEISE S,et al.Assessment of ZTD Derived from ECMWF/NCEP Data with GPS ZTD over China[J].GPS Solutions,2011,15(4):415-425.
[4] ZHANG J Y,WANG L,YANG S,et al.Decadal Changes of the Wintertime Tropical Tropospheric Temperature and Their Influences on the Extratropical Climate[J].Science Bulletin,2016,61(9):737-744.
[5] YUCHECHEN A E,LAKKIS S G,LAVORATO M B.On the Stability of the Troposphere/Lower Stratosphere and Its Relationships with Cirrus Clouds and Three Mandatory Levels over Buenos Aires[J].International Journal of Remote Sensing,2016,37(7):1541-1552.
[6] 姚宜斌,何畅勇,张豹,等.一种新的全球对流层天顶延迟模型GZTD[J].地球物理学报,2013,56(7):2218-2227.
[7] 姚宜斌,胡羽丰,张豹.利用多源数据构建全球天顶对流层延迟模型[J].科学通报,2016,61(24):2730-2741.
[8] 高旺,高成发,潘树国,等.北斗三频宽巷组合网络RTK单历元定位方法[J].测绘学报,2015,44(6):641-648.
[9] AHMED F,VÁCLAVOVIC P,TEFERLE F N,et al.Comparative Analysis of Real-time Precise Point Positioning Zenith Total Delay Estimates[J].GPS Solutions,2016,20(2):187-199.
[10] DOUSA J,VACLAVOVIC P.Real-time Zenith Tropospheric Delays in Support of Numerical Weather Prediction Applications[J].Advances in Space Research,2014,53(53):1347-1358.
[11] JIN S,LUO O F,GLEASON S.Characterization of Diurnal Cycles in ZTD from a Decade of Global GPS Observations[J].Journal of Geodesy,2009,83(6):537-545.
[12] 陈钦明,宋淑丽,朱文耀.亚洲地区ECMWF/NCEP资料计算ZTD的精度分析[J].地球物理学报,2012,55(5):1541-1548.
[13] LEE D D,SEUNG H S.Learning the Parts of Objects by Non-negative Matrix Factorization[J].Nature,1999,401(6755):788-91.
[14] 杜海顺,张旭东,等.图嵌入正则化投影非负矩阵分解人脸图像特征提取[J].中国图象图形学报,2014,19(8):1176-1184.
[15] 施蓓琦,刘春,孙伟伟,等.应用稀疏非负矩阵分解聚类实现高光谱影像波段的优化选择[J].测绘学报,2013,42(3):351-358.
[16] 李乐,章毓晋.非负矩阵分解算法综述[J].电子学报,2008,36(4):737-743.
[17] ZHAN C,LI W,OGUNBONA P.Local Representation of Faces through Extended NMF[J].Electronics Letters,2012,48(7):373-375.
[18] YAO Y,XU C,ZHANG B,et al.GTM-Ⅲ:a New Global Empirical Model for Mapping Zenith Wet Delays onto Precipitable Water Vapour[J].Geophysical Journal International,2014,197(1):202-212.
[19] ZHANG D,GUO J,CHEN M,et al.Quantitative Assessment of Meteorological and Tropospheric Zenith Hydrostatic Delay Models[J].Advances in Space Research,2016,58(6):1033-1043.
[20] 苗启广,王宝树.图像融合的非负矩阵分解算法[J].计算机辅助设计与图形学学报,2005,17(9):2029-2032.