[1] Houtekamer P L, Mitchell H L.A sequential ensemble Kalman filter for atmospheric data assimilation.Mon Wea Rev, 2001, 129:123-137. doi:  10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2
[2] Bannister R N.A review of forecast error covariance statistics in atmospheric variational data assimilation.I:Characteristics and measurements of forecast error covariances.Q J R Meteorol Soc, 2008, 134:1951-1970. doi:  10.1002/qj.v134:637
[3] Hollingsworth A, Lonnberg P.The statistical structure of short-range forecast errors as determined from radiosonde data.Part Ⅰ:The wind field.Tellus, 1986, 38A:111-136. doi:  10.1111/tela.1986.38A.issue-2
[4] Lonnberg P, Hollingsworth A.The statistical structure of short-range forecast errors as determined from radiosonde data.Part Ⅱ:The covariance of height and wind errors.Tellus, 1986, 38A:137-161. doi:  10.1111/tela.1986.38A.issue-2
[5] Franke R.Three-dimensional covariance functions for NOGAPS data.Mon Wea Rev, 1999, 127:2293-2308. doi:  10.1175/1520-0493(1999)127<2293:TDCFFN>2.0.CO;2
[6] Xu Qin, Li Wei, Andrew V T, et al.Estimation of three-dimensional error covariances.Part I:Analysis of height innovation vectors.Mon Wea Rev, 2001, 129:2126-2135. doi:  10.1175/1520-0493(2001)129<2126:EOTDEC>2.0.CO;2
[7] 庄照荣, 薛纪善, 庄世宇, 等.资料同化中背景场位势高度误差统计分析的研究.大气科学, 2006, 30(3):533-544. doi:  10.3878/j.issn.1006-9895.2006.03.16
[8] Parrish D, Derber J.The national meteorological center spectral statistical interpolation analysis.Mon Wea Rev, 1992, 120:1747-1763. doi:  10.1175/1520-0493(1992)120<1747:TNMCSS>2.0.CO;2
[9] Dee D, Gaspari G.Development of Anisotropic Correlation Models for Atmospheric Data Assimilation.The 11th Conference on Numerical Weather Prediction.American Meteorological Society, 1996:249-251.
[10] Ingleby B N.The statistical structure of forecast errors and its representation in The Met Office Global 3-D Variational Data Assimilation Scheme.Q J R Meteorol Soc, 2001, 127:209-231. doi:  10.1002/(ISSN)1477-870X
[11] Wu Wanshu, Purser R J.Three-dimensional variational analysis with spatially inhomogeneous covariances.Mon Wea Rev, 2002, 130:2905-2916. doi:  10.1175/1520-0493(2002)130<2905:TDVAWS>2.0.CO;2
[12] 王金成, 庄照荣, 韩威, 等.GRAPES全球变分同化背景误差协方差的改进及对分析预报的影响:背景误差协方差三维结构的估计.气象学报, 2014, 72(1):62-78. http://d.old.wanfangdata.com.cn/Periodical/qxxb201401005
[13] 王亚华, 杨晓帆, 曾勇虎, 等.GRAPES全球模式背景误差协方差水平结构特征分析.干旱气象, 2017, 35(1):57-63. http://d.old.wanfangdata.com.cn/Periodical/ghqx201701008
[14] Evensen G.The ensemble Kalman filter:Theoretical formulation and practical implementation.Ocean Dynamics, 2003, 53:343-367. doi:  10.1007/s10236-003-0036-9
[15] 庄照荣, 薛纪善, 李兴良.GRAPES集合卡尔曼滤波资料同化系统Ⅰ:系统设计及初步试验.气象学报, 2011, 69(4):620-630. http://d.old.wanfangdata.com.cn/Periodical/qxxb201105010
[16] 庄照荣, 薛纪善, 李兴良.GRAPES集合卡尔曼滤波资料同化系统Ⅱ:区域分析及集合预报.气象学报, 2011, 69(5):860-871. http://d.old.wanfangdata.com.cn/Periodical/qxxb201105010
[17] Bishop C H, Etherton B J, Majumdar S J.Adaptive sampling with the ensemble transform Kalman filter.Part Ⅰ:Theoretical aspects.Mon Wea Rev, 2001, 129:420-436. doi:  10.1175/1520-0493(2001)129<0420:ASWTET>2.0.CO;2
[18] 马旭林, 薛纪善, 陆维松.GRAPES全球集合预报的集合卡尔曼变换初始扰动方案初步研究.气象学报, 2008, 66(4):526-536. doi:  10.3321/j.issn:0577-6619.2008.04.006
[19] Polavarapu S, Ren S, Rochon Y, et al.Data assimilation with the Canadian middle atmosphere model.Atmos Ocean, 2005, 43:77-100. doi:  10.3137/ao.430105
[20] Bannister R N.A review of forecast error covariance statistics in atmospheric variational data assimilation.Ⅱ:Modelling the forecast error covariance statistics.Q J R Meteorol Soc, 2008, 134:1971-1996. doi:  10.1002/qj.v134:637
[21] 王瑞春, 龚建东, 张林.GRAPES变分同化系统中动力平衡约束的统计求解.应用气象学报, 2012, 23(2):129-138.  http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20120201&flag=1
[22] 薛纪善, 陈德辉.数值预报系统GRAPES的科学设计与应用.北京:科学出版社, 2008.
[23] 薛纪善, 刘艳, 张林, 等.GRAPES全球三维变分同化系统模式变量分析版(文档试用本).2012.
[24] 朱宗申, 朱国富.有限区域风速场求解流函数和速度势场的有效方案.应用气象学报, 2008, 19(1):10-18. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20080103&flag=1
[25] 薛纪善.我国西北高原地区数值预报的几个科学问题.干旱气象, 2005, 23(1):68-71. doi:  10.3969/j.issn.1006-7639.2005.01.013
[26] 陈耀登, 赵幸, 闵锦忠, 等.青藏高原和华东地区背景误差协方差特征的对比研究.大气科学学报, 2015, 38(5):650-657. http://d.old.wanfangdata.com.cn/Periodical/njqxxyxb201505008
[27] 央美, 达瓦泽仁, 贡觉顿珠, 等.数值预报产品在藏北高原可预报性检验.安徽农业科学, 2013, 41(17):7620-7623;7675. doi:  10.3969/j.issn.0517-6611.2013.17.082
[28] 陈德辉, 沈学顺.新一代数值预报系统GRAPES研究进展.应用气象学报, 2006, 17(6):773-777. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=200606125&flag=1
[29] 黄丽萍, 陈德辉, 邓莲堂, 等.GRAPES_Meso V4.0主要技术改进和预报效果检验.应用气象学报, 2017, 28(1):25-37. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20170103&flag=1
[30] 庄照荣, 薛纪善, 韩威, 等.探空观测黑名单检査在变分同化系统中的应用.应用气象学报, 2014, 25(3):274-283. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20140303&flag=1
[31] 郝民, 龚建东, 田伟红, 等.L波段探空仪湿度资料偏差订正及同化试验.应用气象学报, 2018, 29(5):559-570. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20180505&flag=1
[32] 刘艳, 薛纪善, 张林, 等.GRAPES全球三维变分同化系统的检验与诊断.应用气象学报, 2016, 27(1):1-15. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20160101&flag=1
[33] 王金成, 陆慧娟, 韩威, 等.GRAPES全球三维变分同化业务系统性能.应用气象学报, 2017, 28(1):11-24. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20170102&flag=1
[34] 朱立娟, 龚建东, 黄丽萍, 等.GRAPES三维云初始场形成及在短临预报中的应用.应用气象学报, 2017, 28(1):38-51. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20170104&flag=1