云闪空间定位的三维网格搜索算法研究
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摘要
针对迭代算法用于雷电定位时依赖初始值和易于发散等问题,提出了三维网格搜索算法用于云闪空间定位解算。通过对某雷电探测网的数据进行模拟计算和数值分析,结果表明,只要网格划分得合理和恰当,多级搜索后,计算结果必定趋近于真实解,证明了该方法的有效性和稳健性。
Due to the iterative algorithm exists depending on initial value and easily divergent for lightning location, we propose a three-dimensional grid search algorithm using for positioning and calculating of intracloud lightning.The procedure of the three-dimensional grid search algorithm to find the lightning location is introduced.The lightning space range is defined according to the prior condition.Through dividing space grid reasonably and using multi-level grid search strategy to calculate the cost function value of each mesh point,t he most appropriate solution of the cost function is the maximum likelihood estimator of lightning position.The validity and stability of this method is confirmed by the simulation and numerical analysis of a lightning detection network data.When the grid is divided reasonably and properly, the results must be close to the true solution after multilevel searching.
Due to the iterative algorithm exists depending on initial value and easily divergent for lightning location, we propose a three-dimensional grid search algorithm using for positioning and calculating of intracloud lightning.The procedure of the three-dimensional grid search algorithm to find the lightning location is introduced.The lightning space range is defined according to the prior condition.Through dividing space grid reasonably and using multi-level grid search strategy to calculate the cost function value of each mesh point,t he most appropriate solution of the cost function is the maximum likelihood estimator of lightning position.The validity and stability of this method is confirmed by the simulation and numerical analysis of a lightning detection network data.When the grid is divided reasonably and properly, the results must be close to the true solution after multilevel searching.
引文
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[2]赵文光,王华,张文亮,等.雷电定位与雷电信息系统[J].水电能源科学,2001,19(4):59-62
[3]Betz H D,Schmidt K,Laroche P,et al.LINET—AnInternational Lightning Detection Network in Eu-rope[J].Atmospheric Research,2009,91:564-573
[4]Rison W,Krehbiel P,Thomas R,et al.3-Dimen-sional Lightning Observations Using a Time-of-Ar-rival Lightning Mapping System[C].InternationalFall Fuels and Lubricants Meeting and Exposition,San Antonio,Texas,2001
[5]Drue C,Hauf T,Finke U,et al.Comparison of aSAFIR Lightning Detection Network in NorthernGermany to the Operational BLIDS Network[J].Journal of Geophysical Research,2007,112:1-10
[6]Zhang P,Zhao W G,Hu Z X,et al.3-D LightningLocation Solution and Precision Analysis of CloudFlash[J].Wuhan University Journal of Natural Sci-ences,2009,14(3):241-244
[7]Rodi W.Grid-search Event Location with Non-Gaussian Error Models[J].Physics of the Earth andPlanetary Interiors,2006,158:55-66
[8]Xie Y Q,Wang Y.Grid-Search-Based HybridTOA/AOA Location Techniques for NLOS Envi-ronments[J].IEEE Communications Letters,2009,13(4):254-256
[9]刘明.基于多站点三维定位的闪电监测研究[D].杭州:浙江大学,2011
[10]郭福成.基于多级网格搜索的固定单站无源定位方法[J].信号处理,2008,24(6):927-93
[11]宋印军,岳天祥.基于多重网格法求解的高精度曲面建模模型[J].武汉大学学报.信息科学版,2009,34(6):711-714
[12]Wood T G.Geo-Location of Individual LightingDischarges Using Impulsive VLF ElectromagneticWaveforms[D].Stanford,California:Stanford U-niversity,2004
[13]文银平,胡志祥,赵文光,等.利用网格搜索进行地球椭球面闪电定位[J].武汉大学学报.信息科学版,2010,35(9):1 057-1 060
[14]金星,杨文东,李山有,等.一种新地震定位方法研究[J].地震工程与工程振动,2007,27(2):20-25
[15]张萍,赵文光,胡志祥,等.雷电定位系统云闪定位精度图形因素分析[J].武汉大学学报.理学版,2009,55(2):249-253
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