复杂电磁环境下北斗干扰源的协同定位技术
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摘要
针对于复杂电磁环境下对北斗干扰源的定位需求,提出利用到达时间差TDOA和到达频率差FDOA的协同定位方法,建立干扰源协同定位算法的数学模型,进行迭代求解和结果评估,分析定位算法的克拉美劳下界。仿真结果表明,该方法具有较好的定位精度和算法性能。
Under the complicated electromagnetic environment for positioning requirement of beidou interference sources,aco-location method is proposed based on Time Difference Of Arrival(TDOA)and Frequency Difference Of Arrival(FDOA),andthe interference sources of collaborative localization algorithm is modeled mathematically,which is solved iteratively. An assess-ment on the results is made and Cramer Rao lower bound of the localization algorithm is analyzed. The simulation results demon-strate that the method has better precision and algorithm performance.
Under the complicated electromagnetic environment for positioning requirement of beidou interference sources,aco-location method is proposed based on Time Difference Of Arrival(TDOA)and Frequency Difference Of Arrival(FDOA),andthe interference sources of collaborative localization algorithm is modeled mathematically,which is solved iteratively. An assess-ment on the results is made and Cramer Rao lower bound of the localization algorithm is analyzed. The simulation results demon-strate that the method has better precision and algorithm performance.
引文
[1]邢美丽,肖军鹏.复杂电磁环境下协同干扰技术研究[J].遥测遥控,2010,31(4):30-35.XING Meili,XIAO Junpeng.Research on CooperativeJamming in Complex Electromagnetic Environment.Jour-nal of Telemetry[J].Tracking and Command,2010,31(4):30-35.
[2]陈霄,徐慨,董蛟,等.卫星干扰源定位系统的研究[J].信息通信,2015,8:34-36.CHEN Xiao,XU Kai,DONG Jiao,et al.Research of theSatellite Interference Location System[J].Information&Communications,2015,8:34-36.
[3]Smith J,J.Abel.The Spherical Interpolation Method ofSource Localization[J].IEEE J.Oceanic Eng,2003,12(1):246-252.
[4]Chan Y T,K.C.Ho.A Simple and Efficient Estimator forHyperbolic Location[J].IEEE Transactions on Signal Pro-cessing,1994,42(8):1905-1915.
[5]Ho K C,Y.T.Chan.Geolocation of a Known Altitude Ob-ject From TDOA and FDOA Measurements[J].IEEETRansactions on Aerospace and Electronic Systems,1997,33(3):770-783.
[6]Fowler M L,X.Hu.Signal Models for TDOA/FDOA Esti-mation[J].IEEE TRansactions on Aerospace and Elec-tronic Systems,2008,44(4):1543-1550.
[7]Yeredor A,E.Angel.Joint TDOA and FDOA Estimation:A Conditional Bound and Its Use for Optimally WeightedLocalization[J].IEEE Transactions on Signal Processing,2011,59(4):1612-1623.
[8]Kovavisaruch L,K.C.Ho.Alternate Source and ReceiverLocation Estimation Using TDOA with Receiver PositionUncertainties[J].IEEE Infernation conference on acous-tics speech and signal processing,2005,4:1065-1068.
[9]Ho K C,et al.Source Localization Using TDOA andFDOA Measurements in the Presence of Receiver LocationErrors:Analysis and Solution[J].IEEE Transactions onSignal Processing,2007,55(2):684-696.
[10]Ho K C,W.Xu.An Accurate Algebraic Solution for Mov-ing Source Location Using TDOA and FDOA Measure-ments[J].IEEE Transactions on Signal Processing,2004,52(9):2453-2463.
[11]Sun M,K.C.Ho.An Asymptotically Efficient Estimatorfor TDOA and FDOA Positioning of Multiple DisjointSources in the Presence of Sensor Location Uncertainties[J].IEEE Transactions on Signal Processing,2011,59(7):3434-3440.
[2]陈霄,徐慨,董蛟,等.卫星干扰源定位系统的研究[J].信息通信,2015,8:34-36.CHEN Xiao,XU Kai,DONG Jiao,et al.Research of theSatellite Interference Location System[J].Information&Communications,2015,8:34-36.
[3]Smith J,J.Abel.The Spherical Interpolation Method ofSource Localization[J].IEEE J.Oceanic Eng,2003,12(1):246-252.
[4]Chan Y T,K.C.Ho.A Simple and Efficient Estimator forHyperbolic Location[J].IEEE Transactions on Signal Pro-cessing,1994,42(8):1905-1915.
[5]Ho K C,Y.T.Chan.Geolocation of a Known Altitude Ob-ject From TDOA and FDOA Measurements[J].IEEETRansactions on Aerospace and Electronic Systems,1997,33(3):770-783.
[6]Fowler M L,X.Hu.Signal Models for TDOA/FDOA Esti-mation[J].IEEE TRansactions on Aerospace and Elec-tronic Systems,2008,44(4):1543-1550.
[7]Yeredor A,E.Angel.Joint TDOA and FDOA Estimation:A Conditional Bound and Its Use for Optimally WeightedLocalization[J].IEEE Transactions on Signal Processing,2011,59(4):1612-1623.
[8]Kovavisaruch L,K.C.Ho.Alternate Source and ReceiverLocation Estimation Using TDOA with Receiver PositionUncertainties[J].IEEE Infernation conference on acous-tics speech and signal processing,2005,4:1065-1068.
[9]Ho K C,et al.Source Localization Using TDOA andFDOA Measurements in the Presence of Receiver LocationErrors:Analysis and Solution[J].IEEE Transactions onSignal Processing,2007,55(2):684-696.
[10]Ho K C,W.Xu.An Accurate Algebraic Solution for Mov-ing Source Location Using TDOA and FDOA Measure-ments[J].IEEE Transactions on Signal Processing,2004,52(9):2453-2463.
[11]Sun M,K.C.Ho.An Asymptotically Efficient Estimatorfor TDOA and FDOA Positioning of Multiple DisjointSources in the Presence of Sensor Location Uncertainties[J].IEEE Transactions on Signal Processing,2011,59(7):3434-3440.