Practical constrained least-square algorithm for moving source location using TDOA and FDOA measurements  

作　　者：Huagang Yu Gaoming Huang Jun Gao Bo Yan 

机构地区：[1]College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, P. R. China [2]Marine Communication Technology Institute, Beijing 100841, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2012年第4期488-494,共7页系统工程与电子技术（英文版）

基　　金：supported by the National High Technology Research and Development Program of China (863 Program) (2010AA7010422; 2011AA7014061)

摘　　要：By utilizing the time difference of arrival （TDOA） and frequency difference of arrival （FDOA） measurements of signals received at a number of receivers, a constrained least-square （CLS） algorithm for estimating the position and velocity of a moving source is proposed. By utilizing the Lagrange multipliers technique, the known relation between the intermediate variables and the source location coordinates could be exploited to constrain the solution. And without requiring apriori knowledge of TDOA and FDOA measurement noises, the proposed algorithm can satisfy the demand of practical applications. Additionally, on basis of con- volute and polynomial rooting operations, the Lagrange multipliers can be obtained efficiently and robustly allowing real-time imple- mentation and global convergence. Simulation results show that the proposed estimator achieves remarkably better performance than the two-step weighted least square （WLS） approach especially for higher measurement noise level.By utilizing the time difference of arrival （TDOA） and frequency difference of arrival （FDOA） measurements of signals received at a number of receivers, a constrained least-square （CLS） algorithm for estimating the position and velocity of a moving source is proposed. By utilizing the Lagrange multipliers technique, the known relation between the intermediate variables and the source location coordinates could be exploited to constrain the solution. And without requiring apriori knowledge of TDOA and FDOA measurement noises, the proposed algorithm can satisfy the demand of practical applications. Additionally, on basis of con- volute and polynomial rooting operations, the Lagrange multipliers can be obtained efficiently and robustly allowing real-time imple- mentation and global convergence. Simulation results show that the proposed estimator achieves remarkably better performance than the two-step weighted least square （WLS） approach especially for higher measurement noise level.

关 键 词：source localization constrained least-square（CLS） time difference of arrival （TDOA） frequency difference of arrival（FDOA） Lagrange multiplier. 

分 类 号：O231[理学—运筹学与控制论] O415.5[理学—数学]