Abstract | ||
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Bearings-only tracking (BOT) and Doppler-bearing tracking (DBT) perform target motion analysis from measurements of bearings, Doppler and bearings, respectively. The state equations are simple for both the target and observer in the rectangular coordinates. Hence, BOT and DBT mostly work in that coordinate. By developing the trigonometric relations between target and observer postions over time, this paper first derives the pseudolinear equations for direct range and bearing estimation. It then provides a generalized total least squares (GTLS), and a maximum likelihood solution. Polar tracking has two advantages over rectangular. First, for applications that require range and bearing, polar output avoids a coordinate conversion at every output instant. Second, polar equations often have a smaller bias than rectangular. Consequently, polar estimates can give a closer (to the optimum) initialization for iterative algorithms. Simulation results have validated the theoretical development, confirming the near optimality of the GTLS and maximum likelihood solutions. |
Year | DOI | Venue |
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2008 | 10.1109/TSP.2008.928701 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
Doppler measurement,direction-of-arrival estimation,iterative methods,least squares approximations,maximum likelihood estimation,Doppler-bearing measurement,Doppler-bearing tracking,bearings-only measurement,bearings-only tracking,generalized total least squares,geometric-polar tracking,iterative algorithms,maximum likelihood solution,polar tracking,Bearings,Doppler Shift,Doppler shift,Generalized Total Least Squares,Target Motion Analysis,generalized total least squares (GTLS),target motion analysis | Least squares,Target Motion Analysis,Mathematical optimization,Iterative method,Control theory,Bearing (mechanical),Estimation theory,Total least squares,Observer (quantum physics),Mathematics,Geographic coordinate conversion | Journal |
Volume | Issue | ISSN |
56 | 11 | 1053-587X |
Citations | PageRank | References |
5 | 0.54 | 6 |
Authors | ||
2 |