Cramer-rao lower bound for single target tracking accuracy with coordinated turn maneuvers using range and bearing measurements

Author(s):  
M. Karan ◽  
R.N. Lobbia
Sensors ◽  
2022 ◽  
Vol 22 (2) ◽  
pp. 509
Author(s):  
Dipayan Mitra ◽  
Aranee Balachandran ◽  
Ratnasingham Tharmarasa

Airborne angle-only sensors can be used to track stationary or mobile ground targets. In order to make the problem observable in 3-dimensions (3-D), the height of the target (i.e., the height of the terrain) from the sea-level is needed to be known. In most of the existing works, the terrain height is assumed to be known accurately. However, the terrain height is usually obtained from Digital Terrain Elevation Data (DTED), which has different resolution levels. Ignoring the terrain height uncertainty in a tracking algorithm will lead to a bias in the estimated states. In addition to the terrain uncertainty, another common source of uncertainty in angle-only sensors is the sensor biases. Both these uncertainties must be handled properly to obtain better tracking accuracy. In this paper, we propose algorithms to estimate the sensor biases with the target(s) of opportunity and algorithms to track targets with terrain and sensor bias uncertainties. Sensor bias uncertainties can be reduced by estimating the biases using the measurements from the target(s) of opportunity with known horizontal positions. This step can be an optional step in an angle-only tracking problem. In this work, we have proposed algorithms to pick optimal targets of opportunity to obtain better bias estimation and algorithms to estimate the biases with the selected target(s) of opportunity. Finally, we provide a filtering framework to track the targets with terrain and bias uncertainties. The Posterior Cramer–Rao Lower Bound (PCRLB), which provides the lower bound on achievable estimation error, is derived for the single target filtering with an angle-only sensor with terrain uncertainty and measurement biases. The effectiveness of the proposed algorithms is verified by Monte Carlo simulations. The simulation results show that sensor biases can be estimated accurately using the target(s) of opportunity and the tracking accuracies of the targets can be improved significantly using the proposed algorithms when the terrain and bias uncertainties are present.


2014 ◽  
Vol 496-500 ◽  
pp. 1564-1567
Author(s):  
Jing Feng He ◽  
Ming Ji ◽  
Song Cheng ◽  
Ya Nan Wang

Based on introducing the traditional scan and single target tracking state, focuses on the automatic tracking characteristics of each stage under the condition of multiple targets. The two form of automatic tracking multiple targets, and the development direction of the future.


2013 ◽  
Vol 385-386 ◽  
pp. 1249-1254
Author(s):  
Yan Li Zhao ◽  
Hua Bing Wang ◽  
Xiang Dong Gao ◽  
Yuan Zheng Chen ◽  
Zhou Jie Yan

The Cramer-Rao Lower Bound (CRLB) for the location accuracy of the netted radar is explored and the CRLB for the nonlinear filtering of a single radar is derived. The calculation process of the CRLB for the location accuracy of the netted radar is given by combining the above results. Simulation tests for the location and tracking accuracy of the netted radar under different conditions are conducted and several factors affecting the tracking accuracy of the netted radar are analyzed. The theoretical achievement derived in this paper can be used as a key theoretical basis for the evaluation of the performance of the netted radar.


Author(s):  
Xueting Li ◽  
Wei Yi ◽  
Guolong Cui ◽  
Lingjiang Kong ◽  
Xiaobo Yang

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