Efficient closed-form solution for target localization using TDOA measurements in the presence of sensor position errors

2017 ◽  
Vol 24 (4) ◽  
pp. 1-15
Author(s):  
Yan Leibing ◽  
Zhang Yerong ◽  
Lu Yin
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Target Localization ◽  
Position Errors ◽  
Sensor Position

scholarly journals Refining Inaccurate Transmitter and Receiver Positions Using Calibration Targets for Target Localization in Multi-Static Passive Radar

Sensors ◽  
2019 ◽  
Vol 19 (15) ◽  
pp. 3365 ◽  
Author(s):  
Yongsheng Zhao ◽  
Dexiu Hu ◽  
Yongjun Zhao ◽  
Zhixin Liu ◽  
Chuang Zhao
Keyword(s):  
Lower Bound ◽  
Closed Form Solution ◽  
Form Solution ◽  
Measurement Noise ◽  
Target Localization ◽  
Passive Radar ◽  
Localization Accuracy ◽  
Position Errors ◽  
Simulation Results ◽  
Calibration Step

Transmitter and receiver position errors have been known to significantly deteriorate target localization accuracy in a multi-static passive radar (MPR) system. This paper explores the use of calibration targets, whose positions are known to the MPR system, to counter the loss in target localization accuracy arising from transmitter/receiver position errors. This paper firstly evaluates the Cramér–Rao lower bound (CRLB) for bistatic range (BR)-based target localization with calibration targets, which analytically indicates the potential of calibration targets in enhancing localization accuracy. After that, this paper proposes a novel closed-form solution, which includes two steps: calibration step and localization step. Firstly, the calibration step is devoted to refine the inaccurate transmitter and receiver locations using the BR measurements from the calibration targets, and then in the calibration step, the target localization can be accurately achieved by using the refined transmitter/receiver positions and the BR measurements from the unknown target. Theoretical analysis and simulation results indicate that the proposed method can attain the CRLB at moderate measurement noise level, and exhibits the superiority of localization accuracy over existing algorithms.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations
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