Analysis on the Effect of Geometric Deployment and Velocities of Sensors based on TDOA/FDOA Measurements

Dong-Gyu Kim, Yong-Hee Kim, Jin-Woo Han, Kyu-Ha Song, and Hyoung-Nam Kim


Emitter localization, TDOA, FDOA, Error ellipse


In passive emitter location systems using the Time difference of arrival(TDOA) and Frequency Difference of arrival(FDOA) measurements, the estimation performance varies with the geometric deployment and velocities of the sensors due to the high non-linearity of the TDOA/FDOA signal models, even when the estimation algorithm and the measurement error are not changed. To achieve a desired performance, finding appropriate deployment and velocities of the sensors is required. The problem is how to find them because there are too many cases of operating the emitter location systems. To cope with this problem, we derive an error ellipse to evaluate the estimation accuracy according to geometric deployment of the sensors based on the signal model in a 3-dimensional space (3-D) and various velocities. By using the derived error ellipse, analysis on the performance in the cases of several practical scenarios is carried out. The reliability of our evaluation method is confirmed by comparing to the performance evaluation based on the root-mean square error for the corresponding simulation results. Our analysis results on the various practical situations will be very helpful for operating the passive emitter location systems.

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