A quadratic constraint solution method for TDOA and FDOA localization

This paper proposes a new closed-form solution for the position and velocity of a moving source obtained from the time differences of arrival(TDOAs) and frequency differences of arrival(FDOAs) of its emitted signal arrived at a number of receivers. The method uses weighted least-squares formulation and imposes quadratic constraints among the positioning variables to improve performance. The proposed solution can achieve the Cramer-Rao lower bound(CRLB) accuracy for Gaussian TDOA and FDOA noise with a higher noise threshold than the previous method [7]. Simulations are included to examine the performance of the proposed solution and compare with the previous method.