Localization algorithm based on TOA applying constrained optimization theory

Applications in areas like telecommunication and acoustic source detection require the determination of the localization of a transmitter by using the TOA values measured by signal receivers at different positions.To address this problem,an algorithm based on TOA applying constrained optimization theory is proposed.The algorithm chooses the weighted least square functions determined by location equations as the target function and uses the relation between elements of unknown variables as restriction condition.Numerical simulation compares the performance between this algorithm and other algorithms such as two-step weighted least square algorithm and CRLB,and the results suggest that the localization accuracy is effectively improved.