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Ultra-Wideband (UWB) communication system provides high accurate localization due to the high multi-path resolution capacity and large bandwidth of a UWB signal. Time Difference of Arrival (TDOA) technique provides very good accuracy, which is suitable for applying to UWB communication and localization systems. Estimating the target location from TDOA measurements is not an easy task since it is dealing with a set of nonlinear equations relating to the target location and the TDOA measurements. All kinds of method is by exhaustive search ,which is computationally Intensive and suffers from the initialization and convergence problems. The paper develops an linear solution that estimate the target location, which does have convergence problems . Simulation results indicate that the proposed solution calculates the position of the target precisely.