Solution of Time Difference Positioning Solution Based on Short Baseline

All methods of solving time difference positioning problems usually adopt means which linearize the hyperbola equations that come from TDOAs.They have good precision when the baseline is long,but they have common defects of tremendous calculation and complex realization.When the TDOAs are very precise,a new simple method for positioning time difference based on short baseline is proposed,namely the hyperbola asymptote least square position method(HA-LS).The core of this method is that the hyperbola asymptote equations are linear and asymptotes are very close to the hyperbola to certain extent.In this article the method is deduced in detail.Simulation results indicate that the proposed method have a better characteristic than the traditional methods at far field.