Estimation of closed-form least-squares source location from range-difference measurements

The closed form solution for localization of source position is presented with a set of noisy range difference measurements. The error criteria have been minimized by the linear least squares equation error minimization techniques. The range and bearing are estimated using range differences (RD) which is used by all the three source localization methods. The nine-element orthogonal passive stationary sensor array is used for geometrical interpretations. The sensor arrangement should be well represented in all three dimensions to obtain desired estimation accuracy. The analytical expressions for the bias, variance and standard deviation of the source localization estimators are validated by the Monte-Carlo simulations. A simulation model was developed in MATLAB to study the performance of all the three closed form localization estimation methods. Simulation results show the estimation accuracy of spherical interpolation (SI) with very good noise immunity as compared to the other two source localization methods.Master of Science (Signal Processing