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This work presents a robust scheme for automatically discovering the coordinates of nodes in an acoustic sensor network. The system is based on utilizing measured Time Difference of Arrival (TDOA) information. The focus is on how to increase the robustness of the system in configurations which render the problem ill-posed. Truncated Singular Value Composition and Tikhonov Regularization are analyzed to cover an ill-posed problem with data produced by an acoustic sensor network. The initial experiments published in this work show that the robustness of such networks can be increased if either of the tested methods is used.