A Time Delay Identification Technique for Signal Source Localization

Accurate identification of Time Difference/Delay of Arrival (TDoA) and gain ratio of arrival (GRoA) is of great importance for signal source localization. Most of the studies in the literature proposed frequency domain solutions for this problem. In this work, in a seemingly novel departure from the main stream of existing results, a time domain method is designed to simultaneously estimate TDoA and GRoA for location-measurement applications. The method is applicable to signals in vector form composed of sum of multiple signals received from multiple sources. Another advantage of the method is that it is structured to operate online. The stability of the proposed identification framework is analyzed via novel Lyapunov-type tools where global uniform ultimate boundedness of the estimation errors is ensured. The performance of the method is evaluated by numerical simulations and satisfactory results are obtained even when the received signals are subject to measurement noise.