Source localization through adaptive signal attenuation model and time delay estimation

In this paper we present a method of localizing multiple wideband acoustic sources based on both signal attenuation pattern and delays in the reception of the signal. Moreover, an additional order of flexibility is added to the problem by considering the attenuation model as an unknown function with reasonable prior assumptions about its functional space. Such approach is capable of enhancing the localization performance compared to when only the signal attenuation data or the time delays are used. A cost function is then formed in terms of the sources locations and the attenuation model parameters. Having different types of unknowns in the cost function, convergence concerns, and the advantage of using trust region methods encourages using the Levenberg-Marquardt algorithm. Accordingly, to simplify the implementation of the proposed algorithm, methods of calculating the Jacobian are provided. Finally the validity of the proposed method is verified by providing simulation results.