Sound Source Localization by Iterative Bayesian Focusing Algorithm in the Inhomogeneous Medium

The sound propagation environment inside aero-engines is highly uncertain. In this paper, the sound propagation medium is assumed to be randomly inhomogeneous and modeled by a random function of space. Traditional methods are no longer available due to the absence of the analytical solution for Green's function. The main works of this paper are as follows: (1) The sound field is represented according to the statistical information of the predefined sound field, and then the Karhunen-Loeve expansion is used to simplify the inhomogeneous propagation medium sound field; (2) Numerical simulation is used to obtain the numerical solution of Green's function instead of the original analytical solution; (3) The Iterative Bayesian Focusing algorithm is used for sound source localization in the inhomogeneous propagation medium. Finally, the proposed method is verified by numerical simulations. The simulations show that the inhomogeneous medium sound field can be represented by a small number of random variables in a simplified way, and the location of the sound source can be accurately estimated using the proposed source localization algorithm.