An accurate localization approach of acoustic source target with linear least square method

Based on the analysis of the decay model depicted by acoustic energy and distance,an accurate localization approach of source target with unknown acoustic emission energy is proposed.When the localization model of acoustic energy is transformed as the estimation problem of unconstrained linear least square(ULLS) method,the accurate localization results are directly represented as algebraic solutions.The parameters of ULLS method are further optimized,then the constrained linear least square(CLLS) method is put forward to improve the localization accuracy.To decrease the locaUzation error the localization computation method is improved when the beacon positions contain Gaussian noises.The simulations demonstrate the validity of the localization computation method and numerically simulate the impacts of observation signal noises and beacon position noises on localization error.The results also show that the localization error of CLLS method is less than that of ULLS method and more closely to the Cramer-Rao low bound(CRLB) of localization error.