Passive ranging of amoving sound source using three-dimensional information measurement

In order to solve the problem of passive ranging of moving sound source,a method of estimating the initial distance of target by using the measurement information of target azimuth,Doppler frequency shift and distance characteristic quantity is presented.Through pseudo linearization,a linear model with heteroscedasticity is constructed.It is proved that the system can uniquely determine the distance,velocity and course of a non-radial moving sound source target by using the observation information of three target bearing,two Doppler frequency shift and two distance characteristic quantity,but the system is unobservable only by using the observation information of the target Azimuth and distance characteristic quantity under the condition of direct navigation of Sonar Platform.Monte Carlo simulations show that the average convergence time of the three-dimensional information measurement method is about 200 seconds less than that of the reference method,and the standard deviation of the convergence time is about 40 seconds less for an initial distance of five nautical miles.With the increase of the initial distance,the convergence time difference between the two methods tends to increase,which means the robustness of 3 D information construction method is better than that of reference method.The experimental data further verify that the estimation of target distance tends to converge in about 300 seconds.Therefore,this method can realize passive ranging of moving sound source under the condition of stable interference structure.