In the gun sound location system, how to use more information to quickly locate is a very important issue. In the current study, the muzzle wave has been used for single-point positioning to determine the position of the sniper, but it lacks the ballistic positioning of the flying missile. Tracking and localization using the Mach waves generated by the bullet's flight can also estimate the location of the sniper. The trajectory after the Kalman filter is more in line with the actual bullet flight trajectory, and the position of the sniper can be well resolved by using the least squares estimation. Finally, the CRLB of the proposed method is derived, and the effectiveness of the proposed method is verified by simulation.
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