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| Citation: | GONG Zhihua, LI Kaiming, DUAN Pengwei, et al. Attitude and orbital coupled modeling and micro-Doppler characteristics analysis of the projectile with initial disturbances[J]. Journal of Radars, 2023, 12(4): 793–803. doi: 10.12000/JR23026
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Attitude and Orbital Coupled Modeling and Micro-Doppler Characteristics Analysis of the Projectile with Initial Disturbances
doi: 10.12000/JR23026
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Abstract
Radar echo modeling based on dynamics and kinematics serves as the theoretical basis for micro-Doppler characteristic analysis and projectile parameter extractions. First, the initial disturbance of a projectile in the straight-line ballistic segment is analyzed. Based on the dynamic equation of the projectile, an angular motion model of the projectile characterized by two circular motion modes is established. Moreover, the motion definitions of projectile spin, nutation, and precession are explained. Subsequently, the parameterized characterization of the micro-Doppler signal produced by the angular motion of the projectile is derived. Furthermore, the mapping relationship between the angular motion of the projectile and the radar echo is obtained at the signal level. Taking high-speed spin projectile and a low-speed spin tail projectile as examples, when the angular motion of the two targets are affected by the initial disturbance, the radar echo signal model of the two targets is simulated and time-frequency analysis is carried out. The validity of the theoretical analysis and the model is verified by comparing the simulation results with the measured data of the projectile. Therefore, the micro-Doppler effect theory of projectile is enriched and verified through theoretical analysis, simulation modeling, and experimental verification. This study provides theoretical and technical support for the identification and analysis of projectile motion characteristics. -
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References
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- Figure 1. Schematic diagram of ballistic and the straight line segment
- Figure 2. Spatial geometric relation of projectile angular motion in the straight line segment
- Figure 3. Spatial geometric relation of the four coordinate systems as the projectile is stationary
- Figure 4. In the case of neither the fast nor the slow circular motion decays (high-speed rotating projectile)
- Figure 5. In the case of the fast circular motion decays and the slow circular motion remains (high-speed rotating projectile)
- Figure 6. In the case of both the fast and the slow circular motion decays (high-speed rotating projectile)
- Figure 7. In the case of neither the fast nor the slow circular motion decays (rotating tail projectile)
- Figure 8. In the case of the fast circular motion decays and the slow circular motion remains (rotating tail projectile)
- Figure 9. In the case of both the fast and the slow circular motion decays (rotating tail projectile)
- Figure 10. Simulated time-frequency image of projectile in the straight line segment
- Figure 11. Time-frequency image of terminal guided projectile in the straight line segment
- Figure 12. Actual time-frequency image of projectile in the straight line segment
- Figure 13. Time-frequency image of terminal guided projectile in the straight line segment