SUN Yongjian, CHENG Zhen, FU Ying. Quaternion Based MicroDoppler Simulation of Ballistic Targets[J]. Electronics Optics & Control, 2013, 20(11): 65
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Micromotion kinetics modeling is a key and fundamental issue of ballistic target microDoppler feature research.At presentthe modeling techniques based on Euler anglesEulerRodrigue formula and homogeneous coordinates have some problems such as “gimbal lock”singularity and computational complexity.Quaternion method can express arbitrary rotation in 3D space intuitively and overcome shortcomings of the existing methods by using 4 values instead of the 9 of the corresponding matrix.The quaternion based precession and wobbling microDoppler frequency expressions of ballistic targets are presented after derivation.It simplifies the calculation of target microDoppler in that reducing matrix operations.The simulation results prove that the quaternion based micromotion modeling method is valid and provides a scientific basis for microDoppler extraction and recognition of ballistic targets.