微动目标合成距离像数学分析

Mathematics of Synthesizing Range Profile of Target with Micro-Motion

首先给出了微动目标合成宽带信号回波的一般模型,利用矩阵理论和离散傅里叶变换理论分析了微动目标合成距离像的一般数学原理和多普勒效应,证明了传统的最大二次相位误差准则不能精确地表征运动对距离像的影响,提出了新的距离像畸变度量指标,并给出了关于新准则的几个有用的结论,对步进频率信号进行了具体分析,最后给出了仿真计算,证明了理论分析的结论.

General model is derived for the echo signal of a target with micro-motion when radar transmits synthetic wideband signal. With matrix theory and DPT theory, the mathematic principle and Doppler effect are investigated for synthesizing range profile of a target with micro-motion, which demonstrates that the traditional maximum quadratic phase error criterion does not exactly represent the effect of motion on synthetic range profile. Therefore, a new criterion is proposed for measuring distortion of synthetic range profile. Several interesting conclusions about the criterion are derived. Stepped-frequency waveform is discussed and its simulation is presented, which confirms our analytic conclusions.