基于封闭式鲁棒中国余数定理的两目标距离估计算法
A Method Based on Closed-Form and Robust Chinese Remainder Theorem for Range Estimation of Two Targets
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摘要: 工作在高脉冲重复频率(Pulsed Repetition Frequency, PRF)模式下的脉冲多普勒(Pulse Doppler, PD)雷达具有复杂气象杂波和强地杂波背景下检测运动目标的能力,但是远距离目标检测存在距离模糊问题。传统的解距离模糊算法大都采用参差重频模式下的中国余数定理(Chinese Remainder Theorem, CRT),但是由于多目标的视在距离与目标的对应关系事先未知,对基于中国余数定理算法进行距离估计带来困难。该文提出一种基于封闭式鲁棒中国余数定理的两个目标距离估计的方法,该方法无需考虑视在距离与目标的对应关系,在视在距离存在误差的情况下,利用封闭式的简单解析方法快速准确地重构出两个目标的真实距离。理论分析和仿真结果表明,该文所提方法可以高效地实现高PRF雷达两个远距离目标的距离估计。Abstract: In order to improve the performance in moving target detection, Pulsed Doppler (PD) radar always adopts High Pulse Repetition Frequency (HPRF) signal to obtain better target detection in complex weather clutter and ground clutter. However, HPRF will lead to range ambiguity for detecting remote-range targets. Traditional solution to solve range ambiguity adopts Chinese remainder theorem (CRT) based on stagger-period model, but the unknown correspondence between the target and visual range in advance leads to difficulty in multi-target range estimation via CRT algorithm. This paper proposes a method based on closed-form robust Chinese remainder theorem for range estimation of two targets. The method proposed in this paper can accurately and accurately estimate the true range of two targets from the erroneous apparent ranges without considering the correspondence between the target and visual range. Both theoretical analysis and simulation result demonstrate that the method is able to effectively estimate ranges of two targets for the high PRF radar.