基于中国余数定理的目标距离估计算法

Method based on Chinese remainder theorem for range estimation of the target

为了提高目标检测性能,脉冲多普勒(pulsed Doppler, PD)雷达常常采用高脉冲重复频率(pulsed repetition frequency, PRF)信号,以便在信号频域获得比较宽的无杂波区,但高的PRF往往引起目标的距离模糊。现有的解距离模糊算法大都面临计算量大的问题,该文紧密结合PD雷达体制的特点,在基于PD雷达参差重频模式下,提出一种最优余数的封闭式鲁棒中国余数定理(closed-form robust Chinese remainder theorem, CFRCRT)目标距离估计方法。该方法不仅可以在视在距离有误差的情况下精准地重构目标真实距离,而且具有封闭式的解析解,大大减小了运算量。理论分析和仿真实验都表明该文提出的方法在精度和实时性能上都具有一定的优越性。

In order to improve the performance in target detection, pulsed Doppler (PD) radar always adopts high pulse repetition frequency (HPRF) signal to obtain wider free clutter areas in frequency domain. However, HPRF will lead to range ambiguity for the detecting target. For the most of current algorithms facing with big computer complexity to solve range ambiguity, a method based on optimal remainder closed-form robust Chinese remainder Theorem (CFRCRT) is proposed, which combines the characteristic and stagger-period model of the PD radar for range estimation of the target. The proposed method can not only accurately reconstruct the true range of the target from the erroneous apparent ranges, but also decrease the computer complexity due to the closed-form solution. Both theoretical analysis and simulation result demonstrate that the method has the advantage in measure precision and real-time performance.