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自相关法可用于估计弹道中段雷达目标的进动周期,它需要预先给出进动周期的上下限。进动周期下限可能远小于真实进动周期,此时自相关法的估计性能将严重下降。定义了自相关函数(ACF)的凸包,在此基础上提出了一种改进的自相关法。首先求出ACF和其凸包的差函数,然后搜索差函数的最大值,从而得到进动周期的估计值。理论分析和仿真结果表明:当进动周期下限和真实进动周期相差不大时,该方法的估计性能接近自相关法;当进动周期下限远小于真实进动周期时,该方法仍然具有良好的估计性能;由于进动周期的上下限之比通常大于2,因此该方法的计算量比自相关法增大的倍数小于1.4;同时它对先验信息的要求非常宽松。因此该方法具有广泛的适用性。
The autocorrelation method can be used to estimate the precession period of the ballistic mid-range radar target. It needs to give the upper and lower limits of the precession period in advance. The lower limit of the precession period may be much smaller than the true precession period, at which time the estimated performance of the auto-correlation method will be severely degraded. The convex hull of the autocorrelation function (ACF) is defined. Based on this, an improved autocorrelation method is proposed. First, find the difference function of ACF and its convex hull, and then search the maximum value of the difference function to get the estimated precession period. Theoretical analysis and simulation results show that the estimated performance of this method is close to the autocorrelation method when the lower limit of precession period is not much different from the real precession period, and the method still has good performance when the precession period lower limit is much smaller than the real precession period Since the ratio of upper and lower precession periods is usually greater than 2, the computational complexity of the proposed method is less than 1.4 times that of autocorrelation method. At the same time, it requires very little prior information. Therefore, this method has a wide range of applicability.