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常见非相参捷变频雷达利用随机重频调制旋转磁控管,发射随机射频。本文证明了重频为常数,磁控管调谐曲线为谐波函数时,可用维纳—霍甫方程(Weiner-Hopf)求得预测器为二阶契比雪夫恒等式。此时,预测器为无偏估计,估计误差之均方差为零。当随机重频调制磁控管时,其射频序列可用自回归模型(AR)来近似。本文以瑞典产9LV雷达为例,讨论随机重频频谱、磁控管调谐曲线之高次谐波及磁控管电机转速变化对预测误差的影响。计算结果表明,预测器用四到六阶数字滤波器制作,其预测误差之均方根差不大于千分之一。
Common non-coherent Agile variable frequency radar using random frequency modulation rotating magnetron, random radio frequency. This paper proves that when the repetition rate is a constant and the magnetron tuning curve is a harmonic function, the second-order Chebyshev equation can be obtained by Weiner-Hopf’s predictor. At this point, the predictor is unbiased, and the mean square error of the estimated error is zero. When a random frequency modulation magnetron, its RF sequence can be used to approximate the autoregressive model (AR). In this paper, the Swedish 9LV radar is taken as an example to discuss the influence of random repetition spectrum, the higher harmonics of the magnetron tuning curve and the change of magnetron motor speed on the prediction error. The calculation results show that the predictor is made of four to six digital filters and the root mean square error of prediction error is not more than one thousandth.