高动态多普勒频率估计及其Cramer-Rao界
Estimation of High Dynamic Doppler Frequency and Its Cramer-Rao Bounds
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摘要: 用泰勒级数展开的形式表示高动态的多普勒频率参数，推导分析了对各阶频率参数估计的最大似然估计器(MLE)及其估计误差的Cramer Rao界；描述了最大似然估计器和扩展卡尔曼滤波器(EKF) 对各阶频率参数的估计模型；并以均方根估计误差和失锁概率为性能指标，通过对同一模拟的接收机高动态轨迹的跟踪估计，比较了两种不同估计技术的基本性能。Abstract: The Doppler frequency of received signal is calculated by a Taylor series, the Cramer-Rao bounds on the estimation error is Derived and analyzed; The estimation techniques as Maximum Likelihood Estimator(MLE) and Extended Kalman Filter(EKF) are compared; Their basic frequency error performance and probability of loss-of-lock at various signal-to-noise ratios is compared by tracking a common simulated high-dynamic trajectory.
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Hinedi S, Statman J I. Digital accumulators in phase and frequency tracking loops. IEEE Trans.on AES, 1990, AES-26(1): 169-180.[2]王晓湘,柯有安.高动态多普勒频率的最大似然估计器.北京邮电大学学报,2000,23(1):61-65.[3]王晓湘,柯有安.多普勒频率跟踪的四阶加权扩展卡尔曼滤波器.北京邮电大学学报,2001,24(1):88-91.[4]宋文尧,张牙.卡尔曼滤波.北京:科学出版社,1991.[5]Friedlander B. On the Cramer-Rao bound for time delay and doppler estimation. IEEE Trans.on Information Theory, 1984, IT-30(30): 575-581. -
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