利用DFT和迭代校正的正弦信号频率估计算法

摘要

对电磁信号的频率估计广泛应用于通信、雷达、导航和电子对抗等领域.针对正弦信号的频率精确估计,本文提出了一种利用DFT和迭代校正的频率估计算法,并与现有三种基于DFT的频率估计算法进行了性能仿真对比,分析结果表明,新算法的频率估计性能明显优于其他三种算法,可以得到非常逼近CRLB的频率估计值,迭代校正5次时,频率估计的RMSE距离CRLB不到0.07 dB,而且没有估计误差平层,算法估计精度高,对频率的取值范围不敏感,性能稳定,迭代校正的复杂度较低,具有很好的应用价值.%The frequency estimation of electromagnetic signals is widely used in the fields of communication,radar,navigation and electronic warfare.In order to make an accurate estimation of the sinusoidal signal frequency,this paper proposes a frequency estimation algorithm capable of Discrete Fourier Transform (DFT) and iterative correction.The proposed algorithm is compared with the three existing frequency estimation algorithms capable of DFT.The results demonstrate that the frequency estimation performance of the proposed algorithm is definitely better than the other three algorithms,and the frequency estimation Root Mean Square Error (RMSE) of the proposed algorithm can be very close to Cramer-Rao Lower Bound (CRLB).When the iteration is up to 5,the RMSE of the proposed algorithm is less than 0.07 dB from the CRLB,and there is no estimation error floor.The proposed algorithm is of high estimation accuracy,stable performance due to insensitive to the range of frequency and the complexity of iterative correction is low,so the proposed algorithm has a very great application value.