Department of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, China.
Department of Information Engineering, Zhengzhou University, Zhengzhou 450001, China.
Sensors (Basel). 2022 Jan 23;22(3):861. doi: 10.3390/s22030861.
The frequency estimation of complex exponential carrier signals in noise is a critical problem in signal processing. To solve this problem, a new iterative frequency estimator is presented in this paper. By iteratively computing the interpolation of DTFT samples, the proposed algorithm obtains a fine frequency estimate. In addition, its mean square error (MSE) analysis is presented in this paper. By analyzing influences of the selectable parameters on the estimation accuracy of the model, a method for choosing appropriate parameters is discussed, helping to reduce the estimation error of the proposed estimator. Simulation results show that compared with other algorithms with a comparable estimation accuracy, the proposed iterative estimator can obtain a root mean square error (RMSE) that is closer to Cramér-Rao lower bound (CRLB).
复指数载波信号在噪声中的频率估计是信号处理中的一个关键问题。为了解决这个问题,本文提出了一种新的迭代频率估计器。通过迭代计算 DTFT 样本的内插,该算法得到了一个精细的频率估计。此外,本文还对其均方误差(MSE)进行了分析。通过分析可选参数对模型估计精度的影响,讨论了选择合适参数的方法,有助于降低所提出的估计器的估计误差。仿真结果表明,与其他具有相当估计精度的算法相比,所提出的迭代估计器可以获得更接近克拉美-罗下限(CRLB)的均方根误差(RMSE)。