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基于可选 DTFT 样本内插的复指数信号的高效频率估计器。

An Efficient Frequency Estimator for a Complex Exponential Signal Based on Interpolation of Selectable DTFT Samples.

机构信息

Department of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, China.

Department of Information Engineering, Zhengzhou University, Zhengzhou 450001, China.

出版信息

Sensors (Basel). 2022 Jan 23;22(3):861. doi: 10.3390/s22030861.

Abstract

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).

摘要

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)。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/af15/8839431/91746f2540d3/sensors-22-00861-g001.jpg

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