AN APPROACH FOR SINGLE-TONE FREQUENCY ESTIMATION USING DFT INTERPOLATION WITH PARZEN WINDOWING

Mohammed A. T. Alrubei, Pozdnyakov Alexander Dmitrievich
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Abstract

In many applications, including radar, radio and television, medical, industrial, and others, frequency estimate of a periodic sinusoidal signal is a crucial step in the signal processing process. Due to its simplicity of usage in digital systems, the interpolation-based signal frequency estimation algorithm is now frequently employed. Because of its performance speed, interpolation methods in the analysis rely on the fast Fourier transform (FFT). This paper proposes an approach for single-tone frequency estimate utilizing DFT interpolation with Parzen windowing in order to increase the accuracy of frequency estimation. In addition, compared to Li and Dian algorithm, the proposed method has a lower computing complexity and more steady performance. To minimize undesirable effects brought on by spectrum leakage from the FFT procedure, suitable windows have been investigated. To investigate the viability of the suggested method, three windows Flattop, Parzen, and Bohman, were applied to the simulation signal. When compared to the other windows, the Parzen window with the proposed algorithm outperformed them with a maximum frequency estimation error of 0.00003 compared to 0.0001 and 0.0002 for the Dian and Li algorithms, respectively, when the Sample Size was 8192.
基于parzen窗的DFT插值单音频率估计方法
在许多应用中,包括雷达、广播和电视、医疗、工业等,周期正弦信号的频率估计是信号处理过程中的关键步骤。由于在数字系统中使用简单,基于插值的信号频率估计算法现在经常被采用。由于其运算速度快,分析中的插值方法依赖于快速傅里叶变换(FFT)。为了提高单音频率估计的精度,提出了一种利用DFT插值加Parzen窗的方法。此外,与Li和Dian算法相比,该方法具有更低的计算复杂度和更稳定的性能。为了尽量减少FFT过程中频谱泄漏带来的不良影响,研究了合适的窗口。为了研究该方法的可行性,我们将Flattop、Parzen和Bohman三个窗口应用于模拟信号。与其他窗口相比,当样本量为8192时,采用该算法的Parzen窗口的最大频率估计误差为0.00003,而Dian和Li算法的最大频率估计误差分别为0.0001和0.0002。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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