Influence of the noise on DFT-based sine-wave frequency and amplitude estimators
Influence of the noise on DFT-based sine-wave frequency and amplitude estimators
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DOI：
10.1016/j.measurement.2019.01.058
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发表时间：
2019-04-01
期刊：
影响因子：
5.6
通讯作者：
Petri, Dario
中科院分区：
文献类型：
--
作者：
Belega, Daniel;Petri, Dario
本文分析了宽带噪声对基于离散傅里叶变换（DFT）采样位于频谱峰值附近的通用正弦波频率和幅度估计器精度的影响。采用余弦窗来减小负频率分量对谱泄漏参数估计的影响。估计方差的封闭形式的表达式。此外，表示为DFT样本模块的通用线性函数的比率的频率估计器的方差进行了具体研究。它还表明，当被认为是复值DFT样本时，可以实现相同的频率估计精度。推导出的表达式进行了验证，一个特定的正弦波频率估计和相关的幅度估计，使用仿真和实验结果。(C)2019爱思唯尔有限公司版权所有。
This paper analyses the effect of wide-band noise on the accuracy of generic sine-wave frequency and amplitude estimators based on Discrete Fourier Transform (DFT) samples located closely to the spectrum peak. A cosine window is adopted to reduce the influence on the estimated parameters of spectral leakage from the negative frequency component. Closed-form expressions for the estimator variances are derived. Moreover, the variance of a frequency estimator expressed as a ratio of generic linear functions of DFT sample modules is specifically investigated. It is also shown that the same frequency estimation accuracy can be achieved when complex-valued DFT samples are considered. The derived expressions are verified on a specific sine-wave frequency estimator and a related amplitude estimator, using both simulation and experimental results. (C) 2019 Elsevier Ltd. All rights reserved.