估计员
正弦波
数学
振幅
离散傅里叶变换(通用)
正弦
噪音(视频)
频谱泄漏
三角函数
声学
傅里叶变换
数学分析
算法
统计
快速傅里叶变换
物理
傅里叶分析
计算机科学
光学
短时傅里叶变换
图像(数学)
人工智能
电压
量子力学
几何学
作者
Daniel Belega,Dario Petri
出处
期刊:Measurement
[Elsevier]
日期:2019-04-01
卷期号:137: 527-534
被引量:6
标识
DOI:10.1016/j.measurement.2019.01.058
摘要
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.
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