一种迭代插值DFT算法估计正弦波频率的精度

2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings Pub Date : 2015-05-11 DOI:10.1109/I2MTC.2015.7151553

D. Belega, D. Petri, D. Dallet

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引用次数: 8

摘要

本文分析了基于最大旁瓣衰减(MSD)窗口的迭代插值离散傅立叶变换(IpDFT)算法返回的正弦波频率估计器的精度。推导了正弦波图像分量的频谱干扰和宽带噪声对频率估计误差的贡献表达式。结果表明，两次算法迭代保证了所采用窗口的最小噪声灵敏度。通过计算机模拟和实验结果验证了推导表达式的准确性。

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Accuracy of sine-wave frequency estimation by an iterative Interpolated DFT algorithm

In this paper the accuracy of the sine-wave frequency estimator returned by an iterative Interpolated Discrete Fourier Transform (IpDFT) algorithm based on a Maximum Sidelobe Decay (MSD) window is analyzed. The expressions for the contribution to the frequency estimation error of either the spectral interference from the sine-wave image component and wideband noise are derived. It is shown that two algorithm iterations ensure the minimum noise sensitivity achievable with the adopted window. The accuracy of the derived expressions is verified by means of computer simulations and validated by experimental results.

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2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings

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