Accuracy Analysis of Frequency Estimation of Sinusoid Based on Interpolated FFT
Accuracy Analysis of Frequency Estimation of Sinusoid Based on Interpolated FFT
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发表时间：
2004
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通讯作者：
Xin-le Jia
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作者：
Xin-le Jia
研究了基于插值FFT的正弦信号频率估计技术的精度。推导了在不加加权窗和加Harming窗的情况下，不同信噪比和不同FFT长度下频率估计均方根误差的计算公式。研究结果表明，当信号频率接近FTT主瓣中心时，由于插值方向的反转，不加加权窗的插值FFT会导致频率估计误差较大，因此在噪声背景下，插值FFT方法的频率估计误差远大于Jain在[2]中对给定的纯测试正弦信号的频率估计误差。讨论了加权窗对频率估计精度的影响。计算机Monte Carlo模拟结果与本文给出的公式符合得很好。
The accuracy of the frequency estimation technique of sinusoid based on the interpolated FFT is investigated. Formulas for evaluating the root-mean-square (RMS) error of frequency estimation for different signal-to-noise ratio and different FFT length without weighting window and with Harming window are derived. Study results show that when the frequency of the signal is close to the center of the main lobe of the FTT, due to the inversion of the interpolation direction, the interpolated FFT without weighting window results in large errors in frequency estimation.Therefore in noise background, the frequency estimation error of the interpolated FFT method is much larger than that achieved by Jain in [2] using a given pure test sinusoid signal. The effect of the weighting window on frequency estimation accuracy is also discussed. Computer Monte Carlo simulation results fit well with the fonnulas given in this paper.