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引用本文：

王晓峰,邢敏捷,刘歌,等.基于改进DFT相位差的正弦波频率估计[J].电讯技术，2016，56（10）： - . [点击复制]
WANG Xiaofeng,XING Minjie,LIU Ge,et al.Sinusoidal signal frequency estimation based on improved DFT phase difference[J].，2016，56（10）： - . [点击复制]

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基于改进DFT相位差的正弦波频率估计
王晓峰,邢敏捷,刘歌,赵汝鹏
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(空军航空大学信息对抗系，长春 130022;解放军93175部队，长春 13005)

摘要:

针对基于离散傅里叶变换（DFT）相位差的正弦波频率估计方法对频偏敏感的问题，提出了一种改进DFT相位差频率估计方法。首先推导了DFT相位差法频率估计的均方误差，然后提出了基于Rife插值的改进DFT相位差频率估计方法，较好地解决了正弦波频率估计对频偏敏感的问题。仿真实验结果表明，改进方法在各种频偏下均能取得较高的估计精度，估计性能接近克拉美罗限（CRLB）。

关键词: 正弦波频率估计频偏敏感 DFT相位差 Rife插值

DOI：

基金项目:

Sinusoidal signal frequency estimation based on improved DFT phase difference

WANG Xiaofeng,XING Minjie,LIU Ge,ZHAO Rupeng

()

Abstract:

The frequency offset sensitivity problem of discrete Fourier transform(DFT) phase difference method in sinusoid wave frequency estimation is studied.An improved DFT phase difference frequency estimation method is presented. Firstly,the mean-squared error(MSE) of DFT phase difference method is deduced.And then,an improved DFT phase difference frequency estimation method based on Rife interpolation is proposed. The improved method has well solved the problem of sensitivity to frequency offset. The computer simulation results indicate that the improved method has higher estimation accuracy in any frequency offset,and its estimation performance is close to Cramer-Rao lower bound(CRLB).

Key words: sinusoidal signal frequency estimation frequency offset sensitivity DFT phase difference Rife interpolation