| 基于自相关及相位差法的高精度频率估计算法 |
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| 引用本文： | 杨德钊,宋凝芳,林志立,欧攀.基于自相关及相位差法的高精度频率估计算法[J].北京航空航天大学学报,2011,37(8):1030-1033,1043. |
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| 作者姓名： | 杨德钊 宋凝芳 林志立 欧攀 |
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| 作者单位： | 北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191 |
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| 基金项目： | 北京航空航天大学青年创新基金资助项目(911901341) |
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| 摘 要： | 为提高高斯白噪声背景中正弦信号的频率估计精度,对基于自相关运算的频率估计算法的相关长度m进行了推导,得到了m的优化值与信噪比的关系式.当信噪比较高时,m的最优值为N/3(N为信号采样点数);信噪比较低时,m的最优值为N/2.通过对自相关法及分段FFT(Fast Fourier Transforms)相位差法特性的分析,提出了一种性能更优的频率估计综合算法. Monte Carlo仿真实验表明:新算法吸收了两种算法的优点,克服了其不足,在更大的信噪比范围内具有较高的频率估计精度,且计算量也较小.
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| 关 键 词： | 频率估计 自相关 快速傅里叶变换 误差分析 |
| 收稿时间： | 2010-04-16 |
High-accuracy frequency estimation algorithm based on autocorrelation and phase difference method |
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| Yang Dezhao Song Ningfang Lin Zhili Ou Pan.High-accuracy frequency estimation algorithm based on autocorrelation and phase difference method[J].Journal of Beijing University of Aeronautics and Astronautics,2011,37(8):1030-1033,1043. |
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| Authors: | Yang Dezhao Song Ningfang Lin Zhili Ou Pan |
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| Institution: | School of Instrument Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China |
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| Abstract: | In order to improve the frequency estimation accuracy of sinusoidal signal in white Gaussian noise,the correlation length m of the algorithm based on the autocorrelation operation was derived,and the equation representing the relationship of m and signal-to-noise ratio(SNR) was acquired.Given the data length N,the optimum value of m was N/3 when the SNR was large and it was N/2 when the SNR was small.The performance of segmented-FFT phase difference method and autocorrelation method were analyzed,and a new ... |
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| Keywords: | frequency estimation autocorrelation fast Fourier transforms(FFT) error analysis |
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