| FFT幅相联合的快速高精度频率估计方法 |
| Fast and high‐precision frequency estimation via the combination of FFT amplitude and phase information |
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| 中文摘要: |
| 快速傅里叶变换（Fast Fourier Transform，FFT）常用于信号频率估计，采用填零的方法可降低幅度谱频率搜索间隔的量化误差，但是会使频率估计的计算量成倍增加。本文提出了一种FFT幅相联合的快速高精度频率估计算法，首先利用信号采样的频谱序列和尾首样本差确定幅度谱及峰值位置，然后由频谱序列在幅度谱峰值位置和信号采样的尾首样本差来确定频率搜索间隔的量化误差校正值。因此，所提方法同时利用了幅度谱峰值的位置信息与相位信息。分析结果表明，与仅基于幅度谱搜索的FFT算法相比，所提方法的计算复杂度更低，且定位精度更高。 |
| 英文摘要: |
| The fast Fourier transform (FFT) is commonly used for signal frequency estimation, and the zero-filling method can reduce the quantization error of the amplitude spectrum frequency search interval, but it will increase the computational effort of frequency estimation exponentially. In this paper, a fast and high-precision frequency estimation algorithm based on FFT amplitude-phase combination is proposed. First, the amplitude spectrum and its peak position are determined by using the spectrum sequence of signal sampling and the difference between tail and head samples. Then, the quantization error correction value of the frequency search interval is determined by the spectrum sequence peak position in the amplitude spectrum and the tail sample difference of signal sampling. Therefore, the proposed method utilizes both the position information and the phase information of the peak value of the amplitude spectrum. Simulation results show that the proposed algorithm has lower computational complexity and higher positioning accuracy compared with the FFT algorithm based on amplitude spectrum search only. |
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| 中文关键词: 快速傅里叶变换 频率估计 量化误差校正 快速频率估计 |
| 英文关键词:fast Fourier transformation (FFT) frequency estimation quantization error correction fast frequency estimation |
| 基金项目: |
| DOI：10.11823/j.issn.1674-5795.2022.06.05 |
| 引用本文：马罗文, 刘宁, 胡心语, 倪丽花.FFT幅相联合的快速高精度频率估计方法[J].计测技术,2022,(6):. |
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