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| 摘要: |
| 对传统频谱分析的输入数据截断方式进行了改进,提出了全相位频谱分析,理论证明全相位频谱分析幅度谱是传统FFT频谱分析幅度谱的平方,可以很大程度上减小频谱泄露,同时,给出了其实现框图.另外.全相位频谱分析方法具有良好的相位分析性能,不受频偏影响,在信号是非整数倍频率采样情况下,由该方法分析的相位与信号真实相位误差极小,无需校正.提出基于全相位相位差法估计正弦信号幅值、频率和相位的新算法,对传统相位差法其序列的取法进行了改进,对单频余弦信号进行非整周期采样,分别用全相位相位差法和离散频谱综合相位差校正法对信号的频率、幅值和相位进行了校正.仿真结果证明该算法参数估计精度高于现有算法,具有较好的实用价值.在无噪情况下参数估计近似为无偏估计,尤其对相位的估计,误差达到0.001%. |
| 关键词: 全相位频谱分析参数估计 相位差 校正 |
| DOI： |
| 分类号:TN911 |
| 基金项目: |
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| High accuracy parameter estimation of sinusoidal signal based on all-phase spectrum analysis |
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HUANG Xiaohong WANG Zhaohua
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| Abstract: |
| The apFFT(all phase FFT) spectrum analysis and its implementation is put forward to im -prove the input data truncation of traditional spectrum analysis.It is theoretically proved that the amplitude spectrum of apFFT spectrum analysis is the square of that of traditional spectrum analysis,which reduces leakage greatly.The apFFT has perfect phase analysis performance with less impact of frequency shift.The phase analyzed by apFFT has extremely small error even if the sampling frequency is not the multiplication of signal frequency.An apFFT phase difference algorithm is proposed to estimate the amplitude,frequency and phase of sinusoidal signal.Simulation results prove that the algorithm is more accurate and practicable than the existing ones.The estimation is nearly error -free under no -noise conditions,and the phase error is less than 0.001%. |
| Key words: all-phase spectrum analysis,parameter estimation,phase difference,correction |
