基于全相位频谱分析的相位差频谱校正法
doi: 10.3724/SP.J.1146.2006.00804 cstr: 32379.14.SP.J.1146.2006.00804
Phase Difference Correcting Spectrum Method Based on All-phase Spectrum Analysis
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摘要: 为精确估计噪声背景下正弦信号频率、幅值、初始相位的真实值，结合全相位FFT与传统FFT谱分析形成了一种新的相位差频谱校正法。该法计算复杂度低,方便快捷。由两种主谱线上的谱分析结果经过简单运算即可校正出频率和幅值，而直接取主谱线上的全相位FFT相位谱值无需校正即可得到初始相位。由于全相位FFT具有抑制频谱泄漏的优良特性，因此该法适合于密集频率分布场合。该法相位估计误差非常低，无噪时处于10#61485;7分辨率级。Abstract: To estimate sinusoidal signals real frequency ,amplitude and original phase precisely under noisy circumstances, a novel phase difference correcting spectrum method which combines both all-phase FFT and conventional FFT is proposed. This technique is of low computation complexity and convenient. The frequency and amplitude estimation can be acquired by implementing simple operation on these two spectral analysis results at main spectral position, moreover the all-phase FFT phase- spectrum value at main spectral position can be directly viewed as the original phase without any correcting measures. Due to all-phase FFTs excellent property of inhibiting spectral leakage, the proposed method is also feasible in the cases of dense spectrum distribution. And the phase estimation error is very tiny in the 10#61485;7 resolution level with no noise added.
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