基于高阶矩形卷积窗的多频信号参数估计

Multi-Frequency Signal Parameter Analysis Based on High-Order Rectangular Convolution Window

非同步采样多频信号后,为了减少对信号进行快速傅里叶变换(FFT)而出现的频谱泄漏和栅栏效应等负面影响,设计了一种高阶矩形卷积窗与三谱线插值相结合的信号参数估计方法,推导了多频信号频率、幅值和相位的估计公式,并利用多项式拟合出相应的关系表达式.利用高阶矩形卷积窗+三谱线插值算法、FFT和加Hanning窗算法进行多频信号参数估计对比仿真实验,实验结果表明,对于多频信号的频率和幅值,高阶矩形卷积窗+三谱线插值算法比FFT和加Hanning窗算法的估计精度更高.

When the multi-frequency signal is sampled asynchronously,in order to reduce the negative influence of the frequency spectrum leakage and the fence effect in the fast Fourier transform of the multi-frequency signal,we proposed a method of signal parameter estimation which combines a high-order rectangular convolution window and triple-spectral-line interpolation.The simulation experiment results show that,for the amplitude and frequency of the multi-frequency signal,the method of high-order rectangular convolution window triple-spectral-line interpolation has higher estimation accuracy than the method of FFT and the method of Hanning window.