高斯白噪声中正弦信号的初相估计

Phase estimation of sinusoid signal in white Gaussian noise

对正弦信号初相估计精度受噪声影响较大,本文提出了一种在加性高斯白噪声中对正弦信号初相估计的方法。该方法基于DFT和Chirp-Z变换,用Chirp-Z变换进一步细化频谱,从Chirp-Z变换的相位中得到正弦信号初相估计值。与传统的基于DFT相位的初相估计法相比,该方法受噪声影响较小,能得到更加精确的频率估计值,从而具有更高的初相估计精度。仿真结果表明了此方法的有效性。

The precision of the initial phase estimation of a sinusoid signal is affected by noise.A method for estimating the initial phase of a sinusoid signal in additive white Gaussian noise is proposed in this paper.The initial phase can be obtained by using the Discrete Fourier Transforms（DFT） and the Chirp-Z transforms in this method,and the initial phase is obtained by the phase of Chirp-Z spectrum at its maximum amplitude position.Compared with DFT,some experimental results are provided to demonstrate the better performance of the estimation method proposed by this paper.