分形差分高斯噪声中正弦波频率估计

Estimation of Frequencies of Sinusoids in Fractionally Differenced Gaussian Noise

本文提出了分形噪声中的谐波恢复问题，针对分形差分高斯噪声中正弦波频率估计，提出了一种偏差补偿线性最小二乘与极大似然估计相结合的组合算法。模拟实验结果表明，该方法不仅具有高的分辨率，而且能有效地抑制分形差分高斯噪声的影响。

In this paper,the problem of harmonic retrieve in fractal noise is proposed. For the estimation of frequencies of sinusoids in fractionally differenced Gaussian noise,a combinatory method of bias compensated least squares (BCLS) and maximum likelihood (ML) is presented. It is demonstrated by simulations that the new approach has high resolution and can suppress the effect of fractionally differenced Gaussian noise.