利用希尔伯特变换进行谐波恢复

On Harmonic Retrieval Using Hilbert Transform

非高斯有色噪声中具有相位耦合的谐波恢复问题是迄今为止没有得到很好解决的问题．本文基于希尔伯特变换和高阶累积量提出了一种新方法：ＨＢＳＴＣＨ－ＳＶＤ－ＴＬＳ．仿真实验表明，该方法不仅较好地解决了非高斯有色噪声中的具有二次相位耦合的谐波恢复问题，而且具有广泛的适用性．

So far,the problem of the harmonic retrieval with quadratic phase coupling in non-Gaussian noise has not been resolved well. Based on Hilbert transform and cumulant,this paper proposes a new method named HBSTCH-SVD-TLS. Simulation results show that the method not only resolves the problem of the harmonic retrieval with quadratic phase coupling in non Gaussian noise,but also has wide application.