相关乘性和加性噪声共存背景下的谐波恢复

针对零均值乘性噪声和加性噪声共存、并且乘性噪声之间相关,乘性噪声和加性噪声之间也相关的噪声背景下的谐波频率估计问题,先用噪声互可混的概念来体现多个噪声之间的相关关系,并在此基础上提出了一种四阶时间平均多矩谱方法。该方法能够有效地估计出观测信号中的谐波频率,并且无需限制噪声的颜色和分布。仿真实验验证了该算法的正确性。

Harmonics retrieval in correlative multiplicative and additive noise

The problem of harmonic retrieval in zero mean multiplicative and additive noise was studied. The multiplicative noise is correlative itself and it is also correlative with the additive noise. The cross-mixing concept representing the correlative relationship of the noise was proposed. Based on this idea, a special fourth order time average moment spectrum was defined to estimate frequency of the harmonics. The proposed method does not need the constrain on the distribution and color of the noise, and its effectiveness was shown through simulation examples.