任意均值复杂噪声下三次非线性耦合谐波分析

针对零均值乘性噪声和加性噪声共存,并且乘性噪声之间独立、乘性噪声和加性噪声之间也独立的噪声背景下谐波的三次非线性耦合问题,提出了一种特殊定义的四阶时间平均多矩谱方法.此方法能够有效地估计出观测信号中参与耦合的谐波频率,文中给出了详细的理论分析和证明.由于该方法也同样适合于非零均值噪声下的谐波耦合问题,因此不再需要对噪声的均值、颜色和分布作任何限制,从而对噪声的统计特性及分布的限制降到了最低,仿真结果表明了该方法的有效性.

Cubic Nonlinear Coupling Estimation in Any Mean Complex Noise

The problem of harmonic couple in zero mean multiplicative and additive noise was studied.Besides,the multiplicative noises are independent of themselves and they are also independent of the additive noise.Based on these special conditions,a special fourth-order time-average moment spectrum is proposed.The theoretical analysis and the verification of the method are given in detail.Because the method may well be applied to the situation where the mean of the noise is nonzero,so the method used in this paper doesn't need any constraint on the mean,distribution,and the color of the noise.The above algorithms are confirmed by simulations.