乘法噪声中非线性耦合谐波分析

The Analysis of Nonlinear Coupled Harmonics in Multiplicative Noise

针对信号的非平稳性质 ,引入傅里叶级数多谱和比例多周期图的概念 ,分别提出了零均值乘法噪声二次耦合及非零均值乘法噪声三次耦合谐波频率估计方法 ,仅使用单个数据记录即可得到耦合频率估计 ,并且可以抑制加性平稳噪声而无须假定其颜色和分布 .

For the nonstationary property of the mixed process,Fourier series polyspectra and scaled polyperiodograms are introduced.We propose a new method to estimate frequencies of quadratic coupled harmonics in multilicative noise with zero mean and ones of cubic coupled harmonics in multiplicative noise with non zero mean.Cupled frequencies can be obtained only by single record data and additive stationary noise is restrained without assumption of noise color and distribution.Finally, the simulation results are given.