基于遗传算法的复杂背景噪声中二维谐波的二次耦合分析

本文利用二维循环统计量方法对乘性噪声之间相关,乘性噪声和加性噪声之间也相关这种复杂噪声背景中二维谐波的二次非线性耦合问题做了分析。利用当且仅当二维谐波中存在二次非线性耦合谐波时,所定义的二维三阶时间平均矩谱仅在参与二次耦合谐波频率处取得极值的性质,提出了采用遗传算法来分析二维谐波的：二次非线性耦合问题的算法。仿真实验证明了算法的有效性。

The Analysis of Two-Dimensional Quadratic Coupled Harmonics in the Complex Noise Based on Genetic Algorithm

In this paper,the problem of the quadratic nonlinear coupling of two-dimensional (2-D) harmonics in the presence of correlative multiplicative and additive noise is studied.We propose a 2-D cyclic statistic-based approach to this problem.According to the properties that 2-D third-order time-average moment spectrum has the peak value at the coupling frequencies of harmonics when the 2-D harmonics only exists the quadratic nonlinear coupled harmonics,the Genetic Algorithm(GA) is employed to analyze the quadratic nonlinear coupling of 2-D harmonics.The effectiveness of our algorithms is demonstrated by the simulations.