零均值复杂噪声背景下二维谐波的三次非线性耦合分析
doi: 10.3724/SP.J.1146.2006.00464
Two Dimensional Cubic Nonlinear Coupling Estimation in Zero Mean Independent Multiplicative Noise
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摘要: 该文利用一种四阶时间平均矩谱，通过对原始数据取平方的办法，改变了原始信号中噪声的统计特性，首次对零均值独立噪声背景下的二维谐波的三次耦合问题给出了解决方法，文中给出了详细的理论分析和证明。由于该方法也适合于非零均值噪声下的谐波耦合问题，因此这种方法不再需要对噪声的均值、颜色和分布作任何限制。仿真结果表明了该方法的有效性。Abstract: The statistics of the multiplicative and additive noise included in the sampled data is changed with squaring the sampled data. Cubic nonlinear coupling problem in zero mean independent noise is studied using a special fourth-order time-average moment spectrum. The theory analysis and the proof for the method are developed at details. Because the method may well applied to the situation where the mean of the noise is nonzero, so the method used in does not need any constrain on the mean, distribution, and the color of the noise. The simulation results illustrate the effectiveness and correctness of the proposed method.
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