【摘要】 指出了非线性动态信号参数辨识的重要性;分析了目前采用的方法的不足;对非正交复Morlet小波满足Mercy条件和再生性的命题作了证明;用复Morlet小波构建出一种核函数,与主分量分析方法相结合,对非线性动态信号进行参数辨识和预测;仿真结果验证了该方法的正确性和有效性,表明该方法具有较好的理论价值和实用价值。更多还原

【Abstract】 The important value of non-linear dynamical signal parameters identificaton was pointed. The shortcomings of current methods were analyzed. It was provedthat non-orthogonal complex Morlet wavelet could satisfy Mercy Condition and have reproduction character in Hilbert Space. A kind of special kernel function was built, which was named Non-orthogonal Complex Morlet Wavelet Kernel Function, combined with Principal Component Analysis (PCA), and identified parameters and forcasted future information of non-linear dynamic signal. Contrast experiment results show that this kind of kernel function seems to be the most promising one and has some more applied value in this area.更多还原