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为解决非线性系统辨识多音激励信号的设计问题,提出了一种多音激励信号的设计方法.该方法首先研究了多音激励下Volterra核的频域输出特性,推导出了前3阶Volterra核的频域输出的计算公式,进而采用全局搜索法搜索最优频率分量,使非线性系统在多音信号激励下,各阶核的频域输出分量互不重合,从而达到系统可辨识的条件.对一非线性电路,采用所设计的激励信号,可辨识出该电路的前3阶Volterra频域核,验证了该方法的有效性.
In order to solve the design problem of multi-tone excitation signal identification for nonlinear systems, a design method of multi-tone excitation signal is proposed. The method first studies the frequency-domain output characteristics of Volterra kernel under multi-tone excitation and deduces the first three-order Volterra Then the global search method is used to search the optimal frequency components so that the non-linear system under the excitation of multi-tone signals will not coincide with each other in the frequency-domain output components of the different orders so that the system can recognize the conditions For a non - linear circuit, the designed excitation signal can be used to identify the first 3 Volterra frequency - domain kernels of this circuit, which verifies the effectiveness of this method.