论文部分内容阅读
提出了基于Wigner分布(WD)的判定混沌信号的改进方法。利用混沌信号的窄带特性和三维时频谱图的峰值波动情况判定混沌信号。该方法经洛伦兹系统验证是可行的。计算了混沌信号与高斯噪声的Wigner分布,结果表明可以从三维时频谱直接将两者区分开。计算基于半导体光放大器(SOA)的环形激光器输出光实验数据的三维时频谱,结果与洛伦兹系统的非常相似,从而可判定该实验装置产生信号确为混沌信号。Wigner分布三维时频谱准确地反映了信号的谱特性,能够将系统的不稳状态与混沌状态以及噪声区分开。无论是由动力学方程产生的混沌还是实验上产生的混沌信号都可直观、有效地进行判定。
An improved method for judging chaotic signals based on Wigner distribution (WD) is proposed. The chaotic signal is judged by the narrowband characteristics of chaotic signal and the peak fluctuation of three-dimensional time-frequency spectrum. This method is validated by Lorentz system. The Wigner distributions of chaotic signals and Gaussian noise are calculated. The results show that the two can be directly separated from the three-dimensional time-frequency spectrum. The calculation of three-dimensional time-frequency spectrum of the output data of a ring laser based on a semiconductor optical amplifier (SOA) is very similar to that of a Lorentz system, so that the signal generated by the experimental apparatus can be judged as a chaotic signal. Wigner distribution of three-dimensional time-frequency spectrum accurately reflects the spectral characteristics of the signal, the system can be unstable and chaotic state and noise to distinguish. Whether it is chaos generated by dynamic equations or experimentally generated chaotic signals can be directly and effectively judged.