【摘要】 基于小波多分辨率分析的思想,提出一种降低混沌信号噪声的方法。首先对一个混沌时间序列进行小波分析,得到信号在各个尺度上的不同特性;再对各个高频细节信号进行二次小波去噪;最后对二次小波去噪后的信号进行线性叠加,达到提取真实信号的目的。分别对Rossler系统产生的混沌序列和黄河年径流量混沌序列进行了仿真研究,结果表明了该方法的有效性。更多还原

【Abstract】 A method was proposed to reduce noise within chaotic signal based on mulrti-resolution wavelet transform.Based on the wavelet analysis,different characters of chaotic signal were observed on different scales.Then,each detail with high frequencies was denoised by wavelet for the second time in order to observe the real signal.Chaotic time series generated by Rossler system and the practically observed yearly runoff of Yellow River were respectively applied for noise reduction.Simulation results show that this method is feasible to noisy chaotic signal.更多还原