REDUCTION OF NOISE IN CHAOTIC SYSTEMS BY WAVELET MULTISCALING DECOMPOSITION ALGORITHM
Huang Xian-gao, Jian-Xue Xu, Daihai He, XIA JUN-LI, LV Ze-jun, (1)空军电讯工程学院,西安 710071; (2)西安交通大学非线性动力学所,西安 710049; (3)重庆大学应用数学系,重庆 630044 · Acta Physica Sinica · 1999
We apply the wavelet multiscaling decomposition algorithm,which has been developed for noise reduction,to the extraction of periodic signal,noise and other chaotic signal from chaotic back-ground.This algorithm utilizes the characteristic that wavelet transform has an outstanding local fea-ture in time-frequency domains and it is a linear transform.Therefore it can distinguishes signals with different scales.In contrast to the previous methods our method uses the feature of signal scales and dose not demand restrictive assumptions that we must know the mathematical model of the chaotic background and that the amplitude of signal is smaller than that of the chaotic background.The re-sults of computer simulation are given for extracting the sine signal,white noises (distributed uni-formly or in Gaussion shape) and Chua's chaotic signal from Lorenz chaotic back ground.