Reduction of noise in chaotic systems by wavelet multiscaling decomposition algorithm

Xian Gao Huang, Jian Xue Xu, Daihai He, Jun Li Xia, Ze Jun Lü

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


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 background. This algorithm utilizes the characteristic that wavelet transform has an outstanding local feature 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 results of computer simulation are given for extracting the sine signal, white noises (distributed uniformly or in Gaussion shape) and Chua's chaotic signal from Lorenz chaotic background.
Original languageEnglish
Pages (from-to)1816-1817
Number of pages2
JournalWuli Xuebao/Acta Physica Sinica
Issue number10
Publication statusPublished - 1 Oct 1999
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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