Open AccessSTATE SPACE RECONSTRUCTION AT POOR SIGNAL TO NOISE RATIO
Author(s) -
Yuan Jian,
Xiao Xian-ci
Publication year - 1997
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.46.1290
Subject(s) - chaotic , signal reconstruction , noise (video) , computer science , signal (programming language) , lorenz system , white noise , phase space , state space , algorithm , phase portrait , physics , signal processing , artificial intelligence , mathematics , bifurcation , telecommunications , statistics , image (mathematics) , nonlinear system , quantum mechanics , radar , programming language
For state space reconstruction of the chaotic signals overwhelmed in the noise,based on dynamical systems theory and current methods of reconstruction, we propose a new reconstruction method by using the subset of principal components with the largest variance. We also discuss the reconstruction window. The new approach is verified by analyzing the singular spectra and the phase portraits of the Lorenz′s signal superposed with white noise.