Title :
Nonlinear dynamics techniques in signal processing
Author_Institution :
Greenville Div., E-Syst., TX, USA
Abstract :
This paper describes the calculation of Lyapunov exponents and fractal dimension for a chaotic time series. These metrics provide appropriate characterization for the nonperiodic signals generated by low dimensional nonlinear systems. Nonlinear dynamics account for the underlying ergodicity of the nonlinear system which produces such signals. Results for several nonlinear systems are presented
Keywords :
Lyapunov methods; chaos; fractals; nonlinear dynamical systems; signal processing; time series; calculation of Lyapunov exponents; chaotic time series; ergodicity; fractal dimension; low dimensional nonlinear systems; nonlinear dynamics; nonperiodic signals; signal processing; Chaos; Character generation; Delay effects; Image reconstruction; Nonlinear dynamical systems; Nonlinear systems; Sampling methods; Signal analysis; Signal generators; Signal processing;
Conference_Titel :
Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0508-6
DOI :
10.1109/SSAP.1992.246893
