Title :
Applications of chaotic time series analysis to signal processing
Author :
Downes, Philip T.
Author_Institution :
E-Syst., Inc., Greenville, TX, USA
Abstract :
Chaotic time series analysis methods are applied to communications signals for characterization. Ergodic invariants of nonlinear physical processes unique to a signal are calculated for signals collected from AM, FM, FSK, and SSB radios. Results include calculation of mutual information, information dimension, and Lyapunov exponents. Positive Lyapunov exponents for all signals are calculated and indicate the presence of low level chaos. A comparison of the Eckmann-Ruelle and Wolf methods for calculating Lyapunov exponents for a signal´s time series is presented. Information dimension results show separation of signals of some modulation types at the same frequency
Keywords :
Lyapunov methods; amplitude modulation; chaos; frequency modulation; frequency shift keying; information theory; signal processing; time series; AM; Eckmann-Ruelle method; FM; FSK; Lyapunov exponents; SSB; Wolf method; chaotic time series analysis; communications signals; ergodic invariants; information dimension; low level chaos; modulation; mutual information; nonlinear physical processes; signal processing; Amplitude modulation; Chaos; Chaotic communication; Delay effects; Extraterrestrial measurements; Frequency shift keying; Mutual information; Signal analysis; Signal processing; Time series analysis;
Conference_Titel :
Signals, Systems and Computers, 1992. 1992 Conference Record of The Twenty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-3160-0
DOI :
10.1109/ACSSC.1992.269250
