Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A1L-B
Session:
Number:A1L-B3
Chaotic Analysis with Primitive Root Codes and Its Applications for Communications
Ken Umeno,
pp.29-32
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
Complex orthogonal codes called primitive root codes, originally derived from periodic orbit of exactly solvable chaotic maps on the unit circle in the complex plane can be applied to a orthogonal basis for spectrum decomposition. It is found that a dynamical characteristic of general mixtures of chaotic signals can easily be obtained by this spectrum analysis using the fact that mathematical spectrum given by the primitive roots is closely related to the Lyapunov characteristic exponent of the code unstable periodic orbit of a featured chaotic dynamical system.