DECODING OF SIGNAL FROM PHASE MODULATED UNSTABLE PERIODIC ORBIT
- 1 December 2001
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 11 (12), 3133-3136
- https://doi.org/10.1142/s0218127401004066
Abstract
In the method of secure communication suggested by Abarbanel and Linsay, a binary message is encoded by phase modulation of an unstable periodic orbit (UPO) of a chaotic system. It is demonstrated that the encoded message can be decoded from the transmitted signal alone without the knowledge of chaotic system, its orbit, and encoding scheme. The decoding method is based on the fact that errors in single step prediction for models which reconstruct the state space using the local linear approximation are relatively large for the points on UPO in the transmitted signal. This enables us to extract the UPO from the transmitted signal. The identification of UPO is then used to recover the original message.Keywords
This publication has 8 references indexed in Scilit:
- Electron valence band of zirconium tetrafluoridePhysical Review B, 1996
- The analysis of observed chaotic data in physical systemsReviews of Modern Physics, 1993
- Circuit implementation of synchronized chaos with applications to communicationsPhysical Review Letters, 1993
- Secure communications and unstable periodic orbits of strange attractorsIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1993
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Predicting chaotic time seriesPhysical Review Letters, 1987
- ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORSReviews of Modern Physics, 1984
- Geometry from a Time SeriesPhysical Review Letters, 1980