SciELO - Scientific Electronic Library Online

 
vol.2 número2An Autonomous system for linear and angular measurements in big surfacesPerformance of a new bus assignment algorithm for an ATM switch fabric índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Revista

Articulo

Indicadores

Links relacionados

  • No hay artículos similaresSimilares en SciELO

Compartir


Journal of applied research and technology

versión On-line ISSN 2448-6736versión impresa ISSN 1665-6423

J. appl. res. technol vol.2 no.2 Ciudad de México ago. 2004

 

Experimental realization of binary signals transmission based on synchronized Lorenz circuits

 

C. Posadas-Castillo1 , C. Cruz-Hernández2 & R. Núnez-Pérez2

 

1 Faculty of Enginnering Mechanic and Electrical (FIME), Nuevo León Autonomous University (UANL), Pedro de Alba s/n Cd. Universitaria San Nicolas de los Garza, Nuevo León, México. cornelio_posadas@hotmail.com

2 Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Km. 107 Carretera Tijuana-Ensenada, Ensenada, B.C., 22860, México. ccruz@cicese.mx

 

Received: May 24th, 2002.
Accepted: November 18th, 2002.

 

Abstract

In this paper, an experimental study of practical realization to transmit private binary signals using chaos is presented. In particular, we use a Generalized Hamiltonian systems approach to synchronize two unidirectionally coupled Lorenz circuits with the receiver being given by an observer. Experimental results are in close accordance with the numerical simulations.

Keywords: Synchronization, Chaos, Lorenz system, Passivity based observers, Private communication.

 

Resumen

Este trabajo presenta un estudio experimental relacionado con la comunicación de información privada, empleando caos, con base en la sincronía de dos circuitos de Lorenz por formas hamiltonianas y el diseño de un observador para el receptor. Los resultados experimentales coinciden con las simulaciones numéricas.

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

Acknowledgment

This work was supported by the CONACYT, Mexico, under Research Grant 31874-A.

 

References

[1] Pecora L.M. & Carroll J.L. "Synchronization in chaotic systems", Phys. Rev. Lett 64, 821-824, 1990.         [ Links ]

[2] Chua, L.O., Kocarev, Lj., Eckert, K. & Itoh, M. "Experimental chaos synchronization in Chua's circuit", Int. J. Bifurc. Chaos 2(3), 705-708, 1992.         [ Links ]

[3] Kocarev, L., Halle, K.S., Eckert, K., Chua, L.O. & Parlitz, U. "Experimental demostration of secure communications via chaotic synchronization", Int.J. Bifurc. Chaos2(3), 709-713, 1992.         [ Links ]

[4] Ogorzalek, M.J. "Faming chaos-Part I- Synchronization", EEEE Frans. Circuits Syst. I, 40(10), 693-699, 1993.         [ Links ]

[5] Wu, C.W. & Chua, L.O. "A simple way to synchronize chaotic systems with applications to secure communication systems", Int. J. Bifurc. Chaos 3 (6), 1619-1627, 1993.         [ Links ]

[6] Ding, M. & Ott, E. "Enhancing synchronism of chaotic systems", Phys. Rev. E49 (2), 945-948, 1994.         [ Links ]

[7] Feldmann, U. "Communication by chaotic signals: The inverse system approach", Int. J. Circuit Theory and Applications 24, 551-579, 1996.         [ Links ]

[8] Nijmeijer, H. & Mareels, I.M.Y. "An observer looks at synchronization", IEEE Trans. Circuits Syst. I 44 (10), 882-890, 1997.         [ Links ]

[9] Special Issue on "Chaos synchronization and control: Theory and applications", IEEE Trans. Circuits Syst. 144 (10), 1997.         [ Links ]

[10] Fradkov, A.L., Markov, A. & Yu, A. P. "Adaptive synchronization of chaotic systems based on speed gradient method and passification", IEEE Trans. Circuits Syst. 144 (10), 905-917, 1997.         [ Links ]

[11] Cruz C. & Nijmeijer, H. "Synchronization through extended Kalman filtering", New Trends in Nonlinear Observer Design, eds. Nijmeijer, H. & Fossen, T.I., Lecture Notes in Control and Information Sciences 244 (Springer-Verlag), 469-490, 1999.         [ Links ]

[12] Cruz C. & Nijmeijer, H. "Synchronization through filtering", Int. J. Bffurc. Chaos 10 (4), 763-775, 2000.         [ Links ]

[13] Special Issue on "Control and synchronization of chaos", Int. J. Bifurc. Chaos 10 (3-4), 2000.         [ Links ]

[14] Sira-Ramírez H. & Cruz, C. "Synchronization of chaotic systems: A generalized Hamiltonian systems approach", Int. J. Bifurc. Chaos 11 (5), 1381-1395, 2001.         [ Links ] And in Procs. ofAmerican Control Conference, June 28-30, 2000, Chicago, Ill., USA, 769-773.         [ Links ]

[15] Pikovsky, A. Rosenblum, M. & Kurths, J. "Synchronization: A universal concept in nonlinear sciences", Cambridge University Press, 2001.         [ Links ]

[16] Aguilar A. & Cruz, C. "Synchronization of two hyperchaotic Rossler systems: Model-matching approach", Transactions on Systems, 1(2), 198-203, 2002.         [ Links ]

[17] Cuomo, K.M. Oppenheim, A.V. & Strogratz, S.H. "Synchronization of Lorenz-based chaotic circuits with applications to communications", IEEE Trans. Circuits Syst. II 40(10), 626-633, 1993.         [ Links ]

[18] Parlitz, U. Chua, L.O. Kocarev, Lj. Halle, K.S. & Shang, A. "Transmission of digital signals by chaotic synchronization", Int. J. Bifurc. Chaos 2(4), 973-977, 1992.         [ Links ]

[19] Dedieu, H., Kennedy, M. & Hasler, M. "Chaotic shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits", IEEE Trans. Circuits Syst. II 40(10), 634-642, 1993.         [ Links ]

[20] Yang T. & Chua, L.O. "Secure communication via chaotic parameter modulation", IEEE Trans. Circuits Syst. I 43(9), 817-819, 1996.         [ Links ]

[21] Lorenz, E.N. "Deterministic nonperiodic flow," J. Atmospheric Sci. 20, 130-141, 1963.         [ Links ]

[22] Posadas C. & Cruz, C. "Transmisión de información privada sincronizando osciladores caóticos hamiltonianos", Congreso Nacional de la Asociación de México de Control Automático, A.C., May 3-4, 2001, San Luis Potosí, S.L.P., México.         [ Links ]

[23] Posadas C. & Cruz, C. "Transmisión de información privada sincronizando osciladores caóticos hamiltonianos", Congreso Nacional de la Asociación de México de Control Automático, A.C., May 3-4, 2001, San Luis Potosí, S.L.P., México.         [ Links ]

[24] Posadas, C. Cruz, C. & Núñez, R. "Experimental realization of binary signals transmission based on synchronized Lorenz circuits", Procs. of the 2nd WSEAS Int. Conf. on Measurement, Control, Circuits and Systems, May 12-16, 2002, Cancún México.         [ Links ]

Creative Commons License Todo el contenido de esta revista, excepto dónde está identificado, está bajo una Licencia Creative Commons