Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 207971, 12 pages
Research Article

Synchronization of Discrete-Time Chaotic Systems in Bandlimited Channels

1Programa de Pós-graduação em Engenharia Elétrica, Escola de Engenharia da Universidade Presbiteriana Mackenzie, São Paulo, Brazil
2Departamento de Telecomunicações Controle, Escola Politécnica da Universidade de São Paulo, São Paulo, Brazil

Received 30 January 2009; Accepted 13 March 2009

Academic Editor: José Roberto Castilho Piqueira

Copyright © 2009 Marcio Eisencraft et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Over the last couple of decades, many methods for synchronizing chaotic systems have been proposed with communications applications in view. Yet their performance has proved disappointing in face of the nonideal character of usual channels linking transmitter and receiver, that is, due to both noise and signal propagation distortion. Here we consider a discrete-time master-slave system that synchronizes despite channel bandwidth limitations and an allied communication system. Synchronization is achieved introducing a digital filter that limits the spectral content of the feedback loop responsible for producing the transmitted signal.