Synchronization through filtering

C. Cruz, H. Nijmeijer

Research output: Contribution to journalArticleAcademicpeer-review

82 Citations (Scopus)
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Abstract

We study the synchronization problem in discrete-time via an extended Kalman filter (EKF). That is, synchronization is obtained of transmitter and receiver dynamics in case the receiver is given via an EKF that is driven by a noisy drive signal from a noisy transmitter dynamics. The convergence of the filter dynamics towards the transmitter dynamics is rigorously shown using recent results in extended Kalman filtering. Two extensive simulation examples show that the filter is indeed suitable for synchronization of (noisy) chaotic transmitter dynamics. An application to private communication is also given.
Original languageEnglish
Pages (from-to)763-775
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume10
Issue number4
DOIs
Publication statusPublished - 2000

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