Noise robustness condition for chaotic maps with piecewise constant invariant density

Fabio Pareschi, Gianluca Setti, Riccardo Rovatti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

Chaotic maps represent an effective method for generating random-like sequences, that combines the benefits of relying on simple, causal models with good unpredictability. Regrettably such positive features are counterbalanced by the fact that statistics of true-implemented chaotic maps are generally strongly dependent on implementation errors and external perturbations. Here we study the effect of an external, additive, map-independent noise perturbation in the map model, and present a technique to guarantee, for a quite large class of maps, independence of the first-order statistics of the noise features.
Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - Sep 6 2004
Externally publishedYes

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