A current-mode circuit implementing chaotic continuous piecewise-affine Markov maps

R. Rovatti, N. Manaresi, G. Setti, E. Franchi

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

7 Scopus citations


This work is organized in two parts: first the statistical properties of piecewise-affine Markov maps are recalled. Analytical methods for the computation of the invariant probability densities and the rate of mixing are presented relying on the approximation of the Perron-Frobenius operator with a suitable finite-dimensional operator. Then, a modular current-mode architecture for the implementation of continuous piecewise-affine Markov maps is presented. It relies in the decomposition of continuous piecewise-affine maps by means of a suitable set of triangular basis functions which can be easily implemented by means of a daisy-chain of current-mirror based blocks. These basis functions are then weighted by R-2R equivalent ladder and summed to give the final input-output relationship. Simulations show the effectiveness of this approach in producing differently distributed and almost uncorrelated sequences.
Original languageEnglish (US)
Title of host publicationProceedings of the 7th International Conference on Microelectronics for Neural, Fuzzy and Bio-Inspired Systems, MicroNeuro 1999
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages8
ISBN (Print)0769500439
StatePublished - Jan 1 1999
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15


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