University of Bologna

Dipartimento di Elettronica, Informatica e Sistemistica

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Searched for "MICRONEURO99:Rov"
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A current-mode circuit implementing chaotic continuous piecewise-affine Markov maps

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


The 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.

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