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Tensor function analysis of quantized chaotic piecewise-affine pseudo-Markov systems. I. Second-order correlations and self similarity

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2 Author(s)
Rovatti, R. ; CEG-ARCES, Bologna Univ., Italy ; Mazzini, G.

A general approach is developed for the statistical analysis of quantized trajectories produced by a class of chaotic maps generalizing piecewise-affine Markov systems. The framework is based on a generalization of the Perron-Frobenius operator and on the mapping of its properties onto properties of tensor function algebra. The general results are specialized to the computation of second-order statistical behaviors and exemplified with the analysis of two nontrivial maps exhibiting self-similar correlation trends

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:49 ,  Issue: 2 )