Some Results on the Information Loss in Dynamical Systems

Bernhard C. Geiger; Gernot Kubin

doi:10.1109/iswcs.2011.6125271

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arXiv · 1106.2404

Some Results on the Information Loss in Dynamical Systems

Bernhard C. Geiger·Gernot Kubin

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Abstract

In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the information loss rate, defined as the (non-negative) difference between the entropy rates of the jointly stationary stochastic processes at the input and output of the system. We further introduce a family of systems with vanishing information loss rate. It is shown that not only linear filters belong to that family, but - under certain circumstances - also finite-precision implementations of the latter, which typically consist of nonlinear elements.

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BibTeX RIS

Bernhard C. Geiger, Gernot Kubin. 2011-06-13. Some Results on the Information Loss in Dynamical Systems. https://doi.org/10.1109/iswcs.2011.6125271

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