Some Results on the Information Loss in Dynamical Systems

Details Some Results on the Information Loss in Dynamical Systems Some Results on the Information Loss in Dynamical Systems

2011-06-13

arxiv.org/abs/1106.2404v1

Proc. IEEE Int. Sym. Wireless Communication Systems, 2011, pp. 794 - 798

Computer Science

Information Theory

6 pages, 2 figures, submitted to a conference

Scientific paper

10.1109/ISWCS.2011.6125271

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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