On the Information Loss in Memoryless Systems: The Multivariate Case

Details On the Information Loss in Memoryless Systems: The Multivariate Case On the Information Loss in Memoryless Systems: The Multivariate Case

2011-09-22

arxiv.org/abs/1109.4856v2

Proc. Int. Zurich Seminar on Communications, 2012, pp. 32 - 35

Computer Science

Information Theory

7 pages, 6 figures; submitted to a conference

Scientific paper

10.3929/ethz-a-007023900

In this work we give a concise definition of information loss from a system-theoretic point of view. Based on this definition, we analyze the information loss in static input-output systems subject to a continuous-valued input. For a certain class of multiple-input, multiple-output systems the information loss is quantified. An interpretation of this loss is accompanied by upper bounds which are simple to evaluate. Finally, a class of systems is identified for which the information loss is necessarily infinite. Quantizers and limiters are shown to belong to this class.

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