Information Loss in Static Nonlinearities

Details Information Loss in Static Nonlinearities Information Loss in Static Nonlinearities

2011-02-23

arxiv.org/abs/1102.4794v2

Proc. IEEE Int. Sym. Wireless Communication Systems, 2011, pp. 799 - 803

Computer Science

Information Theory

9 pages, 6 figures; A short version of this paper is submitted to an IEEE conference

Scientific paper

10.1109/ISWCS.2011.6125272

In this work, conditional entropy is used to quantify the information loss induced by passing a continuous random variable through a memoryless nonlinear input-output system. We derive an expression for the information loss depending on the input density and the nonlinearity and show that the result is strongly related to the non-injectivity of the considered system. Tight upper bounds are presented, which can be evaluated with less difficulty than a direct evaluation of the information loss, which involves the logarithm of a sum. Application of our results is illustrated on a set of examples.

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