|Title||Information Loss in Static Nonlinearities|
|Publication Type||Conference Paper|
|Year of Publication||2011|
|Authors||Geiger, B., Feldbauer C., & Kubin G.|
|Conference Name||IEEE Int. Sym. on Wireless Communication Systems (ISWCS)|
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.
|Full Text|| |
extended version available under arXiv:1102.4794 [cs.IT]