|Title||On the Information Loss in Memoryless Systems: The Multivariate Case|
|Publication Type||Conference Paper|
|Year of Publication||2012|
|Authors||Geiger, B., & Kubin G.|
|Conference Name||Int. Zurich Seminar on Communications|
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 memoryless 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.
|Full Text|| |
extended version available under arXiv:1109.4856 [cs.IT]