### Continuity of mutual entropy in the limiting signal-to-noise ratio regimes

Kelbert, M *(Swansea)*

Tuesday 30 March 2010, 16:00-17:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

We addresses the issue of the proof of the entropy power inequality (EPI), an important tool in the analysis of Gaussian channels of information transmission, proposed by Shannon. We analyse continuity properties of the mutual entropy of the input and output signals in an additive memoryless channel and show how this can be used for a correct proof of the entropy-power inequality under various types of assumptions.