Jan Hansen, ETH Zürich
In recent years wireless communications has evolved as a subject in applied engineering with tremendous impact on economy and society. As the acclaimed goal has been to provide any kind of information to anybody anywhere, more and more complex systems are developed, which aim to achieve maximum possible data rates. The design of these systems requires knowledge about radio wave propagation mainly in man-made environments, such as dense urban areas or floors within buildings. The key problem is that electromagnetic theory provides answers for deterministic scenarios only, but that communication systems are designed to operate within any type of environment; properties of random geometries must be studied, which are quite unknown in engineering. For the commonly chosen ray optical approach it turns out that many concepts familiar in Geometric Probabilities are the tool which is required to tackle this issue. After a brief introduction to the wave propagation aspects, this talk will outline typical applications of random geometric problems in wireless communications and give solutions for specific cases.