%0 Journal Article
%T Explicit and almost sure conditions for K/2 degrees of freedom
%A David Stotz
%A Helmut B£¿lcskei
%J Mathematics
%D 2014
%I arXiv
%X It is well known that in K-user constant single-antenna interference channels K/2 degrees of freedom (DoF) can be achieved for almost all channel matrices. Explicit conditions on the channel matrix to admit K/2 DoF are, however, not available. The purpose of this paper is to identify such explicit conditions, which are satisfied for almost all channel matrices. We also provide a construction of corresponding asymptotically DoF-optimal input distributions. The main technical tool used is a recent breakthrough result by Hochman in fractal geometry.
%U http://arxiv.org/abs/1404.7374v1