%0 Journal Article
%T On the Boundedness of the Support of Optimal Input Measures for Rayleigh Fading Channels
%A Jochen Sommerfeld
%A Igor Bjelakovic
%A Holger Boche
%J Mathematics
%D 2008
%I arXiv
%X We consider transmission over a wireless multiple antenna communication system operating in a Rayleigh flat fading environment with no channel state information at the receiver and the transmitter with coherence time T=1. We show that, subject to the average power constraint, the support of the capacity achieving input distribution is bounded. Moreover, we show by a simple example concerning the identity theorem (or uniqueness theorem) from the complex analysis in several variables that some of the existing results in the field are not rigorous.
%U http://arxiv.org/abs/0801.2034v1