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arXiv · 0801.2034

On the Boundedness of the Support of Optimal Input Measures for Rayleigh Fading Channels

Jochen Sommerfeld·Igor Bjelakovic·Holger Boche
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Abstract

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.

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Jochen Sommerfeld, Igor Bjelakovic, Holger Boche. 2008-01-14. On the Boundedness of the Support of Optimal Input Measures for Rayleigh Fading Channels. https://arxiv.org/abs/0801.2034

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