On the High-SNR Capacity of Non-Coherent Networks

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We obtain the first term in the high signal-to-noise ratio (SNR) expansion of the capacity of fading networks where the transmitters and receivers--while fully cognizant of the fading \emph{law}--have no access to the fading \emph{realization}. This term is an integer multiple of $\log \log \textnormal{SNR}$ with the coefficient having a simple combinatorial characterization.
This work was presented in part at the Third Joint Workshop on Communications and Coding (JWCC'04) in Donnini-Firenze, Italy, October 14-17, 2004

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