On Noncoherent Fading Relay Channels at High SNR

Details On Noncoherent Fading Relay Channels at High SNR On Noncoherent Fading Relay Channels at High SNR

2011-08-10

arxiv.org/abs/1108.2187v1

Computer Science

Information Theory

28 pages, 2 figures. Submitted to the IEEE Transactions on Information Theory

Scientific paper

The capacity of noncoherent fading relay channels is studied, where the communication between the transmitter and the receiver is supported by a relay, where the links between the terminals are fading channels, and where all terminals are aware of the fading statistics, but not of their realizations. It is shown that if the link between the transmitter and the receiver supports higher communication rates than the link between the relay and the receiver, then at high SNR it is best to turn the relay off. It is further shown that if the link between the transmitter and the relay supports higher communication rates than the link between the relay and the receiver, then at high SNR one can achieve communication rates that are within one bit of the capacity of the multiple-input single-output fading channel that results when the transmitter and the relay can cooperate.

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