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Outage Capacity of the Fading Relay Channel in the Low-SNR Regime
Avestimehr, A.S.   Tse, D.N.C.  
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA;

This paper appears in: Information Theory, IEEE Transactions on
Publication Date: April 2007
Volume: 53,  Issue: 4
On page(s): 1401-1415
ISSN: 0018-9448
INSPEC Accession Number: 9381933
Digital Object Identifier: 10.1109/TIT.2007.892773
Current Version Published: 2007-03-26

Abstract
In slow-fading scenarios, cooperation between nodes can increase the amount of diversity for communication. We study the performance limit in such scenarios by analyzing the outage capacity of slow fading relay channels. Our focus is on the low signal-to-noise ratio (SNR) and low outage probability regime, where the adverse impact of fading is greatest but so are the potential gains from cooperation. We showed that while the standard Amplify-Forward protocol performs very poorly in this regime, a modified version we called the Bursty Amplify-Forward protocol is optimal and achieves the outage capacity of the network. Moreover, this performance can be achieved without a priori channel knowledge at the receivers. In contrast, the Decode-Forward protocol is strictly suboptimal in this regime. Our results directly yield the outage capacity per unit energy of fading relay channels

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