Optimal Amplify‐and‐Forward Scheme for Parallel Relay Networks with Correlated Relay Noise
ETRI Journal(2014)
摘要
This paper studies a parallel relay network where the relays employ an amplify‐and‐forward
(AF) relaying scheme and are subjected to individual power constraints. We consider
correlated effective relay noise arising from practical scenarios when the relays
are exposed to common interferers. Assuming that the noise covariance and the full
channel state information are available, we investigate the problem of finding the
optimal AF scheme in terms of maximum end‐to‐end transmission rate. It is shown that
the maximization problem can be equivalently transformed to a convex semi‐definite
program, which can be efficiently solved. Then an upper bound on the maximum achievable
AF rate of this network is provided to further evaluate the performance of the optimal
AF scheme. It is proved that the upper bound can be asymptotically achieved in two
special regimes when the transmit power of the source node or the relays is sufficiently
large. Finally, both theoretical and numerical results are given to show that, on
average, noise correlation is beneficial to the transmission rate — whether the relays
know the noise covariance matrix or not.
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关键词
Amplify‐and‐forward,noise correlation,relay optimization,semi‐definite relaxation,semi‐definite program
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