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RSS FeedsEntropy, Vol. 21, Pages 109: Quasi-Concavity for Gaussian Multicast Relay Channels (Entropy)

 
 

24 january 2019 13:00:16

 
Entropy, Vol. 21, Pages 109: Quasi-Concavity for Gaussian Multicast Relay Channels (Entropy)
 




Standard upper and lower bounds on the capacity of relay channels are cut-set (CS), decode-forward (DF), and quantize-forward (QF) rates. For real additive white Gaussian noise (AWGN) multicast relay channels with one source node and one relay node, these bounds are shown to be quasi-concave in the receiver signal-to-noise ratios and the squared source-relay correlation coefficient. Furthermore, the CS rates are shown to be quasi-concave in the relay position for a fixed correlation coefficient, and the DF rates are shown to be quasi-concave in the relay position. The latter property characterizes the optimal relay position when using DF. The results extend to complex AWGN channels with random phase variations.


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