Network Simplification: the Gaussian Diamond Network with Multiple Antennas


Nazaroglu C., Ebrahimi J. B., Oezguer A., Fragouli C.

IEEE International Symposium on Information Theory (ISIT), St Petersburg, Russia, 31 July - 05 August 2011, pp.79-83 identifier

  • Publication Type: Conference Paper / Full Text
  • City: St Petersburg
  • Country: Russia
  • Page Numbers: pp.79-83
  • Middle East Technical University Affiliated: Yes

Abstract

We consider the N-relay Gaussian diamond network when the source and the destination have n(s) >= 2 and n(d) >= 2 antennas respectively. We show that when n(s) = n(d) = 2 and when the individual MISO channels from the source to each relay and the SIMO channels from each relay to the destination have the same capacity, there exists a two relay sub-network that achieves approximately all the capacity of the network. To prove this result, we establish a simple relation between the joint entropies of three Gaussian random variables, which is not implied by standard Shannon-type entropy inequalities.(1)