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- W2153194902 abstract "We consider the N-relay Gaussian diamond network when the source and the destination have n <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sub> ≥ 2 and n <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d</sub> ≥ 2 antennas respectively. We show that when n <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sub> = n <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d</sub> = 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." @default.
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- W2153194902 date "2011-07-01" @default.
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- W2153194902 title "Network Simplification: The Gaussian diamond network with multiple antennas" @default.
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- W2153194902 doi "https://doi.org/10.1109/isit.2011.6034245" @default.
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