The Gaussian Multiple Access Diamond Channel

Details The Gaussian Multiple Access Diamond Channel The Gaussian Multiple Access Diamond Channel

2011-04-17

arxiv.org/abs/1104.3300v1

Computer Science

Information Theory

Scientific paper

In this paper, we study the capacity of the diamond channel. We focus on the special case where the channel between the source node and the two relay nodes are two separate links of finite capacity and the link from the two relay nodes to the destination node is a Gaussian multiple access channel. We call this model the Gaussian multiple access diamond channel. We propose both an upper bound and a lower bound on the capacity. Since the upper and lower bounds take on similar forms, it is expected that they coincide for certain channel parameters. To show this, we further focus on the symmetric case where the separate links to the relays are of the same capacity and the power constraints of the two relays are the same. For the symmetric case, we give necessary and sufficient conditions that the upper and lower bounds meet. Thus, for a Gaussian multiple access diamond channel that satisfies these conditions, we have found its capacity.

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